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20213241100 = 225213101153947
BaseRepresentation
bin10010110100110011…
…011001010100001100
31221011200210001001021
4102310303121110030
5312344042203400
613141423523524
71313621500033
oct226463312414
957150701037
1020213241100
118632936238
123b014595a4
131ba1919ac0
14d9a75371a
157d483d71a
hex4b4cd950c

20213241100 has 72 divisors (see below), whose sum is σ = 47704790448. Its totient is φ = 7389408000.

The previous prime is 20213241089. The next prime is 20213241107. The reversal of 20213241100 is 114231202.

It is not an unprimeable number, because it can be changed into a prime (20213241107) 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, 54327 + ... + 208273.

It is an arithmetic number, because the mean of its divisors is an integer number (662566534).

Almost surely, 220213241100 is an apocalyptic number.

20213241100 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 20213241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23852395224).

20213241100 is an abundant number, since it is smaller than the sum of its proper divisors (27491549348).

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

20213241100 is a wasteful number, since it uses less digits than its factorization.

20213241100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154075 (or 154068 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20213241100 its reverse (114231202), we get a palindrome (20327472302).

The spelling of 20213241100 in words is "twenty billion, two hundred thirteen million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 130 202 260 325 404 505 650 1010 1300 1313 2020 2525 2626 5050 5252 6565 10100 13130 26260 32825 65650 131300 153947 307894 615788 769735 1539470 2001311 3078940 3848675 4002622 7697350 8005244 10006555 15394700 15548647 20013110 31097294 40026220 50032775 62194588 77743235 100065550 155486470 200131100 202132411 310972940 388716175 404264822 777432350 808529644 1010662055 1554864700 2021324110 4042648220 5053310275 10106620550 20213241100