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133232132231310 = 23578920773343163
BaseRepresentation
bin11110010010110010000101…
…111010100001000010001110
3122110201212102101000201120110
4132102302011322201002032
5114430333401322400220
61151205555132500450
740030463303316330
oct3622620572410216
9573655371021513
10133232132231310
11394a7480321072
1212b3934361a726
135945975460978
1424c868085b450
151060a1816cbe0
hex792c85ea108e

133232132231310 has 128 divisors (see below), whose sum is σ = 369561602442240. Its totient is φ = 30109352334336.

The previous prime is 133232132231281. The next prime is 133232132231339. The reversal of 133232132231310 is 13132231232331.

It is an interprime number because it is at equal distance from previous prime (133232132231281) and next prime (133232132231339).

It is a super-2 number, since 2×1332321322313102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 388075789 + ... + 388418951.

It is an arithmetic number, because the mean of its divisors is an integer number (2887200019080).

Almost surely, 2133232132231310 is an apocalyptic number.

133232132231310 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 133232132231310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184780801221120).

133232132231310 is an abundant number, since it is smaller than the sum of its proper divisors (236329470210930).

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

133232132231310 is a wasteful number, since it uses less digits than its factorization.

133232132231310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364042.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 133232132231310 its reverse (13132231232331), we get a palindrome (146364363463641).

The spelling of 133232132231310 in words is "one hundred thirty-three trillion, two hundred thirty-two billion, one hundred thirty-two million, two hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 89 105 178 210 267 445 534 623 890 1246 1335 1869 2670 3115 3738 6230 9345 18690 20773 41546 62319 103865 124638 145411 207730 290822 311595 343163 436233 623190 686326 727055 872466 1029489 1454110 1715815 1848797 2058978 2181165 2402141 3431630 3697594 4362330 4804282 5147445 5546391 7206423 9243985 10294890 11092782 12010705 12941579 14412846 18487970 24021410 25883158 27731955 30541507 36032115 38824737 55463910 61083014 64707895 72064230 77649474 91624521 129415790 152707535 183249042 194123685 213790549 305415070 388247370 427581098 458122605 641371647 916245210 1068952745 1282743294 2137905490 3206858235 6413716470 7128524999 14257049998 21385574997 35642624995 42771149994 49899674993 71285249990 99799349986 106927874985 149699024979 213855749970 249498374965 299398049958 498996749930 634438724911 748495124895 1268877449822 1496990249790 1903316174733 3172193624555 3806632349466 4441071074377 6344387249110 8882142148754 9516580873665 13323213223131 19033161747330 22205355371885 26646426446262 44410710743770 66616066115655 133232132231310