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2100130331112 = 2334112511173829
BaseRepresentation
bin11110100011111001100…
…001011011100111101000
321102202210200201200220000
4132203321201123213220
5233402031331043422
64244441521303000
7304505121163452
oct36437141334750
97382720650800
102100130331112
1173a729904650
1229b029494a60
131230700771c8
147390ad592d2
15399688adcac
hex1e8f985b9e8

2100130331112 has 160 divisors (see below), whose sum is σ = 6442636384800. Its totient is φ = 633867120000.

The previous prime is 2100130331087. The next prime is 2100130331129. The reversal of 2100130331112 is 2111330310012.

2100130331112 is a `hidden beast` number, since 210 + 0 + 13 + 0 + 331 + 112 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1202214 + ... + 2376042.

It is an arithmetic number, because the mean of its divisors is an integer number (40266477405).

Almost surely, 22100130331112 is an apocalyptic number.

2100130331112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100130331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221318192400).

2100130331112 is an abundant number, since it is smaller than the sum of its proper divisors (4342506053688).

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

2100130331112 is a wasteful number, since it uses less digits than its factorization.

2100130331112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174109 (or 1174096 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2100130331112 its reverse (2111330310012), we get a palindrome (4211460641124).

The spelling of 2100130331112 in words is "two trillion, one hundred billion, one hundred thirty million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 251 264 297 324 396 502 594 648 753 792 891 1004 1188 1506 1782 2008 2259 2376 2761 3012 3564 4518 5522 6024 6777 7128 8283 9036 11044 13554 16566 18072 20331 22088 24849 27108 33132 40662 49698 54216 66264 74547 81324 99396 149094 162648 198792 223641 298188 447282 596376 894564 1173829 1789128 2347658 3521487 4695316 7042974 9390632 10564461 12912119 14085948 21128922 25824238 28171896 31693383 38736357 42257844 51648476 63386766 77472714 84515688 95080149 103296952 116209071 126773532 154945428 190160298 232418142 253547064 294631079 309890856 348627213 380320596 464836284 589262158 697254426 760641192 883893237 929672568 1045881639 1178524316 1394508852 1767786474 2091763278 2357048632 2651679711 2789017704 3240941869 3535572948 4183526556 5303359422 6481883738 7071145896 7955039133 8367053112 9722825607 10606718844 12963767476 15910078266 19445651214 21213437688 23865117399 25927534952 29168476821 31820156532 38891302428 47730234798 58336953642 63640313064 77782604856 87505430463 95460469596 116673907284 175010860926 190920939192 233347814568 262516291389 350021721852 525032582778 700043443704 1050065165556 2100130331112