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20012211312 = 2432337691709
BaseRepresentation
bin10010101000110100…
…100001110001110000
31220122200111200000120
4102220310201301300
5311441111230222
613105443050240
71305630663252
oct225064416160
956580450016
1020012211312
11853a40a615
123a66070980
131b6c091b72
14d7bb83cd2
157c1d7e15c
hex4a8d21c70

20012211312 has 160 divisors (see below), whose sum is σ = 55562396160. Its totient is φ = 6190525440.

The previous prime is 20012211281. The next prime is 20012211347. The reversal of 20012211312 is 21311221002.

It is a super-2 number, since 2×200122113122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20012211291 and 20012211300.

It is a congruent number.

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, 28225614 + ... + 28226322.

It is an arithmetic number, because the mean of its divisors is an integer number (347264976).

Almost surely, 220012211312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27781198080).

20012211312 is an abundant number, since it is smaller than the sum of its proper divisors (35550184848).

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

20012211312 is a wasteful number, since it uses less digits than its factorization.

20012211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1465 counting only the distinct ones).

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

Adding to 20012211312 its reverse (21311221002), we get a palindrome (41323432314).

The spelling of 20012211312 in words is "twenty billion, twelve million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 552 592 691 709 851 888 1104 1382 1418 1702 1776 2073 2127 2553 2764 2836 3404 4146 4254 5106 5528 5672 6808 8292 8508 10212 11056 11344 13616 15893 16307 16584 17016 20424 25567 26233 31786 32614 33168 34032 40848 47679 48921 51134 52466 63572 65228 76701 78699 95358 97842 102268 104932 127144 130456 153402 157398 190716 195684 204536 209864 254288 260912 306804 314796 381432 391368 409072 419728 489919 588041 603359 613608 629592 762864 782736 979838 1176082 1206718 1227216 1259184 1469757 1764123 1810077 1959676 2352164 2413436 2939514 3528246 3620154 3919352 4704328 4826872 5879028 7056492 7240308 7838704 9408656 9653744 11268137 11758056 14112984 14480616 18127003 22536274 23516112 28225968 28961232 33804411 36254006 45072548 54381009 67608822 72508012 90145096 108762018 135217644 145016024 180290192 217524036 270435288 290032048 416921069 435048072 540870576 833842138 870096144 1250763207 1667684276 2501526414 3335368552 5003052828 6670737104 10006105656 20012211312