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131021232102200 = 235211126194719479
BaseRepresentation
bin11101110010100111000001…
…111111110101101100111000
3122011220111200221101020222102
4131302213001333311230320
5114133122440404232300
61142354153442042532
736411654162305216
oct3562470177655470
9564814627336872
10131021232102200
1138824879894820
1212840961649448
13581533157c8bb
14244d6663b5cb6
151023269d080d5
hex7729c1ff5b38

131021232102200 has 96 divisors (see below), whose sum is σ = 332343893808000. Its totient is φ = 47640298723200.

The previous prime is 131021232102179. The next prime is 131021232102289. The reversal of 131021232102200 is 2201232120131.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 25402061 + ... + 30121539.

It is an arithmetic number, because the mean of its divisors is an integer number (3461915560500).

Almost surely, 2131021232102200 is an apocalyptic number.

131021232102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131021232102200 is an abundant number, since it is smaller than the sum of its proper divisors (201322661705800).

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

131021232102200 is a wasteful number, since it uses less digits than its factorization.

131021232102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732125 (or 4732116 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131021232102200 its reverse (2201232120131), we get a palindrome (133222464222331).

The spelling of 131021232102200 in words is "one hundred thirty-one trillion, twenty-one billion, two hundred thirty-two million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 12619 25238 50476 63095 100952 126190 138809 252380 277618 315475 504760 555236 630950 694045 1110472 1261900 1388090 2523800 2776180 3470225 4719479 5552360 6940450 9438958 13880900 18877916 23597395 27761800 37755832 47194790 51914269 94389580 103828538 117986975 188779160 207657076 235973950 259571345 415314152 471947900 519142690 943895800 1038285380 1297856725 2076570760 2595713450 5191426900 10382853800 59555105501 119110211002 238220422004 297775527505 476440844008 595551055010 655106160511 1191102110020 1310212321022 1488877637525 2382204220040 2620424642044 2977755275050 3275530802555 5240849284088 5955510550100 6551061605110 11911021100200 13102123210220 16377654012775 26204246420440 32755308025550 65510616051100 131021232102200