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1002202221100 = 225246724678699
BaseRepresentation
bin11101001010101111110…
…10000100101000101100
310112210212012021211220111
432211113322010220230
5112410002232033400
62044223315425404
7132256335215503
oct16452772045054
93483765254814
101002202221100
11357039032233
121422975b5264
13736795c7152
1436714b0183a
151b109c713ba
hexe957e84a2c

1002202221100 has 72 divisors (see below), whose sum is σ = 2180569809600. Its totient is φ = 399814355520.

The previous prime is 1002202221089. The next prime is 1002202221109. The reversal of 1002202221100 is 11222022001.

It is a happy number.

1002202221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1002202221109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115204551 + ... + 115213249.

It is an arithmetic number, because the mean of its divisors is an integer number (30285691800).

Almost surely, 21002202221100 is an apocalyptic number.

1002202221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002202221100 is an abundant number, since it is smaller than the sum of its proper divisors (1178367588500).

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

1002202221100 is a wasteful number, since it uses less digits than its factorization.

1002202221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11647 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002202221100 its reverse (11222022001), we get a palindrome (1013424243101).

The spelling of 1002202221100 in words is "one trillion, two billion, two hundred two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 467 934 1868 2335 2467 4670 4934 8699 9340 9868 11675 12335 17398 23350 24670 34796 43495 46700 49340 61675 86990 123350 173980 217475 246700 434950 869900 1152089 2304178 4062433 4608356 5760445 8124866 11520890 16249732 20312165 21460433 23041780 28802225 40624330 42920866 57604450 81248660 85841732 101560825 107302165 115208900 203121650 214604330 406243300 429208660 536510825 1073021650 2146043300 10022022211 20044044422 40088088844 50110111055 100220222110 200440444220 250550555275 501101110550 1002202221100