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2103400100 = 225273288137
BaseRepresentation
bin111110101011111…
…0101011010100100
312102120220210111102
41331113311122210
513301432300400
6544415055232
7103060414544
oct17527653244
95376823442
102103400100
1198a35069a
124a8511518
13276a0b659
1415d4d3324
15c49d99d5
hex7d5f56a4

2103400100 has 36 divisors (see below), whose sum is σ = 4626920004. Its totient is φ = 829831680.

The previous prime is 2103400069. The next prime is 2103400129. The reversal of 2103400100 is 10043012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 109956196 + 1993443904 = 10486^2 + 44648^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136769 + ... + 151368.

Almost surely, 22103400100 is an apocalyptic number.

2103400100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2103400100 is an abundant number, since it is smaller than the sum of its proper divisors (2523519904).

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

2103400100 is a wasteful number, since it uses less digits than its factorization.

2103400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288224 (or 288217 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2103400100 is about 45862.8400777797. The cubic root of 2103400100 is about 1281.2699188654.

Adding to 2103400100 its reverse (10043012), we get a palindrome (2113443112).

The spelling of 2103400100 in words is "two billion, one hundred three million, four hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 288137 576274 1152548 1440685 2881370 5762740 7203425 14406850 21034001 28813700 42068002 84136004 105170005 210340010 420680020 525850025 1051700050 2103400100