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131000030013000 = 23353113386430767
BaseRepresentation
bin11101110010010011010010…
…010000010010011001001000
3122011211110222022220112100110
4131302103102100102121020
5114132301030140404000
61142340325531434320
736410303602442121
oct3562232220223110
9564743868815313
10131000030013000
1138816889862355
1212838824bb59a0
135813332b2b8a5
14244c6145b9048
15102292878c850
hex7724d2412648

131000030013000 has 128 divisors (see below), whose sum is σ = 412337086686720. Its totient is φ = 34624196633600.

The previous prime is 131000030012993. The next prime is 131000030013031. The reversal of 131000030013000 is 310030000131.

It is a super-2 number, since 2×1310000300130002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192876384 + ... + 193554383.

It is an arithmetic number, because the mean of its divisors is an integer number (3221383489740).

Almost surely, 2131000030013000 is an apocalyptic number.

131000030013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000030013000 is an abundant number, since it is smaller than the sum of its proper divisors (281337056673720).

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

131000030013000 is a wasteful number, since it uses less digits than its factorization.

131000030013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386430904 (or 386430890 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 131000030013000 its reverse (310030000131), we get a palindrome (131310060013131).

The spelling of 131000030013000 in words is "one hundred thirty-one trillion, thirty million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 113 120 125 150 200 226 250 300 339 375 452 500 565 600 678 750 904 1000 1130 1356 1500 1695 2260 2712 2825 3000 3390 4520 5650 6780 8475 11300 13560 14125 16950 22600 28250 33900 42375 56500 67800 84750 113000 169500 339000 386430767 772861534 1159292301 1545723068 1932153835 2318584602 3091446136 3864307670 4637169204 5796461505 7728615340 9274338408 9660769175 11592923010 15457230680 19321538350 23185846020 28982307525 38643076700 43666676671 46371692040 48303845875 57964615050 77286153400 87333353342 96607691750 115929230100 131000030013 144911537625 174666706684 193215383500 218333383355 231858460200 262000060026 289823075250 349333413368 386430767000 436666766710 524000120052 579646150500 655000150065 873333533420 1048000240104 1091666916775 1159292301000 1310000300130 1746667066840 2183333833550 2620000600260 3275000750325 4366667667100 5240001200520 5458334583875 6550001500650 8733335334200 10916669167750 13100003001300 16375003751625 21833338335500 26200006002600 32750007503250 43666676671000 65500015006500 131000030013000