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331012323424 = 2547221122193
BaseRepresentation
bin1001101000100011101…
…11110011100001100000
31011122101211002021210101
410310101313303201200
520410403123322144
6412022010512144
732625536216416
oct4642167634140
91148354067711
10331012323424
11118421910962
125419b435654
13252a2b57143
1412041bc52b6
1589251006d4
hex4d11df3860

331012323424 has 72 divisors (see below), whose sum is σ = 669026855448. Its totient is φ = 161209789440.

The previous prime is 331012323353. The next prime is 331012323451. The reversal of 331012323424 is 424323210133.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 331012323392 and 331012323401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14904072 + ... + 14926264.

It is an arithmetic number, because the mean of its divisors is an integer number (9292039659).

Almost surely, 2331012323424 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 331012323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334513427724).

331012323424 is an abundant number, since it is smaller than the sum of its proper divisors (338014532024).

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

331012323424 is a wasteful number, since it uses less digits than its factorization.

331012323424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22508 (or 22453 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 331012323424 its reverse (424323210133), we get a palindrome (755335533557).

The spelling of 331012323424 in words is "three hundred thirty-one billion, twelve million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 94 188 211 376 422 752 844 1504 1688 2209 3376 4418 6752 8836 9917 17672 19834 22193 35344 39668 44386 70688 79336 88772 158672 177544 317344 355088 466099 710176 932198 1043071 1864396 2086142 3728792 4172284 4682723 7457584 8344568 9365446 14915168 16689136 18730892 33378272 37461784 49024337 74923568 98048674 149847136 196097348 220087981 392194696 440175962 784389392 880351924 1568778784 1760703848 3521407696 7042815392 10344135107 20688270214 41376540428 82753080856 165506161712 331012323424