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101539242441900 = 223252823137085517
BaseRepresentation
bin10111000101100101110010…
…011110011111110010101100
3111022112001112101112021011100
4113011211302132133302230
5101302104332031120100
6555542252314123100
730246653041053354
oct2705456236376254
9438461471467140
10101539242441900
112a398607265a2a
12b47ab9aa20490
13448715669c073
141b107501abb64
15bb1406dae400
hex5c597279fcac

101539242441900 has 108 divisors (see below), whose sum is σ = 318655834933072. Its totient is φ = 27044230596480.

The previous prime is 101539242441851. The next prime is 101539242441953. The reversal of 101539242441900 is 9144242935101.

101539242441900 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 39 + 2 + 424 + 4 + 190 + 0 = 666.

It is a super-2 number, since 2×1015392424419002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67802059 + ... + 69283458.

Almost surely, 2101539242441900 is an apocalyptic number.

101539242441900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101539242441900 is an abundant number, since it is smaller than the sum of its proper divisors (217116592491172).

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

101539242441900 is a wasteful number, since it uses less digits than its factorization.

101539242441900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137086360 (or 137086350 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 101539242441900 in words is "one hundred one trillion, five hundred thirty-nine billion, two hundred forty-two million, four hundred forty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 823 900 1646 2469 3292 4115 4938 7407 8230 9876 12345 14814 16460 20575 24690 29628 37035 41150 49380 61725 74070 82300 123450 148140 185175 246900 370350 740700 137085517 274171034 411256551 548342068 685427585 822513102 1233769653 1370855170 1645026204 2056282755 2467539306 2741710340 3427137925 4112565510 4935078612 6168848265 6854275850 8225131020 10281413775 12337696530 13708551700 20562827550 24675393060 30844241325 41125655100 61688482650 112821380491 123376965300 225642760982 338464141473 451285521964 564106902455 676928282946 1015392424419 1128213804910 1353856565892 1692320707365 2030784848838 2256427609820 2820534512275 3384641414730 4061569697676 5076962122095 5641069024550 6769282829460 8461603536825 10153924244190 11282138049100 16923207073650 20307848488380 25384810610475 33846414147300 50769621220950 101539242441900