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202210100112020 = 22572111310253140731
BaseRepresentation
bin101101111110100010110101…
…001011111110101010010100
3222111222002121112220110000212
4231332202311023332222110
5203001002241112041040
61554022012041024552
760410124533311400
oct5576426513765224
9874862545813025
10202210100112020
11594809049a7a50
121a819809485158
1388aa43b4b2360
1437d1041b38100
151859e37076d65
hexb7e8b52fea94

202210100112020 has 288 divisors, whose sum is σ = 580389571714176. Its totient is φ = 58172242867200.

The previous prime is 202210100111989. The next prime is 202210100112023. The reversal of 202210100112020 is 20211001012202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 202210100111986 and 202210100112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202210100112023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1436785055 + ... + 1436925785.

It is an arithmetic number, because the mean of its divisors is an integer number (2015241568452).

Almost surely, 2202210100112020 is an apocalyptic number.

202210100112020 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 202210100112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290194785857088).

202210100112020 is an abundant number, since it is smaller than the sum of its proper divisors (378179471602156).

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

202210100112020 is a wasteful number, since it uses less digits than its factorization.

202210100112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151031 (or 151022 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202210100112020 its reverse (20211001012202), we get a palindrome (222421101124222).

The spelling of 202210100112020 in words is "two hundred two trillion, two hundred ten billion, one hundred million, one hundred twelve thousand, twenty".