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21123010104 = 233710310871123
BaseRepresentation
bin10011101011000001…
…111000111000111000
32000112002200002111120
4103223001320320320
5321224442310404
613412003225240
71345306423560
oct235301707070
960462602446
1021123010104
118a5a430149
124116078220
131cb8253b61
1410454d3da0
158396499d9
hex4eb078e38

21123010104 has 128 divisors (see below), whose sum is σ = 61047767040. Its totient is φ = 5965736832.

The previous prime is 21123010081. The next prime is 21123010159. The reversal of 21123010104 is 40101032112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18808887 + ... + 18810009.

It is an arithmetic number, because the mean of its divisors is an integer number (476935680).

Almost surely, 221123010104 is an apocalyptic number.

21123010104 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 21123010104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30523883520).

21123010104 is an abundant number, since it is smaller than the sum of its proper divisors (39924756936).

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

21123010104 is a wasteful number, since it uses less digits than its factorization.

21123010104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21123010104 its reverse (40101032112), we get a palindrome (61224042216).

The spelling of 21123010104 in words is "twenty-one billion, one hundred twenty-three million, ten thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 618 721 824 1087 1123 1236 1442 2163 2174 2246 2472 2884 3261 3369 4326 4348 4492 5768 6522 6738 7609 7861 8652 8696 8984 13044 13476 15218 15722 17304 22827 23583 26088 26952 30436 31444 45654 47166 60872 62888 91308 94332 111961 115669 182616 188664 223922 231338 335883 347007 447844 462676 671766 694014 783727 809683 895688 925352 1220701 1343532 1388028 1567454 1619366 2351181 2429049 2441402 2687064 2776056 3134908 3238732 3662103 4702362 4858098 4882804 6269816 6477464 7324206 8544907 9404724 9716196 9765608 14648412 17089814 18809448 19432392 25634721 29296824 34179628 51269442 68359256 102538884 125732203 205077768 251464406 377196609 502928812 754393218 880125421 1005857624 1508786436 1760250842 2640376263 3017572872 3520501684 5280752526 7041003368 10561505052 21123010104