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20023311312 = 2432373899661
BaseRepresentation
bin10010101001011110…
…110111101111010000
31220200110101121100200
4102221132313233100
5312001431430222
613110521015200
71306124223624
oct225136675720
956613347320
1020023311312
118545701174
123a69924500
131b7147a304
14d7d433184
157c2d22eac
hex4a97b7bd0

20023311312 has 120 divisors (see below), whose sum is σ = 57705908520. Its totient is φ = 6476682240.

The previous prime is 20023311289. The next prime is 20023311337. The reversal of 20023311312 is 21311332002.

20023311312 is a `hidden beast` number, since 20 + 0 + 2 + 331 + 1 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 182898576 + 19840412736 = 13524^2 + 140856^2 .

It is a super-2 number, since 2×200233113122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2067762 + ... + 2077422.

It is an arithmetic number, because the mean of its divisors is an integer number (480882571).

Almost surely, 220023311312 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 20023311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28852954260).

20023311312 is an abundant number, since it is smaller than the sum of its proper divisors (37682597208).

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

20023311312 is a wasteful number, since it uses less digits than its factorization.

20023311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10101 (or 10092 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20023311312 its reverse (21311332002), we get a palindrome (41334643314).

The spelling of 20023311312 in words is "twenty billion, twenty-three million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 389 444 592 666 778 888 1167 1332 1556 1776 2334 2664 3112 3501 4668 5328 6224 7002 9336 9661 14004 14393 18672 19322 28008 28786 28983 38644 43179 56016 57572 57966 77288 86358 86949 115144 115932 129537 154576 172716 173898 230288 231864 259074 345432 347796 357457 463728 518148 690864 695592 714914 1036296 1072371 1391184 1429828 2072592 2144742 2859656 3217113 3758129 4289484 5719312 6434226 7516258 8578968 11274387 12868452 15032516 17157936 22548774 25736904 30065032 33823161 45097548 51473808 60130064 67646322 90195096 135292644 139050773 180390192 270585288 278101546 417152319 541170576 556203092 834304638 1112406184 1251456957 1668609276 2224812368 2502913914 3337218552 5005827828 6674437104 10011655656 20023311312