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331032201324 = 223113792972959
BaseRepresentation
bin1001101000100110000…
…11101000100001101100
31011122110012111012010220
410310103003220201230
520410423220420244
6412024000531340
732626200166446
oct4642303504154
91148405435126
10331032201324
11118432058480
12541a6020b50
13252a6cc6b06
14120446bb496
158926c2a319
hex4d130e886c

331032201324 has 96 divisors (see below), whose sum is σ = 866344550400. Its totient is φ = 97495234560.

The previous prime is 331032201263. The next prime is 331032201373. The reversal of 331032201324 is 423102230133.

It is a junction number, because it is equal to n+sod(n) for n = 331032201294 and 331032201303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4500757 + ... + 4573715.

It is an arithmetic number, because the mean of its divisors is an integer number (9024422400).

Almost surely, 2331032201324 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 331032201324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433172275200).

331032201324 is an abundant number, since it is smaller than the sum of its proper divisors (535312349076).

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

331032201324 is a wasteful number, since it uses less digits than its factorization.

331032201324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73943 (or 73941 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 331032201324 its reverse (423102230133), we get a palindrome (754134431457).

The spelling of 331032201324 in words is "three hundred thirty-one billion, thirty-two million, two hundred one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 929 1221 1628 1858 2442 2787 3716 4884 5574 10219 11148 20438 30657 34373 40876 61314 68746 72959 103119 122628 137492 145918 206238 218877 291836 378103 412476 437754 756206 802549 875508 1134309 1512412 1605098 2268618 2407647 2699483 3210196 4537236 4815294 5398966 8098449 9630588 10797932 16196898 29694313 32393796 59388626 67778911 89082939 118777252 135557822 178165878 203336733 271115644 356331756 406673466 745568021 813346932 1491136042 2236704063 2507819707 2982272084 4473408126 5015639414 7523459121 8946816252 10031278828 15046918242 27586016777 30093836484 55172033554 82758050331 110344067108 165516100662 331032201324