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2002010100212 = 228944269127033
BaseRepresentation
bin11101001000100001000…
…110011101000111110100
321002101112112012112002002
4131020201012131013310
5230300104041201322
64131413304234432
7264432451034363
oct35104106350764
97071475175062
102002010100212
11702058566931
1228400516ba18
13116a33b36a95
146cc7d8177da
15371246d7c92
hex1d22119d1f4

2002010100212 has 24 divisors (see below), whose sum is σ = 3542990963400. Its totient is φ = 989727653376.

The previous prime is 2002010100157. The next prime is 2002010100229. The reversal of 2002010100212 is 2120010102002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 895529112976 + 1106480987236 = 946324^2 + 1051894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2002010100193 and 2002010100202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15696248 + ... + 15823280.

It is an arithmetic number, because the mean of its divisors is an integer number (147624623475).

Almost surely, 22002010100212 is an apocalyptic number.

It is an amenable number.

2002010100212 is a deficient number, since it is larger than the sum of its proper divisors (1540980863188).

2002010100212 is a wasteful number, since it uses less digits than its factorization.

2002010100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171395 (or 171393 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002010100212 its reverse (2120010102002), we get a palindrome (4122020202214).

The spelling of 2002010100212 in words is "two trillion, two billion, ten million, one hundred thousand, two hundred twelve".

Divisors: 1 2 4 89 178 356 44269 88538 127033 177076 254066 508132 3939941 7879882 11305937 15759764 22611874 45223748 5623623877 11247247754 22494495508 500502525053 1001005050106 2002010100212