Search a number
-
+
2001200000100 = 2235274123242741
BaseRepresentation
bin11101000111110000110…
…100001010110001100100
321002022110001212011122020
4131013300310022301210
5230241424200000400
64131201045103140
7264403413223440
oct35076064126144
97068401764566
102001200000100
11701782257704
12283a199b7ab0
131169350588c2
146cc03dbd820
15370c85182a0
hex1d1f0d0ac64

2001200000100 has 144 divisors (see below), whose sum is σ = 6778699218816. Its totient is φ = 446260608000.

The previous prime is 2001200000099. The next prime is 2001200000147. The reversal of 2001200000100 is 10000021002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 47 ways as a sum of consecutive naturals, for example, 11535271 + ... + 11707470.

Almost surely, 22001200000100 is an apocalyptic number.

2001200000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001200000100 is an abundant number, since it is smaller than the sum of its proper divisors (4777499218716).

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

2001200000100 is a wasteful number, since it uses less digits than its factorization.

2001200000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23242806 (or 23242799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 2001200000100 its reverse (10000021002), we get a palindrome (2011200021102).

The spelling of 2001200000100 in words is "two trillion, one billion, two hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 41 42 50 60 70 75 82 84 100 105 123 140 150 164 175 205 210 246 287 300 350 410 420 492 525 574 615 700 820 861 1025 1050 1148 1230 1435 1722 2050 2100 2460 2870 3075 3444 4100 4305 5740 6150 7175 8610 12300 14350 17220 21525 28700 43050 86100 23242741 46485482 69728223 92970964 116213705 139456446 162699187 232427410 278912892 325398374 348641115 464854820 488097561 581068525 650796748 697282230 813495935 952952381 976195122 1162137050 1394564460 1626991870 1743205575 1905904762 1952390244 2324274100 2440487805 2858857143 3253983740 3486411150 3811809524 4067479675 4764761905 4880975610 5717714286 6670666667 6972822300 8134959350 9529523810 9761951220 11435428572 12202439025 13341333334 14294285715 16269918700 19059047620 20012000001 23823809525 24404878050 26682666668 28588571430 33353333335 40024000002 47647619050 48809756100 57177142860 66706666670 71471428575 80048000004 95295238100 100060000005 133413333340 142942857150 166766666675 200120000010 285885714300 333533333350 400240000020 500300000025 667066666700 1000600000050 2001200000100