Search a number
-
+
100201000220220 = 22351670016670337
BaseRepresentation
bin10110110010000111011101…
…000001100011011000111100
3111010210010021222200122222110
4112302013131001203120330
5101113143122024021340
6553035412023014020
730051166123625214
oct2662073501433074
9433703258618873
10100201000220220
1129a22007431659
12b2a376029a310
1343babb574b5b3
141aa5a7ba9b244
15b8b6d096a680
hex5b21dd06363c

100201000220220 has 24 divisors (see below), whose sum is σ = 280562800616784. Its totient is φ = 26720266725376.

The previous prime is 100201000220213. The next prime is 100201000220221. The reversal of 100201000220220 is 22022000102001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100201000220196 and 100201000220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201000220221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 835008335109 + ... + 835008335228.

It is an arithmetic number, because the mean of its divisors is an integer number (11690116692366).

Almost surely, 2100201000220220 is an apocalyptic number.

100201000220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201000220220 is an abundant number, since it is smaller than the sum of its proper divisors (180361800396564).

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

100201000220220 is a wasteful number, since it uses less digits than its factorization.

100201000220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670016670349 (or 1670016670347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100201000220220 its reverse (22022000102001), we get a palindrome (122223000322221).

The spelling of 100201000220220 in words is "one hundred trillion, two hundred one billion, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1670016670337 3340033340674 5010050011011 6680066681348 8350083351685 10020100022022 16700166703370 20040200044044 25050250055055 33400333406740 50100500110110 100201000220220