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310400020032 = 2633152150541
BaseRepresentation
bin1001000010001010100…
…10000110111001000000
31002200012022101210012020
410201011102012321000
520041144401120112
6354332405401440
731266000431424
oct4410522067100
91080168353166
10310400020032
1110a7047a0283
12501a8409280
132336966680b
1411048472b84
15811a73648c
hex4845486e40

310400020032 has 56 divisors (see below), whose sum is σ = 847759210752. Its totient is φ = 100129036800.

The previous prime is 310400020027. The next prime is 310400020067. The reversal of 310400020032 is 230020004013.

It is a junction number, because it is equal to n+sod(n) for n = 310400019993 and 310400020020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26069319 + ... + 26081222.

Almost surely, 2310400020032 is an apocalyptic number.

310400020032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

310400020032 is an abundant number, since it is smaller than the sum of its proper divisors (537359190720).

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

310400020032 is a wasteful number, since it uses less digits than its factorization.

310400020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52150587 (or 52150577 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 310400020032 its reverse (230020004013), we get a palindrome (540420024045).

The spelling of 310400020032 in words is "three hundred ten billion, four hundred million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 52150541 104301082 156451623 208602164 312903246 417204328 625806492 834408656 1251612984 1616666771 1668817312 2503225968 3233333542 3337634624 4850000313 5006451936 6466667084 9700000626 10012903872 12933334168 19400001252 25866668336 38800002504 51733336672 77600005008 103466673344 155200010016 310400020032