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10021331012 = 22711235923977
BaseRepresentation
bin10010101010101000…
…10110000001000100
3221212101220100202212
421111110112001010
5131010430043022
64334223522552
7503223623330
oct112524260104
927771810685
1010021331012
114282864350
121b38159458
13c39248684
146b0d167c0
153d9bc33e2
hex255516044

10021331012 has 96 divisors (see below), whose sum is σ = 23203031040. Its totient is φ = 3671205120.

The previous prime is 10021330933. The next prime is 10021331017. The reversal of 10021331012 is 21013312001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10021331017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405968 + ... + 429944.

It is an arithmetic number, because the mean of its divisors is an integer number (241698240).

Almost surely, 210021331012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11601515520).

10021331012 is an abundant number, since it is smaller than the sum of its proper divisors (13181700028).

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

10021331012 is a wasteful number, since it uses less digits than its factorization.

10021331012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24081 (or 24079 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10021331012 its reverse (21013312001), we get a palindrome (31034643013).

The spelling of 10021331012 in words is "ten billion, twenty-one million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 59 77 92 118 154 161 236 253 308 322 413 506 644 649 826 1012 1298 1357 1652 1771 2596 2714 3542 4543 5428 7084 9086 9499 14927 18172 18998 23977 29854 37996 47954 59708 95908 104489 167839 208978 263747 335678 417956 527494 551471 671356 1054988 1102942 1414643 1846229 2205884 2829286 3692458 3860297 5658572 6066181 7384916 7720594 9902501 12132362 15441188 15561073 19805002 24264724 31122146 32536789 39610004 42463267 62244292 65073578 84926534 108927511 130147156 169853068 217855022 227757523 357904679 435710044 455515046 715809358 911030092 1431618716 2505332753 5010665506 10021331012