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103431142241200 = 24522311242515461
BaseRepresentation
bin10111100001000111110000…
…011111011111001110110000
3111120012220212010202221110101
4113201013300133133032300
5102024103434403204300
61003551335532442144
730533440061033434
oct2741076037371660
9446186763687411
10103431142241200
112aa579a0394a74
12b725794319354
1345936901c9927
141b78145ccc9c4
15be5734962b6a
hex5e11f07df3b0

103431142241200 has 60 divisors (see below), whose sum is σ = 259297376615568. Its totient is φ = 39573654419200.

The previous prime is 103431142241173. The next prime is 103431142241233. The reversal of 103431142241200 is 2142241134301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5621248531 + ... + 5621266930.

Almost surely, 2103431142241200 is an apocalyptic number.

103431142241200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103431142241200 is an abundant number, since it is smaller than the sum of its proper divisors (155866234374368).

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

103431142241200 is a wasteful number, since it uses less digits than its factorization.

103431142241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11242515502 (or 11242515491 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 103431142241200 its reverse (2142241134301), we get a palindrome (105573383375501).

The spelling of 103431142241200 in words is "one hundred three trillion, four hundred thirty-one billion, one hundred forty-two million, two hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 11242515461 22485030922 44970061844 56212577305 89940123688 112425154610 179880247376 224850309220 258577855603 281062886525 449700618440 517155711206 562125773050 899401236880 1034311422412 1124251546100 1292889278015 2068622844824 2248503092200 2585778556030 4137245689648 4497006184400 5171557112060 6464446390075 10343114224120 12928892780150 20686228448240 25857785560300 51715571120600 103431142241200