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1011102110220 = 2235374431028107
BaseRepresentation
bin11101011011010100110…
…00011101001000001100
310120122211110000001121110
432231222120131020030
5113031214120011340
62052254403132020
7133023024063216
oct16555230351014
93518743001543
101011102110220
1135a8958666a4
12143b60074010
13744673c5327
1436d1aad75b6
151b47b275680
hexeb6a61d20c

1011102110220 has 96 divisors (see below), whose sum is σ = 2914168013568. Its totient is φ = 261747562752.

The previous prime is 1011102110197. The next prime is 1011102110251. The reversal of 1011102110220 is 220112011101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011102110196 and 1011102110205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469407 + ... + 1497513.

It is an arithmetic number, because the mean of its divisors is an integer number (30355916808).

Almost surely, 21011102110220 is an apocalyptic number.

1011102110220 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 1011102110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457084006784).

1011102110220 is an abundant number, since it is smaller than the sum of its proper divisors (1903065903348).

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

1011102110220 is a wasteful number, since it uses less digits than its factorization.

1011102110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028599 (or 1028597 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011102110220 its reverse (220112011101), we get a palindrome (1231214121321).

The spelling of 1011102110220 in words is "one trillion, eleven billion, one hundred two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 443 444 555 740 886 1110 1329 1772 2215 2220 2658 4430 5316 6645 8860 13290 16391 26580 32782 49173 65564 81955 98346 163910 196692 245865 327820 491730 983460 1028107 2056214 3084321 4112428 5140535 6168642 10281070 12337284 15421605 20562140 30843210 38039959 61686420 76079918 114119877 152159836 190199795 228239754 380399590 455451401 456479508 570599385 760799180 910902802 1141198770 1366354203 1821805604 2277257005 2282397540 2732708406 4554514010 5465416812 6831771015 9109028020 13663542030 16851701837 27327084060 33703403674 50555105511 67406807348 84258509185 101110211022 168517018370 202220422044 252775527555 337034036740 505551055110 1011102110220