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102300233000 = 2353761239579
BaseRepresentation
bin101111101000110010…
…0011010110100101000
3100210001110221021201112
41133101210122310220
53134002324424000
6114555053005452
710251044430110
oct1372144326450
9323043837645
10102300233000
113a4268a6209
12179b0183888
139854236964
144d46750040
1529db155235
hex17d191ad28

102300233000 has 128 divisors (see below), whose sum is σ = 278066131200. Its totient is φ = 34499232000.

The previous prime is 102300232987. The next prime is 102300233011. The reversal of 102300233000 is 332003201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307211 + ... + 546789.

It is an arithmetic number, because the mean of its divisors is an integer number (2172391650).

Almost surely, 2102300233000 is an apocalyptic number.

102300233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102300233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139033065600).

102300233000 is an abundant number, since it is smaller than the sum of its proper divisors (175765898200).

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

102300233000 is a wasteful number, since it uses less digits than its factorization.

102300233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239668 (or 239654 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 102300233000 its reverse (332003201), we get a palindrome (102632236201).

The spelling of 102300233000 in words is "one hundred two billion, three hundred million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 61 70 100 122 125 140 175 200 244 250 280 305 350 427 488 500 610 700 854 875 1000 1220 1400 1525 1708 1750 2135 2440 3050 3416 3500 4270 6100 7000 7625 8540 10675 12200 15250 17080 21350 30500 42700 53375 61000 85400 106750 213500 239579 427000 479158 958316 1197895 1677053 1916632 2395790 3354106 4791580 5989475 6708212 8385265 9583160 11978950 13416424 14614319 16770530 23957900 29228638 29947375 33541060 41926325 47915800 58457276 59894750 67082120 73071595 83852650 102300233 116914552 119789500 146143190 167705300 204600466 209631625 239579000 292286380 335410600 365357975 409200932 419263250 511501165 584572760 730715950 818401864 838526500 1023002330 1461431900 1677053000 1826789875 2046004660 2557505825 2922863800 3653579750 4092009320 5115011650 7307159500 10230023300 12787529125 14614319000 20460046600 25575058250 51150116500 102300233000