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20110010100 = 22352619108293
BaseRepresentation
bin10010101110101001…
…100110011011110100
31220220111112100201220
4102232221212123310
5312141130310400
613123255150340
71311226160025
oct225651463364
956814470656
1020110010100
11858a638264
123a929753b0
131b8641477b
14d8ab60c4c
157ca74b7a0
hex4aea666f4

20110010100 has 72 divisors (see below), whose sum is σ = 58279499040. Its totient is φ = 5353956480.

The previous prime is 20110010087. The next prime is 20110010113. The reversal of 20110010100 is 101001102.

It is an interprime number because it is at equal distance from previous prime (20110010087) and next prime (20110010113).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 131554 + ... + 239846.

Almost surely, 220110010100 is an apocalyptic number.

20110010100 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 20110010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29139749520).

20110010100 is an abundant number, since it is smaller than the sum of its proper divisors (38169488940).

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

20110010100 is a wasteful number, since it uses less digits than its factorization.

20110010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108929 (or 108922 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 20110010100 its reverse (101001102), we get a palindrome (20211011202).

The spelling of 20110010100 in words is "twenty billion, one hundred ten million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 619 1238 1857 2476 3095 3714 6190 7428 9285 12380 15475 18570 30950 37140 46425 61900 92850 108293 185700 216586 324879 433172 541465 649758 1082930 1299516 1624395 2165860 2707325 3248790 5414650 6497580 8121975 10829300 16243950 32487900 67033367 134066734 201100101 268133468 335166835 402200202 670333670 804400404 1005500505 1340667340 1675834175 2011001010 3351668350 4022002020 5027502525 6703336700 10055005050 20110010100