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103042202400 = 25325214311417
BaseRepresentation
bin101111111110111001…
…0110011101100100000
3100211222012002020101200
41133331302303230200
53142012300434100
6115200440001200
710305324161154
oct1377562635440
9324865066350
10103042202400
113a777700865
1217b78760200
139941b7c0c7
144db70d1064
152a31367e00
hex17fdcb3b20

103042202400 has 108 divisors (see below), whose sum is σ = 363352591602. Its totient is φ = 27477918720.

The previous prime is 103042202399. The next prime is 103042202407. The reversal of 103042202400 is 4202240301.

103042202400 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 422 + 0 + 240 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 71231339664 + 31810862736 = 266892^2 + 178356^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103042202407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7148509 + ... + 7162908.

Almost surely, 2103042202400 is an apocalyptic number.

103042202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103042202400 is an abundant number, since it is smaller than the sum of its proper divisors (260310389202).

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

103042202400 is a wasteful number, since it uses less digits than its factorization.

103042202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14311443 (or 14311427 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 103042202400 its reverse (4202240301), we get a palindrome (107244442701).

The spelling of 103042202400 in words is "one hundred three billion, forty-two million, two hundred two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 14311417 28622834 42934251 57245668 71557085 85868502 114491336 128802753 143114170 171737004 214671255 228982672 257605506 286228340 343474008 357785425 429342510 457965344 515211012 572456680 644013765 686948016 715570850 858685020 1030422024 1073356275 1144913360 1288027530 1373896032 1431141700 1717370040 2060844048 2146712550 2289826720 2576055060 2862283400 3220068825 3434740080 4121688096 4293425100 5152110120 5724566800 6440137650 6869480160 8586850200 10304220240 11449133600 12880275300 17173700400 20608440480 25760550600 34347400800 51521101200 103042202400