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113455600100400 = 24352891062318353
BaseRepresentation
bin11001110010111111110000…
…101111011110010000110000
3112212201020201211210011201210
4121302333300233132100300
5104332324032111203100
61041144441054400120
732616616351653015
oct3162776057362060
9485636654704653
10113455600100400
1133172282525668
1210884556b00040
134b3ca8147048c
1420033cd39d70c
15d1b391b88c50
hex672ff0bde430

113455600100400 has 120 divisors (see below), whose sum is σ = 367519657749840. Its totient is φ = 29914884792320.

The previous prime is 113455600100377. The next prime is 113455600100407. The reversal of 113455600100400 is 4001006554311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (113455600100407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531052377 + ... + 531265976.

It is an arithmetic number, because the mean of its divisors is an integer number (3062663814582).

Almost surely, 2113455600100400 is an apocalyptic number.

113455600100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113455600100400 is an abundant number, since it is smaller than the sum of its proper divisors (254064057649440).

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

113455600100400 is a wasteful number, since it uses less digits than its factorization.

113455600100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062318463 (or 1062318452 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 113455600100400 its reverse (4001006554311), we get a palindrome (117456606654711).

The spelling of 113455600100400 in words is "one hundred thirteen trillion, four hundred fifty-five billion, six hundred million, one hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 89 100 120 150 178 200 240 267 300 356 400 445 534 600 712 890 1068 1200 1335 1424 1780 2136 2225 2670 3560 4272 4450 5340 6675 7120 8900 10680 13350 17800 21360 26700 35600 53400 106800 1062318353 2124636706 3186955059 4249273412 5311591765 6373910118 8498546824 10623183530 12747820236 15934775295 16997093648 21246367060 25495640472 26557958825 31869550590 42492734120 50991280944 53115917650 63739101180 79673876475 84985468240 94546333417 106231835300 127478202360 159347752950 189092666834 212463670600 254956404720 283639000251 318695505900 378185333668 424927341200 472731667085 567278000502 637391011800 756370667336 945463334170 1134556001004 1274782023600 1418195001255 1512741334672 1890926668340 2269112002008 2363658335425 2836390002510 3781853336680 4538224004016 4727316670850 5672780005020 7090975006275 7563706673360 9454633341700 11345560010040 14181950012550 18909266683400 22691120020080 28363900025100 37818533366800 56727800050200 113455600100400