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22143100122 = 232111327673109
BaseRepresentation
bin10100100111110101…
…001110010011011010
32010011012011000221100
4110213311032103122
5330322113200442
614101123252230
71412504150133
oct244765162332
963135130840
1022143100122
119433225950
12435b81a076
13211b6a6410
141100b90c8a
15898e9884c
hex527d4e4da

22143100122 has 96 divisors (see below), whose sum is σ = 56402760960. Its totient is φ = 6189644160.

The previous prime is 22143100103. The next prime is 22143100141. The reversal of 22143100122 is 22100134122.

It is a happy number.

22143100122 is a `hidden beast` number, since 221 + 431 + 0 + 0 + 12 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22143100103) and next prime (22143100141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22143100095 and 22143100104.

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 47 ways as a sum of consecutive naturals, for example, 7120704 + ... + 7123812.

It is an arithmetic number, because the mean of its divisors is an integer number (587528760).

Almost surely, 222143100122 is an apocalyptic number.

22143100122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22143100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28201380480).

22143100122 is an abundant number, since it is smaller than the sum of its proper divisors (34259660838).

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

22143100122 is a wasteful number, since it uses less digits than its factorization.

22143100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22143100122 its reverse (22100134122), we get a palindrome (44243234244).

It can be divided in two parts, 22143 and 100122, that added together give a triangular number (122265 = T494).

The spelling of 22143100122 in words is "twenty-two billion, one hundred forty-three million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 2767 3109 5534 6218 8301 9327 16602 18654 24903 27981 30437 34199 35971 40417 49806 55962 60874 68398 71942 80834 91311 102597 107913 121251 182622 205194 215826 242502 273933 307791 323739 363753 395681 444587 547866 615582 647478 727506 791362 889174 1187043 1333761 2374086 2667522 3561129 4001283 7122258 8002566 8602603 17205206 25807809 51615618 77423427 94628633 111833839 154846854 189257266 223667678 283885899 335501517 567771798 671003034 851657697 1006504551 1230172229 1703315394 2013009102 2460344458 3690516687 7381033374 11071550061 22143100122