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1132102122120 = 2332526771174721
BaseRepresentation
bin10000011110010110100…
…010110111101010001000
311000020011010212112112200
4100132112202313222020
5122022021120401440
62224025221240200
7144535355156214
oct20362642675210
94006133775480
101132102122120
113a7138152532
121634aa863060
13829ab8220c8
143cb18b91944
151e6ade10c30
hex107968b7a88

1132102122120 has 96 divisors (see below), whose sum is σ = 3680709453720. Its totient is φ = 301780869120.

The previous prime is 1132102122091. The next prime is 1132102122167. The reversal of 1132102122120 is 212212012311.

1132102122120 is a `hidden beast` number, since 11 + 321 + 0 + 212 + 2 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 326125513476 + 805976608644 = 571074^2 + 897762^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1132102122093 and 1132102122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376360 + ... + 1551080.

Almost surely, 21132102122120 is an apocalyptic number.

1132102122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132102122120 is an abundant number, since it is smaller than the sum of its proper divisors (2548607331600).

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

1132102122120 is a wasteful number, since it uses less digits than its factorization.

1132102122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177415 (or 1177408 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1132102122120 its reverse (212212012311), we get a palindrome (1344314134431).

The spelling of 1132102122120 in words is "one trillion, one hundred thirty-two billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2677 5354 8031 10708 13385 16062 21416 24093 26770 32124 40155 48186 53540 64248 80310 96372 107080 120465 160620 192744 240930 321240 481860 963720 1174721 2349442 3524163 4698884 5873605 7048326 9397768 10572489 11747210 14096652 17620815 21144978 23494420 28193304 35241630 42289956 46988840 52862445 70483260 84579912 105724890 140966520 211449780 422899560 3144728117 6289456234 9434184351 12578912468 15723640585 18868368702 25157824936 28302553053 31447281170 37736737404 47170921755 56605106106 62894562340 75473474808 94341843510 113210212212 125789124680 141512765265 188683687020 226420424424 283025530530 377367374040 566051061060 1132102122120