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1000011131020 = 2251123571928513
BaseRepresentation
bin11101000110101010100…
…11101110100010001100
310112121012111100221101001
432203111103232202030
5112341010322143040
62043222045030044
7132151131235666
oct16432523564214
93477174327331
101000011131020
11356114238890
12141985855324
13733ba695145
1436587b03536
151b02c71459a
hexe8d54ee88c

1000011131020 has 48 divisors (see below), whose sum is σ = 2291907750048. Its totient is φ = 363485941760.

The previous prime is 1000011131017. The next prime is 1000011131069. The reversal of 1000011131020 is 201311100001.

1000011131020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1000011130988 and 1000011131006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445717 + ... + 1482796.

It is an arithmetic number, because the mean of its divisors is an integer number (47748078126).

Almost surely, 21000011131020 is an apocalyptic number.

1000011131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000011131020 is an abundant number, since it is smaller than the sum of its proper divisors (1291896619028).

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

1000011131020 is a wasteful number, since it uses less digits than its factorization.

1000011131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930890 (or 1930888 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1000011131020 its reverse (201311100001), we get a palindrome (1201322231021).

The spelling of 1000011131020 in words is "one trillion, eleven million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2357 4714 9428 11785 23570 25927 47140 51854 103708 129635 259270 518540 1928513 3857026 7714052 9642565 19285130 21213643 38570260 42427286 84854572 106068215 212136430 424272860 4545505141 9091010282 18182020564 22727525705 45455051410 50000556551 90910102820 100001113102 200002226204 250002782755 500005565510 1000011131020