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110130010032 = 24374334921841
BaseRepresentation
bin110011010010001000…
…0101001011110110000
3101112021011001011121110
41212210100221132300
53301021240310112
6122332032153320
710646060432310
oct1464420513660
9345234034543
10110130010032
1142784579619
1219416398840
13a50141a113
14548a587440
152ce872913c
hex19a44297b0

110130010032 has 160 divisors (see below), whose sum is σ = 333675865600. Its totient is φ = 30644490240.

The previous prime is 110130010007. The next prime is 110130010033. The reversal of 110130010032 is 230010031011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110130010033) 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, 5031432 + ... + 5053272.

It is an arithmetic number, because the mean of its divisors is an integer number (2085474160).

Almost surely, 2110130010032 is an apocalyptic number.

110130010032 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 110130010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166837932800).

110130010032 is an abundant number, since it is smaller than the sum of its proper divisors (223545855568).

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

110130010032 is a wasteful number, since it uses less digits than its factorization.

110130010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22251 (or 22245 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 110130010032 its reverse (230010031011), we get a palindrome (340140041043).

The spelling of 110130010032 in words is "one hundred ten billion, one hundred thirty million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 349 516 602 688 698 903 1032 1047 1204 1396 1806 2064 2094 2408 2443 2792 3612 4188 4816 4886 5584 7224 7329 8376 9772 14448 14658 15007 16752 19544 21841 29316 30014 39088 43682 45021 58632 60028 65523 87364 90042 105049 117264 120056 131046 152887 174728 180084 210098 240112 262092 305774 315147 349456 360168 420196 458661 524184 611548 630294 720336 840392 917322 939163 1048368 1223096 1260588 1680784 1834644 1878326 2446192 2521176 2817489 3669288 3756652 5042352 5634978 6574141 7338576 7513304 7622509 11269956 13148282 15026608 15245018 19722423 22539912 22867527 26296564 30490036 39444846 45079824 45735054 52593128 53357563 60980072 78889692 91470108 105186256 106715126 121960144 157779384 160072689 182940216 213430252 315558768 320145378 327767887 365880432 426860504 640290756 655535774 853721008 983303661 1280581512 1311071548 1966607322 2294375209 2561163024 2622143096 3933214644 4588750418 5244286192 6883125627 7866429288 9177500836 13766251254 15732858576 18355001672 27532502508 36710003344 55065005016 110130010032