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10101120220 = 2252397226381
BaseRepresentation
bin10010110100001001…
…01101110011011100
3222001222001001222201
421122010231303130
5131141341321340
64350154021244
7505213051042
oct113204556334
928058031881
1010101120220
114313901144
121b5aa17824
13c4c933b19
146bb766392
153e1bd479a
hex25a12dcdc

10101120220 has 48 divisors (see below), whose sum is σ = 22362919488. Its totient is φ = 3824916480.

The previous prime is 10101120203. The next prime is 10101120241. The reversal of 10101120220 is 2202110101.

10101120220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10101120197 and 10101120206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68571 + ... + 157810.

It is an arithmetic number, because the mean of its divisors is an integer number (465894156).

Almost surely, 210101120220 is an apocalyptic number.

10101120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101120220 is an abundant number, since it is smaller than the sum of its proper divisors (12261799268).

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

10101120220 is a wasteful number, since it uses less digits than its factorization.

10101120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226510 (or 226508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10101120220 its reverse (2202110101), we get a palindrome (12303230321).

It can be divided in two parts, 10101 and 120220, that added together give a 4-th power (130321 = 194).

The spelling of 10101120220 in words is "ten billion, one hundred one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 97 115 194 230 388 460 485 970 1940 2231 4462 8924 11155 22310 44620 226381 452762 905524 1131905 2263810 4527620 5206763 10413526 20827052 21958957 26033815 43917914 52067630 87835828 104135260 109794785 219589570 439179140 505056011 1010112022 2020224044 2525280055 5050560110 10101120220