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107713532300 = 2252111134012161
BaseRepresentation
bin110010001010000111…
…0100001000110001100
3101022000202000101100012
41210110032201012030
53231044131013200
6121252150452352
710532145626603
oct1442416410614
9338022011305
10107713532300
1141754532090
1218a610640b8
13a2078b233a
1452db678a3a
152c064eaa35
hex19143a118c

107713532300 has 144 divisors (see below), whose sum is σ = 258004674144. Its totient is φ = 38707200000.

The previous prime is 107713532279. The next prime is 107713532309. The reversal of 107713532300 is 3235317701.

It is not an unprimeable number, because it can be changed into a prime (107713532309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49843220 + ... + 49845380.

It is an arithmetic number, because the mean of its divisors is an integer number (1791699126).

Almost surely, 2107713532300 is an apocalyptic number.

107713532300 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 107713532300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129002337072).

107713532300 is an abundant number, since it is smaller than the sum of its proper divisors (150291141844).

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

107713532300 is a wasteful number, since it uses less digits than its factorization.

107713532300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 32.

The spelling of 107713532300 in words is "one hundred seven billion, seven hundred thirteen million, five hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 113 220 226 275 401 452 550 565 802 1100 1130 1243 1604 2005 2161 2260 2486 2825 4010 4322 4411 4972 5650 6215 8020 8644 8822 10025 10805 11300 12430 17644 20050 21610 22055 23771 24860 31075 40100 43220 44110 45313 47542 54025 62150 88220 90626 95084 108050 110275 118855 124300 181252 216100 220550 226565 237710 244193 441100 453130 475420 488386 498443 594275 866561 906260 976772 996886 1132825 1188550 1220965 1733122 1993772 2265650 2377100 2441930 2492215 2686123 3466244 4332805 4531300 4883860 4984430 5372246 6104825 8665610 9532171 9968860 10744492 12209650 12461075 13430615 17331220 19064342 21664025 24419300 24922150 26861230 38128684 43328050 47660855 49844300 53722460 67153075 86656100 95321710 97921393 134306150 190643420 195842786 238304275 268612300 391685572 476608550 489606965 953217100 979213930 1077135323 1958427860 2154270646 2448034825 4308541292 4896069650 5385676615 9792139300 10771353230 21542706460 26928383075 53856766150 107713532300