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133132112022 = 237213107325543
BaseRepresentation
bin111101111111101001…
…0101101000010010110
3110201122012120000120210
41323333102231002112
54140123310041042
6141054323110250
712422065165200
oct1737722550226
9421565500523
10133132112022
1151508674268
1221975812386
13c728a63c60
14662d461770
1536e2d01a9c
hex1eff4ad096

133132112022 has 96 divisors (see below), whose sum is σ = 336680209152. Its totient is φ = 34783511616.

The previous prime is 133132111897. The next prime is 133132112027. The reversal of 133132112022 is 220211231331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 133132112022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133132112027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246183 + ... + 571725.

It is an arithmetic number, because the mean of its divisors is an integer number (3507085512).

Almost surely, 2133132112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133132112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168340104576).

133132112022 is an abundant number, since it is smaller than the sum of its proper divisors (203548097130).

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

133132112022 is a wasteful number, since it uses less digits than its factorization.

133132112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325682 (or 325675 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 133132112022 its reverse (220211231331), we get a palindrome (353343343353).

The spelling of 133132112022 in words is "one hundred thirty-three billion, one hundred thirty-two million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 107 147 182 214 273 294 321 546 637 642 749 1274 1391 1498 1911 2247 2782 3822 4173 4494 5243 8346 9737 10486 15729 19474 29211 31458 58422 68159 136318 204477 325543 408954 651086 976629 1953258 2278801 4232059 4557602 6836403 8464118 12696177 13672806 15951607 25392354 29624413 31903214 34833101 47854821 59248826 69666202 88873239 95709642 104499303 177746478 207370891 208998606 243831707 414741782 452830313 487663414 622112673 731495121 905660626 1244225346 1358490939 1462990242 1706821949 2716981878 3169812191 3413643898 5120465847 6339624382 9509436573 10240931694 19018873146 22188685337 44377370674 66566056011 133132112022