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102386387400 = 233521115513089
BaseRepresentation
bin101111101011010110…
…1000100100111001000
3100210021111001101100020
41133112231010213020
53134141403344100
6115011411340440
710253141635113
oct1372655044710
9323244041306
10102386387400
113a4704a02a0
1217a14bb1720
1398690403ab
144d53d7957a
1529e39c25a0
hex17d6b449c8

102386387400 has 96 divisors (see below), whose sum is σ = 346252168800. Its totient is φ = 24820940800.

The previous prime is 102386387353. The next prime is 102386387413. The reversal of 102386387400 is 4783683201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7749945 + ... + 7763144.

It is an arithmetic number, because the mean of its divisors is an integer number (3606793425).

Almost surely, 2102386387400 is an apocalyptic number.

102386387400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102386387400 is an abundant number, since it is smaller than the sum of its proper divisors (243865781400).

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

102386387400 is a wasteful number, since it uses less digits than its factorization.

102386387400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15513119 (or 15513110 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 102386387400 in words is "one hundred two billion, three hundred eighty-six million, three hundred eighty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 15513089 31026178 46539267 62052356 77565445 93078534 124104712 155130890 170643979 186157068 232696335 310261780 341287958 372314136 387827225 465392670 511931937 620523560 682575916 775654450 853219895 930785340 1023863874 1163481675 1365151832 1551308900 1706439790 1861570680 2047727748 2326963350 2559659685 3102617800 3412879580 4095455496 4266099475 4653926700 5119319370 6825759160 8532198950 9307853400 10238638740 12798298425 17064397900 20477277480 25596596850 34128795800 51193193700 102386387400