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20231010100 = 22527241119923
BaseRepresentation
bin10010110101110111…
…001011011100110100
31221012221012210112101
4102311313023130310
5312413114310400
613143300431444
71314225514510
oct226567133464
957187183471
1020231010100
118641972364
123b073a8584
131ba54cb8c2
14d9cc5b140
157d619d56a
hex4b5dcb734

20231010100 has 72 divisors (see below), whose sum is σ = 50381511488. Its totient is φ = 6907507200.

The previous prime is 20231010077. The next prime is 20231010103. The reversal of 20231010100 is 101013202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231010103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108739 + ... + 228661.

Almost surely, 220231010100 is an apocalyptic number.

20231010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20231010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25190755744).

20231010100 is an abundant number, since it is smaller than the sum of its proper divisors (30150501388).

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

20231010100 is a wasteful number, since it uses less digits than its factorization.

20231010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120185 (or 120178 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 20231010100 its reverse (101013202), we get a palindrome (20332023302).

The spelling of 20231010100 in words is "twenty billion, two hundred thirty-one million, ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 241 350 482 700 964 1205 1687 2410 3374 4820 6025 6748 8435 12050 16870 24100 33740 42175 84350 119923 168700 239846 479692 599615 839461 1199230 1678922 2398460 2998075 3357844 4197305 5996150 8394610 11992300 16789220 20986525 28901443 41973050 57802886 83946100 115605772 144507215 202310101 289014430 404620202 578028860 722536075 809240404 1011550505 1445072150 2023101010 2890144300 4046202020 5057752525 10115505050 20231010100