Search a number
-
+
12312010002132 = 22321931580645633
BaseRepresentation
bin1011001100101001110011…
…1110111000111011010100
31121121000110010221110020100
42303022130332320323110
53103204444030032012
642104020451134100
72410341041200341
oct263123476707324
947530403843210
1012312010002132
113a175487444a5
12146a1972a4330
136b402c775819
14307c93bc37c8
151653e4b788dc
hexb329cfb8ed4

12312010002132 has 72 divisors (see below), whose sum is σ = 33816801724160. Its totient is φ = 3762583695360.

The previous prime is 12312010002107. The next prime is 12312010002137. The reversal of 12312010002132 is 23120001021321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312010002137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290301613 + ... + 290344020.

Almost surely, 212312010002132 is an apocalyptic number.

12312010002132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12312010002132 is an abundant number, since it is smaller than the sum of its proper divisors (21504791722028).

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

12312010002132 is a wasteful number, since it uses less digits than its factorization.

12312010002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580645693 (or 580645688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12312010002132 its reverse (23120001021321), we get a palindrome (35432011023453).

The spelling of 12312010002132 in words is "twelve trillion, three hundred twelve billion, ten million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 589 684 1116 1178 1767 2356 3534 5301 7068 10602 21204 580645633 1161291266 1741936899 2322582532 3483873798 5225810697 6967747596 10451621394 11032267027 18000014623 20903242788 22064534054 33096801081 36000029246 44129068108 54000043869 66193602162 72000058492 99290403243 108000087738 132387204324 162000131607 198580806486 216000175476 324000263214 342000277837 397161612972 648000526428 684000555674 1026000833511 1368001111348 2052001667022 3078002500533 4104003334044 6156005001066 12312010002132