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101012112002220 = 22352243177505161
BaseRepresentation
bin10110111101111010110111…
…000011011100110010101100
3111020122122220202121102021120
4112331322313003130302230
5101214440301133032340
6554500153523300540
730163612205206146
oct2675726703346254
9436578822542246
10101012112002220
112a204aa5932661
12b3b49a7b1a750
13444952a82cab3
141ad3025aadc96
15ba285452c4d0
hex5bdeb70dccac

101012112002220 has 48 divisors (see below), whose sum is σ = 282835212158688. Its totient is φ = 26936439528960.

The previous prime is 101012112002213. The next prime is 101012112002339. The reversal of 101012112002220 is 22200211210101.

It is a super-2 number, since 2×1010121120022202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101012112002220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9706440 + ... + 17211600.

It is an arithmetic number, because the mean of its divisors is an integer number (5892400253306).

Almost surely, 2101012112002220 is an apocalyptic number.

101012112002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012112002220 is an abundant number, since it is smaller than the sum of its proper divisors (181823100156468).

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

101012112002220 is a wasteful number, since it uses less digits than its factorization.

101012112002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7729490 (or 7729488 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101012112002220 its reverse (22200211210101), we get a palindrome (123212323212321).

The spelling of 101012112002220 in words is "one hundred one trillion, twelve billion, one hundred twelve million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 224317 448634 672951 897268 1121585 1345902 2243170 2691804 3364755 4486340 6729510 7505161 13459020 15010322 22515483 30020644 37525805 45030966 75051610 90061932 112577415 150103220 225154830 450309660 1683535200037 3367070400074 5050605600111 6734140800148 8417676000185 10101211200222 16835352000370 20202422400444 25253028000555 33670704000740 50506056001110 101012112002220