Search a number
-
+
12101112312 = 233171910971423
BaseRepresentation
bin10110100010100100…
…00101000111111000
31011020100101012100220
423101102011013320
5144240341043222
65320440500040
7605606520552
oct132122050770
934210335326
1012101112312
11514a842873
12241877a620
1311ab0a76b3
1482b21c4d2
154ac594b5c
hex2d14851f8

12101112312 has 128 divisors (see below), whose sum is σ = 33772723200. Its totient is φ = 3590811648.

The previous prime is 12101112299. The next prime is 12101112313. The reversal of 12101112312 is 21321110121.

It is a junction number, because it is equal to n+sod(n) for n = 12101112291 and 12101112300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101112313) 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, 8503233 + ... + 8504655.

It is an arithmetic number, because the mean of its divisors is an integer number (263849400).

Almost surely, 212101112312 is an apocalyptic number.

12101112312 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 12101112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16886361600).

12101112312 is an abundant number, since it is smaller than the sum of its proper divisors (21671610888).

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

12101112312 is a wasteful number, since it uses less digits than its factorization.

12101112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12101112312 its reverse (21321110121), we get a palindrome (33422222433).

The spelling of 12101112312 in words is "twelve billion, one hundred one million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1097 1292 1423 1938 2194 2584 2846 3291 3876 4269 4388 5692 6582 7752 8538 8776 11384 13164 17076 18649 20843 24191 26328 27037 34152 37298 41686 48382 54074 55947 62529 72573 74596 81111 83372 96764 108148 111894 125058 145146 149192 162222 166744 193528 216296 223788 250116 290292 324444 354331 447576 459629 500232 580584 648888 708662 919258 1062993 1378887 1417324 1561031 1838516 2125986 2757774 2834648 3122062 3677032 4251972 4683093 5515548 6244124 8503944 9366186 11031096 12488248 18732372 26537527 29659589 37464744 53075054 59319178 79612581 88978767 106150108 118638356 159225162 177957534 212300216 237276712 318450324 355915068 504213013 636900648 711830136 1008426026 1512639039 2016852052 3025278078 4033704104 6050556156 12101112312