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20013576100 = 2252737376651
BaseRepresentation
bin10010101000111001…
…101110111110100100
31220122210002000011021
4102220321232332210
5311441433413400
613105532220524
71305645406240
oct225071567644
956583060137
1020013576100
118540161a41
123a6660a744
131b6c44c12b
14d7c01b420
157c204d71a
hex4a8e6efa4

20013576100 has 72 divisors (see below), whose sum is σ = 49767384128. Its totient is φ = 6843312000.

The previous prime is 20013576073. The next prime is 20013576139. The reversal of 20013576100 is 167531002.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 222775 + ... + 299425.

Almost surely, 220013576100 is an apocalyptic number.

20013576100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20013576100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24883692064).

20013576100 is an abundant number, since it is smaller than the sum of its proper divisors (29753808028).

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

20013576100 is a wasteful number, since it uses less digits than its factorization.

20013576100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77045 (or 77038 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The spelling of 20013576100 in words is "twenty billion, thirteen million, five hundred seventy-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 373 700 746 1492 1865 2611 3730 5222 7460 9325 10444 13055 18650 26110 37300 52220 65275 76651 130550 153302 261100 306604 383255 536557 766510 1073114 1533020 1916275 2146228 2682785 3832550 5365570 7665100 10731140 13413925 26827850 28590823 53655700 57181646 114363292 142954115 200135761 285908230 400271522 571816460 714770575 800543044 1000678805 1429541150 2001357610 2859082300 4002715220 5003394025 10006788050 20013576100