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1000110001400 = 235247106394681
BaseRepresentation
bin11101000110110110011…
…00111000110011111000
310112121110101102002000222
432203123030320303320
5112341211130021100
62043235540115212
7132153441514556
oct16433314706370
93477411362028
101000110001400
11356165028644
121419b2995b08
1373405001723
1436596cbcbd6
151b036244485
hexe8db338cf8

1000110001400 has 48 divisors (see below), whose sum is σ = 2374729302240. Its totient is φ = 391532422400.

The previous prime is 1000110001399. The next prime is 1000110001463. The reversal of 1000110001400 is 41000110001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53187941 + ... + 53206740.

It is an arithmetic number, because the mean of its divisors is an integer number (49473527130).

Almost surely, 21000110001400 is an apocalyptic number.

1000110001400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000110001400 is an abundant number, since it is smaller than the sum of its proper divisors (1374619300840).

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

1000110001400 is a wasteful number, since it uses less digits than its factorization.

1000110001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106394744 (or 106394735 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000110001400 its reverse (41000110001), we get a palindrome (1041110111401).

The spelling of 1000110001400 in words is "one trillion, one hundred ten million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 4700 9400 106394681 212789362 425578724 531973405 851157448 1063946810 2127893620 2659867025 4255787240 5000550007 5319734050 10001100014 10639468100 20002200028 21278936200 25002750035 40004400056 50005500070 100011000140 125013750175 200022000280 250027500350 500055000700 1000110001400