Search a number
-
+
100122221022102 = 235206012800457
BaseRepresentation
bin10110110000111110000101…
…011010110000101110010110
3111010111120221201201202100000
4112300332011122300232112
5101110400302040201402
6552535302515232130
730042406654530606
oct2660760532605626
9433446851652300
10100122221022102
11299a166064a054
12b2904352a8646
1343b363c512376
141aa1d27108c06
15b8961e745c1c
hex5b0f856b0b96

100122221022102 has 24 divisors (see below), whose sum is σ = 224965978100136. Its totient is φ = 33374073673872.

The previous prime is 100122221022077. The next prime is 100122221022107. The reversal of 100122221022102 is 201220122221001.

It is a happy number.

100122221022102 is a `hidden beast` number, since 10 + 0 + 1 + 222 + 210 + 221 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122221022107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103006399743 + ... + 103006400714.

It is an arithmetic number, because the mean of its divisors is an integer number (9373582420839).

Almost surely, 2100122221022102 is an apocalyptic number.

100122221022102 is an abundant number, since it is smaller than the sum of its proper divisors (124843757078034).

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

100122221022102 is an equidigital number, since it uses as much as digits as its factorization.

100122221022102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206012800474 (or 206012800462 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100122221022102 its reverse (201220122221001), we get a palindrome (301342343243103).

The spelling of 100122221022102 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty-one million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 206012800457 412025600914 618038401371 1236076802742 1854115204113 3708230408226 5562345612339 11124691224678 16687036837017 33374073674034 50061110511051 100122221022102