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112132013010 = 23531130792251
BaseRepresentation
bin110100001101110010…
…1101011101111010010
3101201102200011110101220
41220123211223233102
53314121243404020
6123302430105510
711046510245553
oct1503345535722
9351380143356
10112132013010
1143611664036
121989494b296
13a760116074
1455da40432a
152db4385240
hex1a1b96bbd2

112132013010 has 64 divisors (see below), whose sum is σ = 278013579264. Its totient is φ = 28914840000.

The previous prime is 112132012991. The next prime is 112132013069. The reversal of 112132013010 is 10310231211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169385 + ... + 1261635.

It is an arithmetic number, because the mean of its divisors is an integer number (4343962176).

Almost surely, 2112132013010 is an apocalyptic number.

112132013010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112132013010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139006789632).

112132013010 is an abundant number, since it is smaller than the sum of its proper divisors (165881566254).

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

112132013010 is a wasteful number, since it uses less digits than its factorization.

112132013010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93599.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112132013010 its reverse (10310231211), we get a palindrome (122442244221).

The spelling of 112132013010 in words is "one hundred twelve billion, one hundred thirty-two million, thirteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1307 2614 3921 6535 7842 13070 19605 39210 40517 81034 92251 121551 184502 202585 243102 276753 405170 461255 553506 607755 922510 1215510 1383765 2767530 2859781 5719562 8579343 14298905 17158686 28597810 42896715 85793430 120572057 241144114 361716171 602860285 723432342 1205720570 1808580855 3617161710 3737733767 7475467534 11213201301 18688668835 22426402602 37377337670 56066006505 112132013010