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2002022210100 = 22352112241228847
BaseRepresentation
bin11101001000100001110…
…100101001101000110100
321002101120100222202201110
4131020201310221220310
5230300120141210400
64131414415555020
7264432656002233
oct35104164515064
97071510882643
102002022210100
11702064388200
1228400922ba70
13116a364b6ab3
146cc8128ab1a
15371257cae50
hex1d221d29a34

2002022210100 has 216 divisors, whose sum is σ = 6393429099904. Its totient is φ = 483322752000.

The previous prime is 2002022210099. The next prime is 2002022210101. The reversal of 2002022210100 is 10122202002.

It is an interprime number because it is at equal distance from previous prime (2002022210099) and next prime (2002022210101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002022210101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8633877 + ... + 8862723.

Almost surely, 22002022210100 is an apocalyptic number.

2002022210100 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 2002022210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196714549952).

2002022210100 is an abundant number, since it is smaller than the sum of its proper divisors (4391406889804).

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

2002022210100 is a wasteful number, since it uses less digits than its factorization.

2002022210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229127 (or 229109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002022210100 its reverse (10122202002), we get a palindrome (2012144412102).

It can be divided in two parts, 2002022 and 210100, that added together give a palindrome (2212122).

The spelling of 2002022210100 in words is "two trillion, two billion, twenty-two million, two hundred ten thousand, one hundred".