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1022100010110 = 23356615727013
BaseRepresentation
bin11101101111110011110…
…10000111010001111110
310121201012220111021001000
432313321322013101332
5113221230100310420
62101313554231130
7133562406511254
oct16677172072176
93551186437030
101022100010110
1136451989a663
1214610b2854a6
13754caa65aba
14376815bc5d4
151b8c1a4c690
hexedf9e8747e

1022100010110 has 64 divisors (see below), whose sum is σ = 2729723952960. Its totient is φ = 272147610240.

The previous prime is 1022100010109. The next prime is 1022100010121. The reversal of 1022100010110 is 110100012201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1022100010092 and 1022100010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2685037 + ... + 3041976.

It is an arithmetic number, because the mean of its divisors is an integer number (42651936765).

Almost surely, 21022100010110 is an apocalyptic number.

1022100010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022100010110 is an abundant number, since it is smaller than the sum of its proper divisors (1707623942850).

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

1022100010110 is a wasteful number, since it uses less digits than its factorization.

1022100010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727690 (or 5727684 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1022100010110 its reverse (110100012201), we get a palindrome (1132200022311).

The spelling of 1022100010110 in words is "one trillion, twenty-two billion, one hundred million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 661 1322 1983 3305 3966 5949 6610 9915 11898 17847 19830 29745 35694 59490 89235 178470 5727013 11454026 17181039 28635065 34362078 51543117 57270130 85905195 103086234 154629351 171810390 257715585 309258702 515431170 773146755 1546293510 3785555593 7571111186 11356666779 18927777965 22713333558 34070000337 37855555930 56783333895 68140000674 102210001011 113566667790 170350001685 204420002022 340700003370 511050005055 1022100010110