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10021312120 = 2351973317989
BaseRepresentation
bin10010101010101000…
…10001011001111000
3221212101212101212011
421111110101121320
5131010423441440
64334223255304
7503223514261
oct112524213170
927771771764
1010021312120
114282851136
121b3814a534
13c3923cbb1
146b0d0d968
153d9bbc9ea
hex255511678

10021312120 has 64 divisors (see below), whose sum is σ = 23768388000. Its totient is φ = 3792158208.

The previous prime is 10021312109. The next prime is 10021312193. The reversal of 10021312120 is 2121312001.

It is a self number, because there is not a number n which added to its sum of digits gives 10021312120.

It is a congruent number.

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, 548086 + ... + 566074.

Almost surely, 210021312120 is an apocalyptic number.

10021312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11884194000).

10021312120 is an abundant number, since it is smaller than the sum of its proper divisors (13747075880).

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

10021312120 is a wasteful number, since it uses less digits than its factorization.

10021312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18752 (or 18748 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10021312120 its reverse (2121312001), we get a palindrome (12142624121).

The spelling of 10021312120 in words is "ten billion, twenty-one million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 733 760 1466 2932 3665 5864 7330 13927 14660 17989 27854 29320 35978 55708 69635 71956 89945 111416 139270 143912 179890 278540 341791 359780 557080 683582 719560 1367164 1708955 2734328 3417910 6835820 13185937 13671640 26371874 52743748 65929685 105487496 131859370 250532803 263718740 501065606 527437480 1002131212 1252664015 2004262424 2505328030 5010656060 10021312120