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1102220010012 = 2231161647211573
BaseRepresentation
bin10000000010100001011…
…011101010001000011100
310220101000121101221221210
4100002201123222020130
5121024321310310022
62202204120024420
7142430016333642
oct20024133521034
93811017357853
101102220010012
113954a3508410
1215974b302110
137cc289c4774
143b4c2273192
151da10821a0c
hex100a16ea21c

1102220010012 has 96 divisors (see below), whose sum is σ = 2856066200064. Its totient is φ = 328021228800.

The previous prime is 1102220010011. The next prime is 1102220010019. The reversal of 1102220010012 is 2100100222011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1102220010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102220010011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5103858 + ... + 5315430.

It is an arithmetic number, because the mean of its divisors is an integer number (29750689584).

Almost surely, 21102220010012 is an apocalyptic number.

1102220010012 is a gapful number since it is divisible by the number (12) 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 1102220010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428033100032).

1102220010012 is an abundant number, since it is smaller than the sum of its proper divisors (1753846190052).

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

1102220010012 is a wasteful number, since it uses less digits than its factorization.

1102220010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212299 (or 212297 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1102220010012 its reverse (2100100222011), we get a palindrome (3202320232023).

The spelling of 1102220010012 in words is "one trillion, one hundred two billion, two hundred twenty million, ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 647 671 732 1294 1342 1941 2013 2588 2684 3882 4026 7117 7764 8052 14234 21351 28468 39467 42702 78934 85404 118401 157868 211573 236802 423146 434137 473604 634719 846292 868274 1269438 1302411 1736548 2327303 2538876 2604822 4654606 5209644 6981909 9309212 12905953 13963818 25811906 27927636 38717859 51623812 77435718 136887731 141965483 154871436 273775462 283930966 410663193 425896449 547550924 567861932 821326386 851792898 1505765041 1642652772 1703585796 3011530082 4517295123 6023060164 8350151591 9034590246 16700303182 18069180492 25050454773 33400606364 50100909546 91851667501 100201819092 183703335002 275555002503 367406670004 551110005006 1102220010012