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23132444022100 = 22527172114347227
BaseRepresentation
bin1010100001001111100010…
…00110111101010101010100
310000220102212210112012202201
411100213301012331111110
511013000221132201400
6121110521552414244
74605156345626140
oct520476106752524
9100812783465681
1023132444022100
117409461652916
122717280847384
13cba4c314858a
1459d88b05c220
152a1adbcad06a
hex1509f11bd554

23132444022100 has 108 divisors (see below), whose sum is σ = 60941583857056. Its totient is φ = 7464586913280.

The previous prime is 23132444022091. The next prime is 23132444022101. The reversal of 23132444022100 is 122044423132.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132444022101) 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, 56971314 + ... + 57375913.

Almost surely, 223132444022100 is an apocalyptic number.

23132444022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23132444022100 is an abundant number, since it is smaller than the sum of its proper divisors (37809139834956).

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

23132444022100 is a wasteful number, since it uses less digits than its factorization.

23132444022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114347282 (or 114347258 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 23132444022100 its reverse (122044423132), we get a palindrome (23254488445232).

The spelling of 23132444022100 in words is "twenty-three trillion, one hundred thirty-two billion, four hundred forty-four million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 289 340 350 425 476 578 595 700 850 1156 1190 1445 1700 2023 2380 2890 2975 4046 5780 5950 7225 8092 10115 11900 14450 20230 28900 40460 50575 101150 202300 114347227 228694454 457388908 571736135 800430589 1143472270 1600861178 1943902859 2286944540 2858680675 3201722356 3887805718 4002152945 5717361350 7775611436 8004305890 9719514295 11434722700 13607320013 16008611780 19439028590 20010764725 27214640026 33046348603 38878057180 40021529450 48597571475 54429280052 66092697206 68036600065 80043058900 97195142950 132185394412 136073200130 165231743015 194390285900 231324440221 272146400260 330463486030 340183000325 462648880442 660926972060 680366000650 826158715075 925297760884 1156622201105 1360732001300 1652317430150 2313244402210 3304634860300 4626488804420 5783111005525 11566222011050 23132444022100