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22102033122 = 23213101393241
BaseRepresentation
bin10100100101011000…
…100100001011100010
32010001022212121121100
4110211120210023202
5330231110024442
614053055135230
71411465116231
oct244530441342
963038777540
1022102033122
119412026684
124349b14516
132113028010
1410d9540b18
1589558584c
hex5256242e2

22102033122 has 48 divisors (see below), whose sum is σ = 51622873848. Its totient is φ = 6793839360.

The previous prime is 22102033087. The next prime is 22102033169. The reversal of 22102033122 is 22133020122.

22102033122 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10420530561 + 11681502561 = 102081^2 + 108081^2 .

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 = 22102033095 and 22102033104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190422 + ... + 283662.

Almost surely, 222102033122 is an apocalyptic number.

22102033122 is an abundant number, since it is smaller than the sum of its proper divisors (29520840726).

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

22102033122 is a wasteful number, since it uses less digits than its factorization.

22102033122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94275 (or 94272 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22102033122 its reverse (22133020122), we get a palindrome (44235053244).

The spelling of 22102033122 in words is "twenty-two billion, one hundred two million, thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1013 2026 3039 6078 9117 13169 18234 26338 39507 79014 93241 118521 186482 237042 279723 559446 839169 1212133 1678338 2424266 3636399 7272798 10909197 21818394 94453133 188906266 283359399 566718798 850078197 1227890729 1700156394 2455781458 3683672187 7367344374 11051016561 22102033122