Search a number
-
+
100212112202022 = 2339471959640819
BaseRepresentation
bin10110110010010001110011…
…010110011001100100100110
3111010211011222101211211101000
4112302101303112121210212
5101113333401210431042
6553044450411214130
730052041363125502
oct2662216326314446
9433734871754330
10100212112202022
1129a267998a4a97
12b2a5941747346
1343bbc66923362
141aa641379b302
15b8bb3127974c
hex5b2473599926

100212112202022 has 32 divisors (see below), whose sum is σ = 222928739683200. Its totient is φ = 33368763848904.

The previous prime is 100212112201897. The next prime is 100212112202087. The reversal of 100212112202022 is 220202211212001.

It is a happy number.

100212112202022 is a `hidden beast` number, since 10 + 0 + 21 + 211 + 220 + 202 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100212112201986 and 100212112202004.

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, 979769272 + ... + 979871547.

It is an arithmetic number, because the mean of its divisors is an integer number (6966523115100).

Almost surely, 2100212112202022 is an apocalyptic number.

100212112202022 is an abundant number, since it is smaller than the sum of its proper divisors (122716627481178).

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

100212112202022 is a wasteful number, since it uses less digits than its factorization.

100212112202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959641777 (or 1959641771 counting only the distinct ones).

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

Adding to 100212112202022 its reverse (220202211212001), we get a palindrome (320414323414023).

The spelling of 100212112202022 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, two hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 947 1894 2841 5682 8523 17046 25569 51138 1959640819 3919281638 5878922457 11757844914 17636767371 35273534742 52910302113 105820604226 1855779855593 3711559711186 5567339566779 11134679133558 16702018700337 33404037400674 50106056101011 100212112202022