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22102021104 = 2436722930011
BaseRepresentation
bin10100100101011000…
…100001001111110000
32010001022212000010020
4110211120201033300
5330231104133404
614053055003440
71411465036212
oct244530411760
963038760106
1022102021104
119412018649
124349b09580
1321130226c7
1410d953a5b2
15895581ed9
hex5256213f0

22102021104 has 80 divisors (see below), whose sum is σ = 58204072320. Its totient is φ = 7225447680.

The previous prime is 22102021061. The next prime is 22102021121. The reversal of 22102021104 is 40112020122.

It is a super-2 number, since 2×221020211042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 721459 + ... + 751469.

It is an arithmetic number, because the mean of its divisors is an integer number (727550904).

Almost surely, 222102021104 is an apocalyptic number.

22102021104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102021104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29102036160).

22102021104 is an abundant number, since it is smaller than the sum of its proper divisors (36102051216).

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

22102021104 is a wasteful number, since it uses less digits than its factorization.

22102021104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30318 (or 30312 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22102021104 its reverse (40112020122), we get a palindrome (62214041226).

The spelling of 22102021104 in words is "twenty-two billion, one hundred two million, twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 229 268 402 458 536 687 804 916 1072 1374 1608 1832 2748 3216 3664 5496 10992 15343 30011 30686 46029 60022 61372 90033 92058 120044 122744 180066 184116 240088 245488 360132 368232 480176 720264 736464 1440528 2010737 4021474 6032211 6872519 8042948 12064422 13745038 16085896 20617557 24128844 27490076 32171792 41235114 48257688 54980152 82470228 96515376 109960304 164940456 329880912 460458773 920917546 1381376319 1841835092 2762752638 3683670184 5525505276 7367340368 11051010552 22102021104