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105056011000050 = 235211371720819181
BaseRepresentation
bin10111111000110001000010…
…001101111001100011110010
3111202222020221001000021020020
4113320301002031321203302
5102232214202304000200
61011234022025224310
731062021613431555
oct2770610215714362
9452866831007206
10105056011000050
1130524005450020
12b948685632096
13468097c3c7796
141bd2a4935c69c
15c22b34442ea0
hex5f8c423798f2

105056011000050 has 96 divisors (see below), whose sum is σ = 291905999481024. Its totient is φ = 24779796192000.

The previous prime is 105056011000037. The next prime is 105056011000081. The reversal of 105056011000050 is 50000110650501.

It is a super-2 number, since 2×1050560110000502 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860348541 + ... + 860470640.

It is an arithmetic number, because the mean of its divisors is an integer number (3040687494594).

Almost surely, 2105056011000050 is an apocalyptic number.

105056011000050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105056011000050 is an abundant number, since it is smaller than the sum of its proper divisors (186849988480974).

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

105056011000050 is a wasteful number, since it uses less digits than its factorization.

105056011000050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720819244 (or 1720819239 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 105056011000050 its reverse (50000110650501), we get a palindrome (155056121650551).

The spelling of 105056011000050 in words is "one hundred five trillion, fifty-six billion, eleven million, fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 37 50 55 66 74 75 110 111 150 165 185 222 275 330 370 407 550 555 814 825 925 1110 1221 1650 1850 2035 2442 2775 4070 5550 6105 10175 12210 20350 30525 61050 1720819181 3441638362 5162457543 8604095905 10324915086 17208191810 18929010991 25812287715 37858021982 43020479525 51624575430 56787032973 63670309697 86040959050 94645054955 113574065946 127340619394 129061438575 189290109910 191010929091 258122877150 283935164865 318351548485 382021858182 473225274775 567870329730 636703096970 700373406667 946450549550 955054645455 1400746813334 1419675824325 1591757742425 1910109290910 2101120220001 2839351648650 3183515484850 3501867033335 4202240440002 4775273227275 7003734066670 9550546454550 10505601100005 17509335166675 21011202200010 35018670333350 52528005500025 105056011000050