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10131213303200 = 2552111960593381
BaseRepresentation
bin1001001101101101101101…
…0111101011110110100000
31022212112102200012200112202
42103123123113223312200
52311442211101200300
633314114245312332
72063645624124623
oct223333327536640
938775380180482
1010131213303200
113256694875870
1211775b6a056a8
135864a5501732
142704d37cbdba
1512880956dad5
hex936db5ebda0

10131213303200 has 144 divisors (see below), whose sum is σ = 28401330011040. Its totient is φ = 3490178688000.

The previous prime is 10131213303109. The next prime is 10131213303203. The reversal of 10131213303200 is 230331213101.

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

It is not an unprimeable number, because it can be changed into a prime (10131213303203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30129491 + ... + 30463890.

It is an arithmetic number, because the mean of its divisors is an integer number (197231458410).

Almost surely, 210131213303200 is an apocalyptic number.

10131213303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131213303200 is an abundant number, since it is smaller than the sum of its proper divisors (18270116707840).

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

10131213303200 is a wasteful number, since it uses less digits than its factorization.

10131213303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60593431 (or 60593418 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10131213303200 its reverse (230331213101), we get a palindrome (10361544516301).

The spelling of 10131213303200 in words is "ten trillion, one hundred thirty-one billion, two hundred thirteen million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 76 80 88 95 100 110 152 160 176 190 200 209 220 275 304 352 380 400 418 440 475 550 608 760 800 836 880 950 1045 1100 1520 1672 1760 1900 2090 2200 3040 3344 3800 4180 4400 5225 6688 7600 8360 8800 10450 15200 16720 20900 33440 41800 83600 167200 60593381 121186762 242373524 302966905 484747048 605933810 666527191 969494096 1151274239 1211867620 1333054382 1514834525 1938988192 2302548478 2423735240 2666108764 3029669050 3332635955 4605096956 4847470480 5332217528 5756371195 6059338100 6665271910 9210193912 9694940960 10664435056 11512742390 12118676200 12664016629 13330543820 16663179775 18420387824 21328870112 23025484780 24237352400 25328033258 26661087640 28781855975 33326359550 36840775648 46050969560 48474704800 50656066516 53322175280 57563711950 63320083145 66652719100 92101939120 101312133032 106644350560 115127423900 126640166290 133305438200 184203878240 202624266064 230254847800 253280332580 266610876400 316600415725 405248532128 460509695600 506560665160 533221752800 633200831450 921019391200 1013121330320 1266401662900 2026242660640 2532803325800 5065606651600 10131213303200