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100042214301 = 3211115801589
BaseRepresentation
bin101110100101011111…
…0110000101110011101
3100120020010002001101100
41131022332300232131
53114341301324201
6113543031503313
710141065535161
oct1351276605635
9316203061340
10100042214301
1139478249357
121747bb27b39
1395844a0113
144bb08ccca1
152907cc7886
hex174afb0b9d

100042214301 has 6 divisors (see below), whose sum is σ = 144505420670. Its totient is φ = 66694809528.

The previous prime is 100042214291. The next prime is 100042214323. The reversal of 100042214301 is 103412240001.

100042214301 is a `hidden beast` number, since 10 + 0 + 0 + 4 + 221 + 430 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56513651076 + 43528563225 = 237726^2 + 208635^2 .

It is a de Polignac number, because none of the positive numbers 2k-100042214301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100042214401) 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, 5557900786 + ... + 5557900803.

Almost surely, 2100042214301 is an apocalyptic number.

It is an amenable number.

100042214301 is a deficient number, since it is larger than the sum of its proper divisors (44463206369).

100042214301 is a wasteful number, since it uses less digits than its factorization.

100042214301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11115801595 (or 11115801592 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100042214301 its reverse (103412240001), we get a palindrome (203454454302).

The spelling of 100042214301 in words is "one hundred billion, forty-two million, two hundred fourteen thousand, three hundred one".

Divisors: 1 3 9 11115801589 33347404767 100042214301