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20010112122 = 237111310132987
BaseRepresentation
bin10010101000101100…
…100001010001111010
31220122112120000110210
4102220230201101322
5311440042041442
613105330051550
71305604101210
oct225054412172
956575500423
1020010112122
118539206450
123a65419bb6
131b6b808540
14d7b798cb0
157c1ab719c
hex4a8b2147a

20010112122 has 128 divisors (see below), whose sum is σ = 54267107328. Its totient is φ = 4749984000.

The previous prime is 20010112103. The next prime is 20010112127. The reversal of 20010112122 is 22121101002.

It is a super-2 number, since 2×200101121222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20010112098 and 20010112107.

It is not an unprimeable number, because it can be changed into a prime (20010112127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590113 + ... + 623099.

It is an arithmetic number, because the mean of its divisors is an integer number (423961776).

Almost surely, 220010112122 is an apocalyptic number.

20010112122 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 20010112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27133553664).

20010112122 is an abundant number, since it is smaller than the sum of its proper divisors (34256995206).

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

20010112122 is a wasteful number, since it uses less digits than its factorization.

20010112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33124.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20010112122 its reverse (22121101002), we get a palindrome (42131213124).

The spelling of 20010112122 in words is "twenty billion, ten million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 101 143 154 182 202 231 273 286 303 429 462 546 606 707 858 1001 1111 1313 1414 2002 2121 2222 2626 3003 3333 3939 4242 6006 6666 7777 7878 9191 14443 15554 18382 23331 27573 28886 32987 43329 46662 55146 65974 86658 98961 101101 197922 202202 230909 303303 362857 428831 461818 606606 692727 725714 857662 1088571 1286493 1385454 2177142 2539999 2572986 3001817 3331687 4717141 5079998 6003634 6663374 7619997 9005451 9434282 9995061 14151423 15239994 18010902 19990122 23321809 28302846 33019987 36648557 43311931 46643618 66039974 69965427 73297114 86623862 99059961 109945671 129935793 139930854 198119922 219891342 256539899 259871586 303183517 476431241 513079798 606367034 769619697 909550551 952862482 1429293723 1539239394 1819101102 2858587446 3335018687 6670037374 10005056061 20010112122