Search a number
-
+
20100101100 = 2235267000337
BaseRepresentation
bin10010101110000011…
…110011001111101100
31220212210212221010220
4102232003303033230
5312131111213400
613122302531340
71311046016562
oct225603631754
956783787126
1020100101100
118584a8a502
123a8b596b50
131b84355461
14d89701a32
157c99407a0
hex4ae0f33ec

20100101100 has 36 divisors (see below), whose sum is σ = 58156293384. Its totient is φ = 5360026880.

The previous prime is 20100101059. The next prime is 20100101101. The reversal of 20100101100 is 110100102.

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 not an unprimeable number, because it can be changed into a prime (20100101101) by changing a digit.

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, 33499869 + ... + 33500468.

It is an arithmetic number, because the mean of its divisors is an integer number (1615452594).

Almost surely, 220100101100 is an apocalyptic number.

20100101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100101100 is an abundant number, since it is smaller than the sum of its proper divisors (38056192284).

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

20100101100 is a wasteful number, since it uses less digits than its factorization.

20100101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67000354 (or 67000347 counting only the distinct ones).

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

Adding to 20100101100 its reverse (110100102), we get a palindrome (20210201202).

The spelling of 20100101100 in words is "twenty billion, one hundred million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 67000337 134000674 201001011 268001348 335001685 402002022 670003370 804004044 1005005055 1340006740 1675008425 2010010110 3350016850 4020020220 5025025275 6700033700 10050050550 20100101100