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10102010112 = 28324384553
BaseRepresentation
bin10010110100010000…
…00111000100000000
3222002000201021200200
421122020013010000
5131142103310422
64350225045200
7505223445345
oct113210070400
928060637620
1010102010112
114314359797
121b5b186800
13c4cb85b9c
146bb9187cc
153e1d0d2ac
hex25a207100

10102010112 has 54 divisors (see below), whose sum is σ = 29126592222. Its totient is φ = 3367335936.

The previous prime is 10102010089. The next prime is 10102010119. The reversal of 10102010112 is 21101020101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9710919936 + 391090176 = 98544^2 + 19776^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10102010094 and 10102010103.

It is not an unprimeable number, because it can be changed into a prime (10102010119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2189973 + ... + 2194580.

Almost surely, 210102010112 is an apocalyptic number.

10102010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102010112 is an abundant number, since it is smaller than the sum of its proper divisors (19024582110).

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

10102010112 is an equidigital number, since it uses as much as digits as its factorization.

10102010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384575 (or 4384558 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10102010112 its reverse (21101020101), we get a palindrome (31203030213).

The spelling of 10102010112 in words is "ten billion, one hundred two million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4384553 8769106 13153659 17538212 26307318 35076424 39460977 52614636 70152848 78921954 105229272 140305696 157843908 210458544 280611392 315687816 420917088 561222784 631375632 841834176 1122445568 1262751264 1683668352 2525502528 3367336704 5051005056 10102010112