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1011102102220 = 225731187124171
BaseRepresentation
bin11101011011010100110…
…00011011001011001100
310120122211102222122122011
432231222120123023030
5113031214114232340
62052254403031004
7133023024031000
oct16555230331314
93518742878564
101011102102220
1135a895860691
12143b6006b464
13744673c17b2
1436d1aad4700
151b47b2730ea
hexeb6a61b2cc

1011102102220 has 96 divisors (see below), whose sum is σ = 2478274444800. Its totient is φ = 346368738240.

The previous prime is 1011102102193. The next prime is 1011102102359. The reversal of 1011102102220 is 222012011101.

It is a super-2 number, since 2×10111021022202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1011102102220.

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, 8080735 + ... + 8204905.

It is an arithmetic number, because the mean of its divisors is an integer number (25815358800).

Almost surely, 21011102102220 is an apocalyptic number.

1011102102220 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 1011102102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239137222400).

1011102102220 is an abundant number, since it is smaller than the sum of its proper divisors (1467172342580).

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

1011102102220 is a wasteful number, since it uses less digits than its factorization.

1011102102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125388 (or 125372 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1011102102220 its reverse (222012011101), we get a palindrome (1233114113321).

The spelling of 1011102102220 in words is "one trillion, eleven billion, one hundred two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1187 1372 1715 2374 3430 4748 5935 6860 8309 11870 16618 23740 33236 41545 58163 83090 116326 124171 166180 232652 248342 290815 407141 496684 581630 620855 814282 869197 1163260 1241710 1628564 1738394 2035705 2483420 3476788 4071410 4345985 6084379 8142820 8691970 12168758 17383940 24337516 30421895 42590653 60843790 85181306 121687580 147390977 170362612 212953265 294781954 425906530 589563908 736954885 851813060 1031736839 1473909770 2063473678 2947819540 4126947356 5158684195 7222157873 10317368390 14444315746 20634736780 28888631492 36110789365 50555105111 72221578730 101110210222 144443157460 202220420444 252775525555 505551051110 1011102102220