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20201000032 = 2519295321617
BaseRepresentation
bin10010110100000100…
…101100110001100000
31221010211202010110101
4102310010230301200
5312332424000112
613140305312144
71313412444553
oct226404546140
957124663411
1020201000032
118626a35354
123ab9335654
131b9c222175
14d98c8869a
157d3721757
hex4b412cc60

20201000032 has 96 divisors (see below), whose sum is σ = 44126661600. Its totient is φ = 9064194048.

The previous prime is 20201000009. The next prime is 20201000047. The reversal of 20201000032 is 23000010202.

It is a junction number, because it is equal to n+sod(n) for n = 20200999982 and 20201000018.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 923688 + ... + 945304.

It is an arithmetic number, because the mean of its divisors is an integer number (459652725).

Almost surely, 220201000032 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 20201000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063330800).

20201000032 is an abundant number, since it is smaller than the sum of its proper divisors (23925661568).

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

20201000032 is a wasteful number, since it uses less digits than its factorization.

20201000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21728 (or 21720 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20201000032 its reverse (23000010202), we get a palindrome (43201010234).

The spelling of 20201000032 in words is "twenty billion, two hundred one million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 19 29 32 38 53 58 76 106 116 152 212 232 304 424 464 551 608 848 928 1007 1102 1537 1696 2014 2204 3074 4028 4408 6148 8056 8816 12296 16112 17632 21617 24592 29203 32224 43234 49184 58406 86468 116812 172936 233624 345872 410723 467248 626893 691744 821446 934496 1145701 1253786 1642892 2291402 2507572 3285784 4582804 5015144 6571568 9165608 10030288 11910967 13143136 18331216 20060576 21768319 23821934 33225329 36662432 43536638 47643868 66450658 87073276 95287736 132901316 174146552 190575472 265802632 348293104 381150944 531605264 631281251 696586208 1063210528 1262562502 2525125004 5050250008 10100500016 20201000032