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22130114020 = 2257229778681
BaseRepresentation
bin10100100111000011…
…101011110111100100
32010010021201021100121
4110213003223313210
5330310302122040
614055541051324
71412255602600
oct244703536744
963107637317
1022130114020
119426966233
1243573b6b44
132118aaa631
1410dd170500
15897c80c4a
hex5270ebde4

22130114020 has 72 divisors (see below), whose sum is σ = 55924941240. Its totient is φ = 7325821440.

The previous prime is 22130114011. The next prime is 22130114029. The reversal of 22130114020 is 2041103122.

It is an interprime number because it is at equal distance from previous prime (22130114011) and next prime (22130114029).

It can be written as a sum of positive squares in 4 ways, for example, as 1352621284 + 20777492736 = 36778^2 + 144144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22130113985 and 22130114003.

It is not an unprimeable number, because it can be changed into a prime (22130114029) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 360921 + ... + 417760.

It is an arithmetic number, because the mean of its divisors is an integer number (776735295).

Almost surely, 222130114020 is an apocalyptic number.

22130114020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22130114020 is an abundant number, since it is smaller than the sum of its proper divisors (33794827220).

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

22130114020 is a wasteful number, since it uses less digits than its factorization.

22130114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778733 (or 778724 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22130114020 its reverse (2041103122), we get a palindrome (24171217142).

The spelling of 22130114020 in words is "twenty-two billion, one hundred thirty million, one hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 4060 5684 7105 14210 28420 778681 1557362 3114724 3893405 5450767 7786810 10901534 15573620 21803068 22581749 27253835 38155369 45163498 54507670 76310738 90326996 109015340 112908745 152621476 158072243 190776845 225817490 316144486 381553690 451634980 632288972 763107380 790361215 1106505701 1580722430 2213011402 3161444860 4426022804 5532528505 11065057010 22130114020