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102412275372 = 223311787109537
BaseRepresentation
bin101111101100000111…
…1110100111010101100
3100210100021202121222000
41133120033310322230
53134220020302442
6115014134252300
710253604656211
oct1373017647254
9323307677860
10102412275372
113a484072310
1217a217b7090
139871505814
144d57597b08
1529e5dd7d4c
hex17d83f4eac

102412275372 has 96 divisors (see below), whose sum is σ = 290021571840. Its totient is φ = 30994306560.

The previous prime is 102412275367. The next prime is 102412275377. The reversal of 102412275372 is 273572214201.

102412275372 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 12 + 275 + 372 = 666.

It is an interprime number because it is at equal distance from previous prime (102412275367) and next prime (102412275377).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102412275377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880188 + ... + 989724.

It is an arithmetic number, because the mean of its divisors is an integer number (3021058040).

Almost surely, 2102412275372 is an apocalyptic number.

102412275372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102412275372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145010785920).

102412275372 is an abundant number, since it is smaller than the sum of its proper divisors (187609296468).

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

102412275372 is a wasteful number, since it uses less digits than its factorization.

102412275372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110348 (or 110340 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 102412275372 its reverse (273572214201), we get a palindrome (375984489573).

The spelling of 102412275372 in words is "one hundred two billion, four hundred twelve million, two hundred seventy-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 787 1188 1574 2361 3148 4722 7083 8657 9444 14166 17314 21249 25971 28332 34628 42498 51942 77913 84996 103884 109537 155826 219074 233739 311652 328611 438148 467478 657222 934956 985833 1204907 1314444 1971666 2409814 2957499 3614721 3943332 4819628 5914998 7229442 10844163 11829996 14458884 21688326 32532489 43376652 65064978 86205619 130129956 172411238 258616857 344822476 517233714 775850571 948261809 1034467428 1551701142 1896523618 2327551713 2844785427 3103402284 3793047236 4655103426 5689570854 8534356281 9310206852 11379141708 17068712562 25603068843 34137425124 51206137686 102412275372