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1002000111100 = 225241475199793
BaseRepresentation
bin11101001010010111101…
…11000101010111111100
310112210100002222121002221
432211023313011113330
5112404044012023400
62044151255455124
7132251332262512
oct16451367052774
93483302877087
101002000111100
11356a44a38a7a
1214223b9874a4
1373646781631
14366d5d304b2
151b0e714bc1a
hexe94bdc55fc

1002000111100 has 72 divisors (see below), whose sum is σ = 2274764280768. Its totient is φ = 382704691200.

The previous prime is 1002000111097. The next prime is 1002000111103. The reversal of 1002000111100 is 11110002001.

It is an interprime number because it is at equal distance from previous prime (1002000111097) and next prime (1002000111103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002000111103) 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, 2407197 + ... + 2792596.

It is an arithmetic number, because the mean of its divisors is an integer number (31593948344).

Almost surely, 21002000111100 is an apocalyptic number.

1002000111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002000111100 is an abundant number, since it is smaller than the sum of its proper divisors (1272764169668).

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

1002000111100 is a wasteful number, since it uses less digits than its factorization.

1002000111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199895 (or 5199888 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1002000111100 its reverse (11110002001), we get a palindrome (1013110113101).

The spelling of 1002000111100 in words is "one trillion, two billion, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 47 50 82 94 100 164 188 205 235 410 470 820 940 1025 1175 1927 2050 2350 3854 4100 4700 7708 9635 19270 38540 48175 96350 192700 5199793 10399586 20799172 25998965 51997930 103995860 129994825 213191513 244390271 259989650 426383026 488780542 519979300 852766052 977561084 1065957565 1221951355 2131915130 2443902710 4263830260 4887805420 5329787825 6109756775 10020001111 10659575650 12219513550 20040002222 21319151300 24439027100 40080004444 50100005555 100200011110 200400022220 250500027775 501000055550 1002000111100