Search a number
-
+
100202122011020 = 2255010106100551
BaseRepresentation
bin10110110010001000011111…
…111000110110000110001100
3111010210020012011112112122212
4112302020133320312012030
5101113202421213323040
6553040115214525552
730051235664656301
oct2662103770660614
9433706164475585
10100202122011020
1129a2253267a697
12b2a3a13b068b8
1343bb033c8b833
141aa5b46a6d0a8
15b8b7491a7d65
hex5b221fe3618c

100202122011020 has 12 divisors (see below), whose sum is σ = 210424456223184. Its totient is φ = 40080848804400.

The previous prime is 100202122011007. The next prime is 100202122011053. The reversal of 100202122011020 is 20110221202001.

It is a super-2 number, since 2×1002021220110202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100202122010986 and 100202122011004.

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 3 ways as a sum of consecutive naturals, for example, 2505053050256 + ... + 2505053050295.

It is an arithmetic number, because the mean of its divisors is an integer number (17535371351932).

Almost surely, 2100202122011020 is an apocalyptic number.

100202122011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202122011020 is an abundant number, since it is smaller than the sum of its proper divisors (110222334212164).

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

100202122011020 is a wasteful number, since it uses less digits than its factorization.

100202122011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010106100560 (or 5010106100558 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100202122011020 its reverse (20110221202001), we get a palindrome (120312343213021).

The spelling of 100202122011020 in words is "one hundred trillion, two hundred two billion, one hundred twenty-two million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 5010106100551 10020212201102 20040424402204 25050530502755 50101061005510 100202122011020