Search a number
-
+
131012001203004 = 223323188927920779
BaseRepresentation
bin11101110010011110011011…
…110010110000001100111100
3122011212121212121210222211000
4131302132123302300030330
5114133000034301444004
61142350025451530300
736411206344044525
oct3562363362601474
9564777777728730
10131012001203004
1138820972226609
121283b006159990
1358144c0016c7c
14244d02c45784c
151022dc971bc39
hex77279bcb033c

131012001203004 has 96 divisors (see below), whose sum is σ = 354616242624000. Its totient is φ = 41749827660288.

The previous prime is 131012001202987. The next prime is 131012001203021. The reversal of 131012001203004 is 400302100210131.

131012001203004 is a `hidden beast` number, since 1 + 310 + 1 + 200 + 120 + 30 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (131012001202987) and next prime (131012001203021).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9268114 + ... + 18652665.

It is an arithmetic number, because the mean of its divisors is an integer number (3693919194000).

Almost surely, 2131012001203004 is an apocalyptic number.

It is an amenable number.

131012001203004 is an abundant number, since it is smaller than the sum of its proper divisors (223604241420996).

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

131012001203004 is a wasteful number, since it uses less digits than its factorization.

131012001203004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27922704 (or 27922696 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131012001203004 its reverse (400302100210131), we get a palindrome (531314101413135).

The spelling of 131012001203004 in words is "one hundred thirty-one trillion, twelve billion, one million, two hundred three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 1889 2484 3778 5667 7556 11334 17001 22668 34002 43447 51003 68004 86894 102006 130341 173788 204012 260682 391023 521364 782046 1173069 1564092 2346138 4692276 27920779 55841558 83762337 111683116 167524674 251287011 335049348 502574022 642177917 753861033 1005148044 1284355834 1507722066 1926533751 2568711668 3015444132 3853067502 5779601253 7706135004 11559202506 17338803759 23118405012 34677607518 52742351531 69355215036 105484703062 158227054593 210969406124 316454109186 474681163779 632908218372 949362327558 1213074085213 1424043491337 1898724655116 2426148170426 2848086982674 3639222255639 4852296340852 5696173965348 7278444511278 10917666766917 14556889022556 21835333533834 32753000300751 43670667067668 65506000601502 131012001203004