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20011270032 = 24321337288913
BaseRepresentation
bin10010101000110000…
…111011111110010000
31220122121201211211100
4102220300323332100
5311440341120112
613105410544400
71305616663065
oct225060737620
956577654740
1020011270032
1185399273a6
123a65898100
131b6bb225b0
14d7b9bac6c
157c1c452dc
hex4a8c3bf90

20011270032 has 120 divisors (see below), whose sum is σ = 61942005944. Its totient is φ = 5990879232.

The previous prime is 20011269989. The next prime is 20011270033. The reversal of 20011270032 is 23007211002.

It can be written as a sum of positive squares in 4 ways, for example, as 1059893136 + 18951376896 = 32556^2 + 137664^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20011269987 and 20011270014.

It is not an unprimeable number, because it can be changed into a prime (20011270033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75193 + ... + 213720.

Almost surely, 220011270032 is an apocalyptic number.

It is an amenable number.

20011270032 is an abundant number, since it is smaller than the sum of its proper divisors (41930735912).

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

20011270032 is a wasteful number, since it uses less digits than its factorization.

20011270032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288977 (or 288968 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 20011270032 its reverse (23007211002), we get a palindrome (43018481034).

The spelling of 20011270032 in words is "twenty billion, eleven million, two hundred seventy thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 37 39 48 52 72 74 78 104 111 117 144 148 156 208 222 234 296 312 333 444 468 481 592 624 666 888 936 962 1332 1443 1776 1872 1924 2664 2886 3848 4329 5328 5772 7696 8658 11544 17316 23088 34632 69264 288913 577826 866739 1155652 1733478 2311304 2600217 3466956 3755869 4622608 5200434 6933912 7511738 10400868 10689781 11267607 13867824 15023476 20801736 21379562 22535214 30046952 32069343 33802821 41603472 42759124 45070428 60093904 64138686 67605642 85518248 90140856 96208029 128277372 135211284 138967153 171036496 180281712 192416058 256554744 270422568 277934306 384832116 416901459 513109488 540845136 555868612 769664232 833802918 1111737224 1250704377 1539328464 1667605836 2223474448 2501408754 3335211672 5002817508 6670423344 10005635016 20011270032