Search a number
-
+
102201011220000 = 2535471122121431
BaseRepresentation
bin10111001111001110000110…
…111110000010111000100000
3111101212022200012020100210210
4113033032012332002320200
5101343430132333020000
61001210255115454120
730345531221625510
oct2717160676027040
9441768605210723
10102201011220000
112a623229505770
12b5672a7a57340
13450468b3645c4
141b347abbb1840
15bc37398bc350
hex5cf386f82e20

102201011220000 has 480 divisors, whose sum is σ = 417961274379264. Its totient is φ = 21236572800000.

The previous prime is 102201011219999. The next prime is 102201011220059. The reversal of 102201011220000 is 22110102201.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 79 ways as a sum of consecutive naturals, for example, 6440716 + ... + 15680715.

Almost surely, 2102201011220000 is an apocalyptic number.

102201011220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201011220000 is an abundant number, since it is smaller than the sum of its proper divisors (315760263159264).

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

102201011220000 is a wasteful number, since it uses less digits than its factorization.

102201011220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22121482 (or 22121459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102201011220000 its reverse (22110102201), we get a palindrome (102223121322201).

The spelling of 102201011220000 in words is "one hundred two trillion, two hundred one billion, eleven million, two hundred twenty thousand".