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100120220001 = 3211124468889
BaseRepresentation
bin101110100111110100…
…0010101000101100001
3100120102112212011002100
41131033220111011201
53120021234020001
6113554455441013
710143033554064
oct1351750250541
9316375764070
10100120220001
113950828817a
12174a2086169
1395976b2839
144bbadd68db
15290ea85586
hex174fa15161

100120220001 has 6 divisors (see below), whose sum is σ = 144618095570. Its totient is φ = 66746813328.

The previous prime is 100120219973. The next prime is 100120220021. The reversal of 100120220001 is 100022021001.

It can be written as a sum of positive squares in only one way, i.e., 90345931776 + 9774288225 = 300576^2 + 98865^2 .

It is not a de Polignac number, because 100120220001 - 222 = 100116025697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11124468889 = 100120220001 / (1 + 0 + 0 + 1 + 2 + 0 + 2 + 2 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100120220021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5562234436 + ... + 5562234453.

Almost surely, 2100120220001 is an apocalyptic number.

It is an amenable number.

100120220001 is a deficient number, since it is larger than the sum of its proper divisors (44497875569).

100120220001 is a wasteful number, since it uses less digits than its factorization.

100120220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11124468895 (or 11124468892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100120220001 its reverse (100022021001), we get a palindrome (200142241002).

The spelling of 100120220001 in words is "one hundred billion, one hundred twenty million, two hundred twenty thousand, one".

Divisors: 1 3 9 11124468889 33373406667 100120220001