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112122020010 = 2357211131015281
BaseRepresentation
bin110100001101011111…
…1100100000010101010
3101201101222100202120210
41220122333210002222
53314111214120020
6123301432001550
711046326305500
oct1503277440252
9351358322523
10112122020010
1143606a59160
12198915302b6
13a75b027750
1455d8d62670
152db355e3e0
hex1a1afe40aa

112122020010 has 384 divisors, whose sum is σ = 371462692608. Its totient is φ = 21288960000.

The previous prime is 112122020009. The next prime is 112122020033. The reversal of 112122020010 is 10020221211.

112122020010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1121220200102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21228570 + ... + 21233850.

It is an arithmetic number, because the mean of its divisors is an integer number (967350762).

Almost surely, 2112122020010 is an apocalyptic number.

112122020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112122020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185731346304).

112122020010 is an abundant number, since it is smaller than the sum of its proper divisors (259340672598).

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

112122020010 is a wasteful number, since it uses less digits than its factorization.

112122020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5430 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112122020010 its reverse (10020221211), we get a palindrome (122142241221).

The spelling of 112122020010 in words is "one hundred twelve billion, one hundred twenty-two million, twenty thousand, ten".