Search a number
-
+
100112012100022 = 21331325938112443
BaseRepresentation
bin10110110000110100100100…
…111010110100000110110110
3111010110121121020211202222211
4112300310210322310012312
5101110213400044200042
6552530453510444034
730041565662241436
oct2660644472640666
9433417536752884
10100112012100022
11299982a1a0886a
12b28a46636361a
1343b26a3465880
141aa16393202c6
15b8922336a017
hex5b0d24eb41b6

100112012100022 has 32 divisors (see below), whose sum is σ = 166987386639360. Its totient is φ = 44701320972960.

The previous prime is 100112012100017. The next prime is 100112012100031. The reversal of 100112012100022 is 220001210211001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100112012099975 and 100112012100011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16429468 + ... + 21682975.

It is an arithmetic number, because the mean of its divisors is an integer number (5218355832480).

Almost surely, 2100112012100022 is an apocalyptic number.

100112012100022 is a deficient number, since it is larger than the sum of its proper divisors (66875374539338).

100112012100022 is a wasteful number, since it uses less digits than its factorization.

100112012100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38115748.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100112012100022 its reverse (220001210211001), we get a palindrome (320113222311023).

The spelling of 100112012100022 in words is "one hundred trillion, one hundred twelve billion, twelve million, one hundred thousand, twenty-two".

Divisors: 1 2 13 26 31 62 403 806 3259 6518 42367 84734 101029 202058 1313377 2626754 38112443 76224886 495461759 990923518 1181485733 2362971466 15359314529 30718629058 124208451737 248416903474 1614709872581 3229419745162 3850462003847 7700924007694 50056006050011 100112012100022