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413322102312 = 233713118780539
BaseRepresentation
bin1100000001110111110…
…10101100011000101000
31110111212010110021202120
412000323322230120220
523232440424233222
6513513315031240
741601335621310
oct6007372543050
91414763407676
10413322102312
1114a31a608009
126813089b520
132cc8c679112
141600d616440
15ab4127315c
hex603beac628

413322102312 has 64 divisors (see below), whose sum is σ = 1189935014400. Its totient is φ = 117190557120.

The previous prime is 413322102269. The next prime is 413322102341. The reversal of 413322102312 is 213201223314.

It is a super-2 number, since 2×4133221023122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9368262 + ... + 9412277.

It is an arithmetic number, because the mean of its divisors is an integer number (18592734600).

Almost surely, 2413322102312 is an apocalyptic number.

413322102312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

413322102312 is an abundant number, since it is smaller than the sum of its proper divisors (776612912088).

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

413322102312 is a wasteful number, since it uses less digits than its factorization.

413322102312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18780686 (or 18780682 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 413322102312 its reverse (213201223314), we get a palindrome (626523325626).

The spelling of 413322102312 in words is "four hundred thirteen billion, three hundred twenty-two million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 1048 1572 1834 2751 3144 3668 5502 7336 11004 22008 18780539 37561078 56341617 75122156 112683234 131463773 150244312 225366468 262927546 394391319 450732936 525855092 788782638 1051710184 1577565276 2460250609 3155130552 4920501218 7380751827 9841002436 14761503654 17221754263 19682004872 29523007308 34443508526 51665262789 59046014616 68887017052 103330525578 137774034104 206661051156 413322102312