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331132111232 = 27131877106019
BaseRepresentation
bin1001101000110010000…
…00110000100110000000
31011122201011111010202212
410310121000300212000
520411124310024412
6412041530201252
732631522335126
oct4643100604600
91148634433685
10331132111232
1111848349824a
1254213583228
13252c19085c0
1412053a87916
1589308b3222
hex4d19030980

331132111232 has 64 divisors (see below), whose sum is σ = 710806849200. Its totient is φ = 152747341824.

The previous prime is 331132111223. The next prime is 331132111241. The reversal of 331132111232 is 232111231133.

It is an interprime number because it is at equal distance from previous prime (331132111223) and next prime (331132111241).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 331132111198 and 331132111207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3070319 + ... + 3176337.

Almost surely, 2331132111232 is an apocalyptic number.

331132111232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331132111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355403424600).

331132111232 is an abundant number, since it is smaller than the sum of its proper divisors (379674737968).

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

331132111232 is a wasteful number, since it uses less digits than its factorization.

331132111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107923 (or 107911 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

Adding to 331132111232 its reverse (232111231133), we get a palindrome (563243342365).

The spelling of 331132111232 in words is "three hundred thirty-one billion, one hundred thirty-two million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 1877 3754 7508 15016 24401 30032 48802 60064 97604 106019 120128 195208 212038 240256 390416 424076 780832 848152 1378247 1561664 1696304 2756494 3123328 3392608 5512988 6785216 11025976 13570432 22051952 44103904 88207808 176415616 198997663 397995326 795990652 1591981304 2586969619 3183962608 5173939238 6367925216 10347878476 12735850432 20695756952 25471700864 41391513904 82783027808 165566055616 331132111232