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102002001400 = 23521339231539
BaseRepresentation
bin101111011111111001…
…0110000010111111000
3100202021200202112212201
41132333302300113320
53132400003021100
6114505320515544
710240463464165
oct1367762602770
9322250675781
10102002001400
113a29351a412
121792831bbb4
139807507a60
144d18cbb06c
1529bed9536a
hex17bfcb05f8

102002001400 has 48 divisors (see below), whose sum is σ = 255397325400. Its totient is φ = 37662276480.

The previous prime is 102002001349. The next prime is 102002001473. The reversal of 102002001400 is 4100200201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19613170 + ... + 19618369.

Almost surely, 2102002001400 is an apocalyptic number.

102002001400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002001400 is an abundant number, since it is smaller than the sum of its proper divisors (153395324000).

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

102002001400 is a wasteful number, since it uses less digits than its factorization.

102002001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39231568 (or 39231559 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102002001400 its reverse (4100200201), we get a palindrome (106102201601).

The spelling of 102002001400 in words is "one hundred two billion, two million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 39231539 78463078 156926156 196157695 313852312 392315390 510010007 784630780 980788475 1020020014 1569261560 1961576950 2040040028 2550050035 3923153900 4080080056 5100100070 7846307800 10200200140 12750250175 20400400280 25500500350 51001000700 102002001400