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102211140040 = 23523819107279
BaseRepresentation
bin101111100110001000…
…0100011100111001000
3100202211021021220011021
41133030100203213020
53133312022440130
6114542151242224
710245613232632
oct1371420434710
9322737256137
10102211140040
113a390584369
1217986379374
13983b941829
144d3899ba52
1529d340737a
hex17cc4239c8

102211140040 has 32 divisors (see below), whose sum is σ = 229986864000. Its totient is φ = 40882358464.

The previous prime is 102211139969. The next prime is 102211140041. The reversal of 102211140040 is 40041112201.

It is a happy number.

102211140040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102211139996 and 102211140023.

It is not an unprimeable number, because it can be changed into a prime (102211140041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 899121 + ... + 1006399.

It is an arithmetic number, because the mean of its divisors is an integer number (7187089500).

Almost surely, 2102211140040 is an apocalyptic number.

102211140040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211140040 is an abundant number, since it is smaller than the sum of its proper divisors (127775723960).

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

102211140040 is a wasteful number, since it uses less digits than its factorization.

102211140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131109 (or 131105 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102211140040 its reverse (40041112201), we get a palindrome (142252252241).

The spelling of 102211140040 in words is "one hundred two billion, two hundred eleven million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 23819 47638 95276 107279 119095 190552 214558 238190 429116 476380 536395 858232 952760 1072790 2145580 4291160 2555278501 5110557002 10221114004 12776392505 20442228008 25552785010 51105570020 102211140040