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10042245312 = 263114754851
BaseRepresentation
bin10010101101001000…
…01000000011000000
3221220212020220210120
421112210020003000
5131031303322222
64340252100240
7503566451061
oct112644100300
927825226716
1010042245312
1142936495a0
121b43164680
13c4068bcb8
146b39dc568
153db95515c
hex2569080c0

10042245312 has 56 divisors (see below), whose sum is σ = 28985577792. Its totient is φ = 3043104000.

The previous prime is 10042245293. The next prime is 10042245329. The reversal of 10042245312 is 21354224001.

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 7 ways as a sum of consecutive naturals, for example, 2375314 + ... + 2379537.

Almost surely, 210042245312 is an apocalyptic number.

10042245312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10042245312 is an abundant number, since it is smaller than the sum of its proper divisors (18943332480).

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

10042245312 is a wasteful number, since it uses less digits than its factorization.

10042245312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754877 (or 4754867 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10042245312 its reverse (21354224001), we get a palindrome (31396469313).

The spelling of 10042245312 in words is "ten billion, forty-two million, two hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 4754851 9509702 14264553 19019404 28529106 38038808 52303361 57058212 76077616 104606722 114116424 152155232 156910083 209213444 228232848 304310464 313820166 418426888 456465696 627640332 836853776 912931392 1255280664 1673707552 2510561328 3347415104 5021122656 10042245312