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10031220324 = 2232535257453
BaseRepresentation
bin10010101011110100…
…00100011001100100
3221220002111210100200
421111322010121210
5131020443022244
64335215510500
7503403652206
oct112572043144
927802453320
1010031220324
1142883a9334
121b3b528430
13c3b2cba38
146b236c776
153da9c8669
hex255e84664

10031220324 has 36 divisors (see below), whose sum is σ = 25835128956. Its totient is φ = 3280650048.

The previous prime is 10031220319. The next prime is 10031220341. The reversal of 10031220324 is 42302213001.

10031220324 is a `hidden beast` number, since 10 + 0 + 312 + 20 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4279514724 + 5751705600 = 65418^2 + 75840^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 10031220297 and 10031220306.

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, 2626819 + ... + 2630634.

It is an arithmetic number, because the mean of its divisors is an integer number (717642471).

Almost surely, 210031220324 is an apocalyptic number.

It is an amenable number.

10031220324 is an abundant number, since it is smaller than the sum of its proper divisors (15803908632).

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

10031220324 is a wasteful number, since it uses less digits than its factorization.

10031220324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257516 (or 5257511 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10031220324 its reverse (42302213001), we get a palindrome (52333433325).

The spelling of 10031220324 in words is "ten billion, thirty-one million, two hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 5257453 10514906 15772359 21029812 31544718 47317077 63089436 94634154 189268308 278645009 557290018 835935027 1114580036 1671870054 2507805081 3343740108 5015610162 10031220324