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100110022012212 = 22325133237059101
BaseRepresentation
bin10110110000110010101110…
…010011001110110100110100
3111010110102110120010211201220
4112300302232103032310310
5101110200311113342322
6552525524220150340
730041465445622242
oct2660625623166464
9433412416124656
10100110022012212
11299974706213a3
12b289bab9983b0
1343b244707c114
141aa14cacc5792
15b891587b455c
hex5b0cae4ced34

100110022012212 has 24 divisors (see below), whose sum is σ = 234520689023712. Its totient is φ = 33237059100000.

The previous prime is 100110022012181. The next prime is 100110022012249. The reversal of 100110022012212 is 212210220011001.

It is a super-3 number, since 3×1001100220122123 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100110022012191 and 100110022012200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16618526539 + ... + 16618532562.

It is an arithmetic number, because the mean of its divisors is an integer number (9771695375988).

Almost surely, 2100110022012212 is an apocalyptic number.

100110022012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110022012212 is an abundant number, since it is smaller than the sum of its proper divisors (134410667011500).

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

100110022012212 is a wasteful number, since it uses less digits than its factorization.

100110022012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33237059359 (or 33237059357 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100110022012212 its reverse (212210220011001), we get a palindrome (312320242023213).

The spelling of 100110022012212 in words is "one hundred trillion, one hundred ten billion, twenty-two million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 251 502 753 1004 1506 3012 33237059101 66474118202 99711177303 132948236404 199422354606 398844709212 8342501834351 16685003668702 25027505503053 33370007337404 50055011006106 100110022012212