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102386454700 = 22525373926141
BaseRepresentation
bin101111101011010110…
…1010101000010101100
3100210021111011210122211
41133112231111002230
53134141413022300
6115011413020204
710253142335245
oct1372655250254
9323244153584
10102386454700
113a470536912
1217a15024664
139869064c0a
144d53d95ccc
1529e39d74ba
hex17d6b550ac

102386454700 has 72 divisors (see below), whose sum is σ = 226685647440. Its totient is φ = 40125945600.

The previous prime is 102386454631. The next prime is 102386454733. The reversal of 102386454700 is 7454683201.

It is a super-2 number, since 2×1023864547002 (a number of 23 digits) contains 22 as substring.

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, 3903630 + ... + 3929770.

It is an arithmetic number, because the mean of its divisors is an integer number (3148411770).

Almost surely, 2102386454700 is an apocalyptic number.

102386454700 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 102386454700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113342823720).

102386454700 is an abundant number, since it is smaller than the sum of its proper divisors (124299192740).

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

102386454700 is a wasteful number, since it uses less digits than its factorization.

102386454700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26947 (or 26940 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 102386454700 in words is "one hundred two billion, three hundred eighty-six million, four hundred fifty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 739 1060 1325 1478 2650 2956 3695 5300 7390 14780 18475 26141 36950 39167 52282 73900 78334 104564 130705 156668 195835 261410 391670 522820 653525 783340 979175 1307050 1385473 1958350 2614100 2770946 3916700 5541892 6927365 13854730 19318199 27709460 34636825 38636398 69273650 77272796 96590995 138547300 193181990 386363980 482954975 965909950 1023864547 1931819900 2047729094 4095458188 5119322735 10238645470 20477290940 25596613675 51193227350 102386454700