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20032100032 = 2674130363
BaseRepresentation
bin10010101010000000…
…011001011011000000
31220201001221010012211
4102222000121123000
5312011204200112
613111433231504
71306262020000
oct225200313300
956631833184
1020032100032
11854a66427a
123a70862594
131b73236739
14d80680000
157c39ac0a7
hex4aa0196c0

20032100032 has 70 divisors (see below), whose sum is σ = 46373994628. Its totient is φ = 8585119872.

The previous prime is 20032099979. The next prime is 20032100041. The reversal of 20032100032 is 23000123002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20032099985 and 20032100021.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 88483 + ... + 218845.

Almost surely, 220032100032 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 20032100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23186997314).

20032100032 is an abundant number, since it is smaller than the sum of its proper divisors (26341894596).

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

20032100032 is an frugal number, since it uses more digits than its factorization.

20032100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130403 (or 130372 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20032100032 its reverse (23000123002), we get a palindrome (43032223034).

The spelling of 20032100032 in words is "twenty billion, thirty-two million, one hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2401 2744 3136 4802 5488 9604 10976 19208 21952 38416 76832 130363 153664 260726 521452 912541 1042904 1825082 2085808 3650164 4171616 6387787 7300328 8343232 12775574 14600656 25551148 29201312 44714509 51102296 58402624 89429018 102204592 178858036 204409184 313001563 357716072 408818368 626003126 715432144 1252006252 1430864288 2504012504 2861728576 5008025008 10016050016 20032100032