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1031112000100 = 2252713113309011
BaseRepresentation
bin11110000000100110001…
…00001000001001100100
310122120110222010210020001
433000103010020021210
5113343204133000400
62105404124351044
7134331626250460
oct17002304101144
93576428123201
101031112000100
11368323930076
12147a053a5484
1376305b53660
1437c984354a0
151bc4cce6a6a
hexf013108264

1031112000100 has 72 divisors (see below), whose sum is σ = 2753862227648. Its totient is φ = 326329948800.

The previous prime is 1031112000091. The next prime is 1031112000101. The reversal of 1031112000100 is 10002111301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1031112000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56645406 + ... + 56663605.

Almost surely, 21031112000100 is an apocalyptic number.

1031112000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031112000100 is an abundant number, since it is smaller than the sum of its proper divisors (1722750227548).

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

1031112000100 is a wasteful number, since it uses less digits than its factorization.

1031112000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113309045 (or 113309038 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1031112000100 its reverse (10002111301), we get a palindrome (1041114111401).

The spelling of 1031112000100 in words is "one trillion, thirty-one billion, one hundred twelve million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 113309011 226618022 453236044 566545055 793163077 1133090110 1473017143 1586326154 2266180220 2832725275 2946034286 3172652308 3965815385 5665450550 5892068572 7365085715 7931630770 10311120001 11330901100 14730171430 15863261540 19829076925 20622240002 29460342860 36825428575 39658153850 41244480004 51555600005 73650857150 79316307700 103111200010 147301714300 206222400020 257778000025 515556000050 1031112000100