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100224422214201 = 334103399046217
BaseRepresentation
bin10110110010011101010001…
…000101010111101000111001
3111010212100202022022020111000
4112302131101011113220321
5101114034104041323301
6553054244113355213
730052655420402025
oct2662352105275071
9433770668266430
10100224422214201
1129a30a3654937a
12b2a81b8268b09
1343c017907cc2c
141aa6c60637385
15b8c101d35786
hex5b2751157a39

100224422214201 has 16 divisors (see below), whose sum is σ = 148481003764800. Its totient is φ = 66816111258144.

The previous prime is 100224422214179. The next prime is 100224422214223. The reversal of 100224422214201 is 102412224422001.

100224422214201 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 4 + 422 + 214 + 20 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (100224422214179) and next prime (100224422214223).

It is not a de Polignac number, because 100224422214201 - 211 = 100224422212153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100224422214251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6556045 + ... + 15602261.

It is an arithmetic number, because the mean of its divisors is an integer number (9280062735300).

Almost surely, 2100224422214201 is an apocalyptic number.

It is an amenable number.

100224422214201 is a deficient number, since it is larger than the sum of its proper divisors (48256581550599).

100224422214201 is an equidigital number, since it uses as much as digits as its factorization.

100224422214201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9456565 (or 9456559 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 100224422214201 its reverse (102412224422001), we get a palindrome (202636646636202).

The spelling of 100224422214201 in words is "one hundred trillion, two hundred twenty-four billion, four hundred twenty-two million, two hundred fourteen thousand, two hundred one".

Divisors: 1 3 9 27 410339 1231017 3693051 9046217 11079153 27138651 81415953 244247859 3712015637563 11136046912689 33408140738067 100224422214201