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132133112100 = 2232521113346779
BaseRepresentation
bin111101100001110111…
…1110100100100100100
3110122001120202120022200
41323003233310210210
54131102034041400
6140411235054500
712355244631033
oct1730357644444
9418046676280
10132133112100
11510457738a0
1221737141430
13c5c9ab7042
1465768d471a
15368526bb00
hex1ec3bf4924

132133112100 has 108 divisors (see below), whose sum is σ = 451815196560. Its totient is φ = 32032267200.

The previous prime is 132133112087. The next prime is 132133112113. The reversal of 132133112100 is 1211331231.

132133112100 is a `hidden beast` number, since 1 + 321 + 331 + 1 + 2 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132133112087) and next prime (132133112113).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6663490 + ... + 6683289.

Almost surely, 2132133112100 is an apocalyptic number.

132133112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132133112100 is an abundant number, since it is smaller than the sum of its proper divisors (319682084460).

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

132133112100 is a wasteful number, since it uses less digits than its factorization.

132133112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13346810 (or 13346800 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132133112100 its reverse (1211331231), we get a palindrome (133344443331).

The spelling of 132133112100 in words is "one hundred thirty-two billion, one hundred thirty-three million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 13346779 26693558 40040337 53387116 66733895 80080674 120121011 133467790 146814569 160161348 200201685 240242022 266935580 293629138 333669475 400403370 440443707 480484044 587258276 600605055 667338950 734072845 800806740 880887414 1001008425 1201210110 1321331121 1334677900 1468145690 1761774828 2002016850 2202218535 2402420220 2642662242 2936291380 3003025275 3670364225 4004033700 4404437070 5285324484 6006050550 6606655605 7340728450 8808874140 11011092675 12012101100 13213311210 14681456900 22022185350 26426622420 33033278025 44044370700 66066556050 132133112100