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102110010012 = 223229752313001
BaseRepresentation
bin101111100011000111…
…0110001101010011100
3100202120012222221211200
41133012032301222130
53133110130310022
6114524135515500
710243244523123
oct1370616615234
9322505887750
10102110010012
113a33949092a
1217958528b90
1398239c388a
144d29394aba
1529c95ccbac
hex17c63b1a9c

102110010012 has 72 divisors (see below), whose sum is σ = 267067841040. Its totient is φ = 32856096000.

The previous prime is 102110010001. The next prime is 102110010017. The reversal of 102110010012 is 210010011201.

It is a happy number.

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 = 102110009976 and 102110010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110010017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7847512 + ... + 7860512.

It is an arithmetic number, because the mean of its divisors is an integer number (3709275570).

Almost surely, 2102110010012 is an apocalyptic number.

102110010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102110010012 is an abundant number, since it is smaller than the sum of its proper divisors (164957831028).

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

102110010012 is a wasteful number, since it uses less digits than its factorization.

102110010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20563 (or 20558 counting only the distinct ones).

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

Adding to 102110010012 its reverse (210010011201), we get a palindrome (312120021213).

The spelling of 102110010012 in words is "one hundred two billion, one hundred ten million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 7523 13001 15046 22569 26002 30092 39003 45138 52004 67707 78006 90276 117009 135414 156012 218167 234018 270828 377029 436334 468036 654501 754058 872668 1131087 1309002 1508116 1963503 2262174 2618004 3393261 3927006 4524348 6786522 7854012 13573044 97806523 195613046 293419569 391226092 586839138 880258707 1173678276 1760517414 2836389167 3521034828 5672778334 8509167501 11345556668 17018335002 25527502503 34036670004 51055005006 102110010012