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101111300020 = 2255441929161
BaseRepresentation
bin101111000101010110…
…0111111111110110100
3100122222121202020021201
41132022230333332310
53124033443100040
6114241102022244
710206426604153
oct1361254777664
9318877666251
10101111300020
1139976769275
1217719b77984
1396c4b18913
144c728a159a
15296baa3a9a
hex178ab3ffb4

101111300020 has 24 divisors (see below), whose sum is σ = 212372983368. Its totient is φ = 40437043200.

The previous prime is 101111299999. The next prime is 101111300023. The reversal of 101111300020 is 20003111101.

It can be written as a sum of positive squares in 4 ways, for example, as 34986206116 + 66125093904 = 187046^2 + 257148^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111300023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355761 + ... + 573400.

It is an arithmetic number, because the mean of its divisors is an integer number (8848874307).

Almost surely, 2101111300020 is an apocalyptic number.

101111300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111300020 is an abundant number, since it is smaller than the sum of its proper divisors (111261683348).

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

101111300020 is a wasteful number, since it uses less digits than its factorization.

101111300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934611 (or 934609 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101111300020 its reverse (20003111101), we get a palindrome (121114411121).

It can be divided in two parts, 10111 and 1300020, that added together give a palindrome (1310131).

The spelling of 101111300020 in words is "one hundred one billion, one hundred eleven million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 5441 10882 21764 27205 54410 108820 929161 1858322 3716644 4645805 9291610 18583220 5055565001 10111130002 20222260004 25277825005 50555650010 101111300020