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132100323021330 = 235191272297968743
BaseRepresentation
bin11110000010010100000000…
…110101000001001000010010
3122022201200000122022122221120
4132002110000311001020102
5114303312430143140310
61144542014533303110
736552635102626266
oct3602240065011022
9568650018278846
10132100323021330
1139100483551894
1212995b16a94a96
135893012527471
1424899929560a6
151041374d1ab70
hex782500d41212

132100323021330 has 128 divisors (see below), whose sum is σ = 337823745638400. Its totient is φ = 32965346905344.

The previous prime is 132100323021307. The next prime is 132100323021341. The reversal of 132100323021330 is 33120323001231.

It is a self number, because there is not a number n which added to its sum of digits gives 132100323021330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12592939 + ... + 20561681.

It is an arithmetic number, because the mean of its divisors is an integer number (2639248012800).

Almost surely, 2132100323021330 is an apocalyptic number.

132100323021330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132100323021330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168911872819200).

132100323021330 is an abundant number, since it is smaller than the sum of its proper divisors (205723422617070).

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

132100323021330 is a wasteful number, since it uses less digits than its factorization.

132100323021330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969128.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132100323021330 its reverse (33120323001231), we get a palindrome (165220646022561).

The spelling of 132100323021330 in words is "one hundred thirty-two trillion, one hundred billion, three hundred twenty-three million, twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 127 190 229 254 285 381 458 570 635 687 762 1145 1270 1374 1905 2290 2413 3435 3810 4351 4826 6870 7239 8702 12065 13053 14478 21755 24130 26106 29083 36195 43510 58166 65265 72390 87249 130530 145415 174498 290830 436245 552577 872490 1105154 1657731 2762885 3315462 5525770 7968743 8288655 15937486 16577310 23906229 39843715 47812458 79687430 119531145 151406117 239062290 302812234 454218351 757030585 908436702 1012030361 1514061170 1824842147 2024060722 2271091755 3036091083 3649684294 4542183510 5060151805 5474526441 6072182166 9124210735 10120303610 10949052882 15180455415 18248421470 19228576859 27372632205 30360910830 34672000793 38457153718 54745264410 57685730577 69344001586 96142884295 104016002379 115371461154 173360003965 192285768590 208032004758 231754952669 288428652885 346720007930 463509905338 520080011895 576857305770 695264858007 1040160023790 1158774763345 1390529716014 2317549526690 3476324290035 4403344100711 6952648580070 8806688201422 13210032302133 22016720503555 26420064604266 44033441007110 66050161510665 132100323021330