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132000311301232 = 241119435317320657
BaseRepresentation
bin11110000000110110110111…
…101010100101010001110000
3122022101002212122121212202011
4132000312313222211101300
5114300143114143114412
61144424034511132304
736542464524215353
oct3600666752452160
9568332778555664
10132000311301232
1139072021541260
121297a665214094
13588676447326a
142484bc612429a
15103d96ea687a7
hex780db7aa5470

132000311301232 has 160 divisors (see below), whose sum is σ = 306184892555520. Its totient is φ = 54472770293760.

The previous prime is 132000311301227. The next prime is 132000311301239. The reversal of 132000311301232 is 232103113000231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132000311301239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039353 + ... + 16281304.

It is an arithmetic number, because the mean of its divisors is an integer number (1913655578472).

Almost surely, 2132000311301232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132000311301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153092446277760).

132000311301232 is an abundant number, since it is smaller than the sum of its proper divisors (174184581254288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132000311301232 is a wasteful number, since it uses less digits than its factorization.

132000311301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17320791 (or 17320785 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 132000311301232 its reverse (232103113000231), we get a palindrome (364103424301463).

The spelling of 132000311301232 in words is "one hundred thirty-two trillion, three hundred eleven million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 38 43 44 53 76 86 88 106 152 172 176 209 212 304 344 418 424 473 583 688 817 836 848 946 1007 1166 1634 1672 1892 2014 2279 2332 3268 3344 3784 4028 4558 4664 6536 7568 8056 8987 9116 9328 11077 13072 16112 17974 18232 22154 25069 35948 36464 43301 44308 50138 71896 86602 88616 100276 143792 173204 177232 200552 346408 401104 476311 692816 952622 1905244 3810488 7620976 17320657 34641314 69282628 138565256 190527227 277130512 329092483 381054454 658184966 744788251 762108908 917994821 1316369932 1489576502 1524217816 1835989642 2632739864 2979153004 3048435632 3620017313 3671979284 5265479728 5958306008 7240034626 7343958568 8192670761 10097943031 11916612016 14150976769 14480069252 14687917136 16385341522 17441901599 20195886062 28301953538 28960138504 32770683044 34883803198 39473777303 40391772124 56603907076 57920277008 65541366088 69767606396 78947554606 80783544248 113207814152 131082732176 139535212792 155660744459 157895109212 161567088496 191860917589 226415628304 279070425584 311321488918 315790218424 383721835178 434211550333 622642977836 631580436848 750001768757 767443670356 868423100666 1245285955672 1500003537514 1534887340712 1736846201332 2490571911344 3000007075028 3069774681424 3473692402664 6000014150056 6947384805328 8250019456327 12000028300112 16500038912654 33000077825308 66000155650616 132000311301232