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12310202133132 = 22319671312161417
BaseRepresentation
bin1011001100100011000100…
…1110011010101010001100
31121120211210011010012012020
42303020301032122222030
53103142243221230012
642103121230210140
72410245166440261
oct263106116325214
947524704105166
1012310202133132
113a168001a5792
121469971953950
136b3b0205bb57
14307b61a5d268
1516533b0b8a8c
hexb323139aa8c

12310202133132 has 96 divisors (see below), whose sum is σ = 30689700007680. Its totient is φ = 3829056675840.

The previous prime is 12310202133107. The next prime is 12310202133139. The reversal of 12310202133132 is 23133120201321.

It is not an unprimeable number, because it can be changed into a prime (12310202133139) 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, 200405688 + ... + 200467104.

It is an arithmetic number, because the mean of its divisors is an integer number (319684375080).

Almost surely, 212310202133132 is an apocalyptic number.

12310202133132 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 12310202133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344850003840).

12310202133132 is an abundant number, since it is smaller than the sum of its proper divisors (18379497874548).

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

12310202133132 is a wasteful number, since it uses less digits than its factorization.

12310202133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74631 (or 74629 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12310202133132 its reverse (23133120201321), we get a palindrome (35443322334453).

The spelling of 12310202133132 in words is "twelve trillion, three hundred ten billion, two hundred two million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 201 228 268 402 804 1273 2546 3819 5092 7638 13121 15276 26242 39363 52484 61417 78726 122834 157452 184251 245668 249299 368502 498598 737004 747897 879107 997196 1166923 1495794 1758214 2333846 2637321 2991588 3500769 3516428 4114939 4667692 5274642 7001538 8229878 10549284 12344817 14003076 16459756 16703033 24689634 33406066 49379268 50109099 66812132 78183841 100218198 156367682 200436396 234551523 312735364 469103046 805852457 938206092 1611704914 2417557371 3223409828 4835114742 9670229484 15311196683 30622393366 45933590049 53992114619 61244786732 91867180098 107984229238 161976343857 183734360196 215968458476 323952687714 647905375428 1025850177761 2051700355522 3077550533283 4103400711044 6155101066566 12310202133132