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133212113100 = 2232521113455769
BaseRepresentation
bin111110000010000001…
…1111000100011001100
3110201211210002111102200
41330010003320203030
54140304300104400
6141110301521500
712424056164403
oct1740403704314
9421753074380
10133212113100
1151549846260
1221998573290
13c73c4c4981
146639d2863a
1536e9d55b00
hex1f040f88cc

133212113100 has 108 divisors (see below), whose sum is σ = 455504726040. Its totient is φ = 32293843200.

The previous prime is 133212113087. The next prime is 133212113107. The reversal of 133212113100 is 1311212331.

133212113100 is a `hidden beast` number, since 1 + 332 + 1 + 21 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×1332121131002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (133212113107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6717985 + ... + 6737784.

Almost surely, 2133212113100 is an apocalyptic number.

133212113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133212113100 is an abundant number, since it is smaller than the sum of its proper divisors (322292612940).

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

133212113100 is a wasteful number, since it uses less digits than its factorization.

133212113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13455800 (or 13455790 counting only the distinct ones).

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

Adding to 133212113100 its reverse (1311212331), we get a palindrome (134523325431).

The spelling of 133212113100 in words is "one hundred thirty-three billion, two hundred twelve million, one hundred thirteen 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 13455769 26911538 40367307 53823076 67278845 80734614 121101921 134557690 148013459 161469228 201836535 242203842 269115380 296026918 336394225 403673070 444040377 484407684 592053836 605509605 672788450 740067295 807346140 888080754 1009182675 1211019210 1332121131 1345576900 1480134590 1776161508 2018365350 2220201885 2422038420 2664242262 2960269180 3027548025 3700336475 4036730700 4440403770 5328484524 6055096050 6660605655 7400672950 8880807540 11101009425 12110192100 13321211310 14801345900 22202018850 26642422620 33303028275 44404037700 66606056550 133212113100