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10230015312 = 2433112837607
BaseRepresentation
bin10011000011100000…
…11010010101010000
3222101221120121211000
421201300122111100
5131422340442222
64411040422000
7511336460346
oct114160322520
928357517730
1010230015312
11437a638a10
121b96017900
13c705536ca
146d0919996
153ed1959ac
hex261c1a550

10230015312 has 160 divisors (see below), whose sum is σ = 32150799360. Its totient is φ = 3088644480.

The previous prime is 10230015277. The next prime is 10230015331. The reversal of 10230015312 is 21351003201.

10230015312 is a `hidden beast` number, since 102 + 30 + 0 + 1 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1341013 + ... + 1348619.

It is an arithmetic number, because the mean of its divisors is an integer number (200942496).

Almost surely, 210230015312 is an apocalyptic number.

10230015312 is a gapful number since it is divisible by the number (12) 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 10230015312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075399680).

10230015312 is an abundant number, since it is smaller than the sum of its proper divisors (21920784048).

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

10230015312 is a wasteful number, since it uses less digits than its factorization.

10230015312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7918 (or 7906 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10230015312 its reverse (21351003201), we get a palindrome (31581018513).

The spelling of 10230015312 in words is "ten billion, two hundred thirty million, fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 283 297 396 432 528 566 594 792 849 1132 1188 1584 1698 2264 2376 2547 3113 3396 4528 4752 5094 6226 6792 7607 7641 9339 10188 12452 13584 15214 15282 18678 20376 22821 24904 28017 30428 30564 37356 40752 45642 49808 56034 60856 61128 68463 74712 83677 84051 91284 112068 121712 122256 136926 149424 167354 168102 182568 205389 224136 251031 273852 334708 336204 365136 410778 448272 502062 547704 669416 672408 753093 821556 1004124 1095408 1338832 1344816 1506186 1643112 2008248 2152781 2259279 3012372 3286224 4016496 4305562 4518558 6024744 6458343 8611124 9037116 12049488 12916686 17222248 18074232 19375029 23680591 25833372 34444496 36148464 38750058 47361182 51666744 58125087 71041773 77500116 94722364 103333488 116250174 142083546 155000232 189444728 213125319 232500348 284167092 310000464 378889456 426250638 465000696 568334184 639375957 852501276 930001392 1136668368 1278751914 1705002552 2557503828 3410005104 5115007656 10230015312