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133120022100 = 223521334133339
BaseRepresentation
bin111101111111010010…
…0100101011001010100
3110201121100210210022220
41323332210211121110
54140112211201400
6141053212022340
712421560342462
oct1737644453124
9421540723286
10133120022100
115150186699a
12219717619b0
13c7263c0060
14662b9d5832
1536e1c147a0
hex1efe925654

133120022100 has 72 divisors (see below), whose sum is σ = 414788347680. Its totient is φ = 32768004480.

The previous prime is 133120022059. The next prime is 133120022137. The reversal of 133120022100 is 1220021331.

133120022100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133120022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17062770 + ... + 17070569.

Almost surely, 2133120022100 is an apocalyptic number.

133120022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133120022100 is an abundant number, since it is smaller than the sum of its proper divisors (281668325580).

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

133120022100 is a wasteful number, since it uses less digits than its factorization.

133120022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34133369 (or 34133362 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 133120022100 its reverse (1220021331), we get a palindrome (134340043431).

The spelling of 133120022100 in words is "one hundred thirty-three billion, one hundred twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 34133339 68266678 102400017 136533356 170666695 204800034 341333390 409600068 443733407 512000085 682666780 853333475 887466814 1024000170 1331200221 1706666950 1774933628 2048000340 2218667035 2560000425 2662400442 3413333900 4437334070 5120000850 5324800884 6656001105 8874668140 10240001700 11093335175 13312002210 22186670350 26624004420 33280005525 44373340700 66560011050 133120022100