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20010213312 = 263313790863
BaseRepresentation
bin10010101000101100…
…111001111111000000
31220122112202011021120
4102220230321333000
5311440103311222
613105332152240
71305605002215
oct225054717700
956575664246
1020010213312
118539275481
123a65468680
131b6b84260b
14d7b7c3b0c
157c1ad715c
hex4a8b39fc0

20010213312 has 112 divisors (see below), whose sum is σ = 56129236992. Its totient is φ = 6280381440.

The previous prime is 20010213283. The next prime is 20010213347. The reversal of 20010213312 is 21331201002.

It is a junction number, because it is equal to n+sod(n) for n = 20010213291 and 20010213300.

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 15 ways as a sum of consecutive naturals, for example, 174793 + ... + 265655.

Almost surely, 220010213312 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 20010213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28064618496).

20010213312 is an abundant number, since it is smaller than the sum of its proper divisors (36119023680).

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

20010213312 is a wasteful number, since it uses less digits than its factorization.

20010213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90946 (or 90936 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20010213312 its reverse (21331201002), we get a palindrome (41341414314).

The spelling of 20010213312 in words is "twenty billion, ten million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 148 186 192 222 248 296 372 444 496 592 744 888 992 1147 1184 1488 1776 1984 2294 2368 2976 3441 3552 4588 5952 6882 7104 9176 13764 18352 27528 36704 55056 73408 90863 110112 181726 220224 272589 363452 545178 726904 1090356 1453808 2180712 2816753 2907616 3361931 4361424 5633506 5815232 6723862 8450259 8722848 10085793 11267012 13447724 16900518 17445696 20171586 22534024 26895448 33801036 40343172 45068048 53790896 67602072 80686344 90136096 104219861 107581792 135204144 161372688 180272192 208439722 215163584 270408288 312659583 322745376 416879444 540816576 625319166 645490752 833758888 1250638332 1667517776 2501276664 3335035552 5002553328 6670071104 10005106656 20010213312