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331002130032 = 243271392362411
BaseRepresentation
bin1001101000100010100…
…00111010111001110000
31011122101002220102002100
410310101100322321300
520410343021130112
6412021004220400
732625353453160
oct4642120727160
91148332812070
10331002130032
11118417089472
1254197b3a700
13252a09c8552
14120406d05a0
15892428a2dc
hex4d1143ae70

331002130032 has 120 divisors (see below), whose sum is σ = 1066298280320. Its totient is φ = 93891623040.

The previous prime is 331002130031. The next prime is 331002130051. The reversal of 331002130032 is 230031200133.

331002130032 is a `hidden beast` number, since 3 + 310 + 0 + 21 + 300 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331002129987 and 331002130014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331002130031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041094 + ... + 1321317.

Almost surely, 2331002130032 is an apocalyptic number.

It is an amenable number.

331002130032 is an abundant number, since it is smaller than the sum of its proper divisors (735296150288).

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

331002130032 is a wasteful number, since it uses less digits than its factorization.

331002130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362571 (or 2362562 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 331002130032 its reverse (230031200133), we get a palindrome (561033330165).

The spelling of 331002130032 in words is "three hundred thirty-one billion, two million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 139 144 168 252 278 336 417 504 556 834 973 1008 1112 1251 1668 1946 2224 2502 2919 3336 3892 5004 5838 6672 7784 8757 10008 11676 15568 17514 20016 23352 35028 46704 70056 140112 2362411 4724822 7087233 9449644 14174466 16536877 18899288 21261699 28348932 33073754 37798576 42523398 49610631 56697864 66147508 85046796 99221262 113395728 132295016 148831893 170093592 198442524 264590032 297663786 328375129 340187184 396885048 595327572 656750258 793770096 985125387 1190655144 1313500516 1970250774 2298625903 2381310288 2627001032 2955376161 3940501548 4597251806 5254002064 5910752322 6895877709 7881003096 9194503612 11821504644 13791755418 15762006192 18389007224 20687633127 23643009288 27583510836 36778014448 41375266254 47286018576 55167021672 82750532508 110334043344 165501065016 331002130032