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101130112311132 = 2232916371090916273
BaseRepresentation
bin10110111111101000110000…
…011010111001111101011100
3111021001221111102000012022010
4112333220300122321331130
5101223403432222424012
6555030310543351220
730205260313244322
oct2677506032717534
9437057442005263
10101130112311132
112a250048a41213
12b413839bb2510
1344576b464a5a8
141ad8a1b5dbd12
15ba595db81c3c
hex5bfa306b9f5c

101130112311132 has 96 divisors (see below), whose sum is σ = 244293687892800. Its totient is φ = 32522759442432.

The previous prime is 101130112311131. The next prime is 101130112311149. The reversal of 101130112311132 is 231113211031101.

It is a super-2 number, since 2×1011301123111322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101130112311099 and 101130112311108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101130112311131) 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, 6214587348 + ... + 6214603620.

It is an arithmetic number, because the mean of its divisors is an integer number (2544725915550).

Almost surely, 2101130112311132 is an apocalyptic number.

101130112311132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101130112311132 is an abundant number, since it is smaller than the sum of its proper divisors (143163575581668).

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

101130112311132 is a wasteful number, since it uses less digits than its factorization.

101130112311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28855 (or 28853 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 101130112311132 its reverse (231113211031101), we get a palindrome (332243323342233).

The spelling of 101130112311132 in words is "one hundred one trillion, one hundred thirty billion, one hundred twelve million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 1637 3274 4911 6548 9822 10909 16273 19644 21818 32546 32727 43636 47473 48819 65092 65454 94946 97638 130908 142419 189892 195276 284838 316361 471917 569676 632722 943834 949083 1265444 1415751 1887668 1898166 2831502 3796332 5663004 17858033 26638901 35716066 53277802 53574099 71432132 79916703 106555604 107148198 159833406 177522157 214296396 319666812 355044314 517882957 532566471 710088628 772528129 1035765914 1065132942 1545056258 1553648871 2071531828 2130265884 2317584387 3090112516 3107297742 4635168774 5148142553 6214595484 9270337548 10296285106 15444427659 20592570212 30888855318 61777710636 290603771009 581207542018 871811313027 1162415084036 1743622626054 3487245252108 8427509359261 16855018718522 25282528077783 33710037437044 50565056155566 101130112311132