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1002220102100 = 225273547403649
BaseRepresentation
bin11101001010110001111…
…10010010000111010100
310112210220102221022000202
432211120332102013110
5112410021321231400
62044225155000032
7132256643210630
oct16453076220724
93483812838022
101002220102100
11357048135518
121422a1599018
1373680217c19
1436717237dc0
151b10b6044d5
hexe958f921d4

1002220102100 has 72 divisors (see below), whose sum is σ = 2486212747200. Its totient is φ = 343520593920.

The previous prime is 1002220102099. The next prime is 1002220102111. The reversal of 1002220102100 is 12010222001.

It is a happy number.

1002220102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2281076 + ... + 2684724.

It is an arithmetic number, because the mean of its divisors is an integer number (34530732600).

Almost surely, 21002220102100 is an apocalyptic number.

1002220102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002220102100 is an abundant number, since it is smaller than the sum of its proper divisors (1483992645100).

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

1002220102100 is a wasteful number, since it uses less digits than its factorization.

1002220102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407217 (or 407210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002220102100 its reverse (12010222001), we get a palindrome (1014230324101).

The spelling of 1002220102100 in words is "one trillion, two billion, two hundred twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 3547 7094 14188 17735 24829 35470 49658 70940 88675 99316 124145 177350 248290 354700 403649 496580 620725 807298 1241450 1614596 2018245 2482900 2825543 4036490 5651086 8072980 10091225 11302172 14127715 20182450 28255430 40364900 56510860 70638575 141277150 282554300 1431743003 2863486006 5726972012 7158715015 10022201021 14317430030 20044402042 28634860060 35793575075 40088804084 50111005105 71587150150 100222010210 143174300300 200444020420 250555025525 501110051050 1002220102100