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1112100000020 = 2251729314277823
BaseRepresentation
bin10000001011101110010…
…100110101000100010100
310221022112011100110022122
4100023232110311010110
5121210040100000040
62210520334315112
7143226606013352
oct20135624650424
93838464313278
101112100000020
11399703504109
1215b648058a98
1380b418835b9
143bb7c4b67d2
151dddcdc61b5
hex102ee535114

1112100000020 has 96 divisors (see below), whose sum is σ = 2483282769408. Its totient is φ = 416898332672.

The previous prime is 1112099999863. The next prime is 1112100000049. The reversal of 1112100000020 is 200000012111.

It is a junction number, because it is equal to n+sod(n) for n = 1112099999953 and 1112100000007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142153829 + ... + 142161651.

It is an arithmetic number, because the mean of its divisors is an integer number (25867528848).

Almost surely, 21112100000020 is an apocalyptic number.

1112100000020 is a gapful number since it is divisible by the number (10) 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 1112100000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241641384704).

1112100000020 is an abundant number, since it is smaller than the sum of its proper divisors (1371182769388).

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

1112100000020 is a wasteful number, since it uses less digits than its factorization.

1112100000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569 (or 9567 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1112100000020 its reverse (200000012111), we get a palindrome (1312100012131).

The spelling of 1112100000020 in words is "one trillion, one hundred twelve billion, one hundred million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 293 340 586 1172 1427 1465 2854 2930 4981 5708 5860 7135 7823 9962 14270 15646 19924 24259 24905 28540 31292 39115 48518 49810 78230 97036 99620 121295 132991 156460 242590 265982 418111 485180 531964 664955 836222 1329910 1672444 2090555 2292139 2659820 4181110 4584278 7107887 8362220 9168556 11163421 11460695 14215774 22326842 22921390 28431548 35539435 38966363 44653684 45842780 55817105 71078870 77932726 111634210 142157740 155865452 189778157 194831815 223268420 379556314 389663630 759112628 779327260 948890785 1897781570 3270882353 3795563140 6541764706 13083529412 16354411765 32708823530 55605000001 65417647060 111210000002 222420000004 278025000005 556050000010 1112100000020