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10033213032 = 2332139350181
BaseRepresentation
bin10010101100000011…
…01010111001101000
3221220020021000211200
421112001222321220
5131022000304112
64335330324200
7503426621643
oct112601527150
927806230750
1010033213032
11428953a4a7
121b40129660
13c3b848a5b
146b272aa5a
153dac6dcdc
hex25606ae68

10033213032 has 24 divisors (see below), whose sum is σ = 27173285490. Its totient is φ = 3344404320.

The previous prime is 10033213031. The next prime is 10033213039. The reversal of 10033213032 is 23031233001.

It can be written as a sum of positive squares in only one way, i.e., 6886676196 + 3146536836 = 82986^2 + 56094^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 10033212996 and 10033213014.

It is not an unprimeable number, because it can be changed into a prime (10033213031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69675019 + ... + 69675162.

Almost surely, 210033213032 is an apocalyptic number.

10033213032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10033213032 is an abundant number, since it is smaller than the sum of its proper divisors (17140072458).

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

10033213032 is a wasteful number, since it uses less digits than its factorization.

10033213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139350193 (or 139350186 counting only the distinct ones).

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

Adding to 10033213032 its reverse (23031233001), we get a palindrome (33064446033).

The spelling of 10033213032 in words is "ten billion, thirty-three million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139350181 278700362 418050543 557400724 836101086 1114801448 1254151629 1672202172 2508303258 3344404344 5016606516 10033213032