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22121104104 = 23331179117851
BaseRepresentation
bin10100100110100001…
…010100001011101000
32010002122202112002000
4110212201110023220
5330301000312404
614055020011000
71412116165611
oct244641241350
963078675060
1022121104104
119421871a20
124354390a60
132116c74618
1410dbca6c08
158970a1339
hex5268542e8

22121104104 has 128 divisors (see below), whose sum is σ = 67882752000. Its totient is φ = 6618456000.

The previous prime is 22121104099. The next prime is 22121104127. The reversal of 22121104104 is 40140112122.

22121104104 is a `hidden beast` number, since 221 + 21 + 10 + 410 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128779 + ... + 246629.

It is an arithmetic number, because the mean of its divisors is an integer number (530334000).

Almost surely, 222121104104 is an apocalyptic number.

22121104104 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 22121104104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33941376000).

22121104104 is an abundant number, since it is smaller than the sum of its proper divisors (45761647896).

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

22121104104 is a wasteful number, since it uses less digits than its factorization.

22121104104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117956 (or 117946 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22121104104 its reverse (40140112122), we get a palindrome (62261216226).

The spelling of 22121104104 in words is "twenty-two billion, one hundred twenty-one million, one hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 79 88 99 108 132 158 198 216 237 264 297 316 396 474 594 632 711 792 869 948 1188 1422 1738 1896 2133 2376 2607 2844 3476 4266 5214 5688 6952 7821 8532 10428 15642 17064 20856 23463 31284 46926 62568 93852 117851 187704 235702 353553 471404 707106 942808 1060659 1296361 1414212 2121318 2592722 2828424 3181977 3889083 4242636 5185444 6363954 7778166 8485272 9310229 10370888 11667249 12727908 15556332 18620458 23334498 25455816 27930687 31112664 35001747 37240916 46668996 55861374 70003494 74481832 83792061 93337992 102412519 111722748 140006988 167584122 204825038 223445496 251376183 280013976 307237557 335168244 409650076 502752366 614475114 670336488 819300152 921712671 1005504732 1228950228 1843425342 2011009464 2457900456 2765138013 3686850684 5530276026 7373701368 11060552052 22121104104