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100211110002 = 2326191266949
BaseRepresentation
bin101110101010100001…
…1000011000001110010
3100120122212212211201200
41131111003003001302
53120213021010002
6114011503512030
710145216244363
oct1352503030162
9316585784650
10100211110002
1139554617183
12175085b8616
1395b04868c3
144bc90d5b6a
152917a3ab1c
hex17550c3072

100211110002 has 24 divisors (see below), whose sum is σ = 220683485100. Its totient is φ = 32856101280.

The previous prime is 100211109997. The next prime is 100211110037. The reversal of 100211110002 is 200011112001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81510821001 + 18700289001 = 285501^2 + 136749^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45632377 + ... + 45634572.

Almost surely, 2100211110002 is an apocalyptic number.

100211110002 is an abundant number, since it is smaller than the sum of its proper divisors (120472375098).

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

100211110002 is a wasteful number, since it uses less digits than its factorization.

100211110002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91267018 (or 91267015 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100211110002 its reverse (200011112001), we get a palindrome (300222222003).

The spelling of 100211110002 in words is "one hundred billion, two hundred eleven million, one hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 91266949 182533898 273800847 547601694 821402541 1642805082 5567283889 11134567778 16701851667 33403703334 50105555001 100211110002