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103002111312 = 2433169221849
BaseRepresentation
bin101111111101101100…
…1110111110101010000
3100211212101122101202120
41133323121313311100
53141422020030222
6115152444414240
710304326333422
oct1377331676520
9324771571676
10103002111312
113a757008831
1217b67247380
139936782c79
144db1a56812
152a2ca9915c
hex17fb677d50

103002111312 has 40 divisors (see below), whose sum is σ = 274672300800. Its totient is φ = 33226487040.

The previous prime is 103002111287. The next prime is 103002111409. The reversal of 103002111312 is 213111200301.

It is a happy number.

It is a super-3 number, since 3×1030021113123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 103002111291 and 103002111300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34609437 + ... + 34612412.

It is an arithmetic number, because the mean of its divisors is an integer number (6866807520).

Almost surely, 2103002111312 is an apocalyptic number.

103002111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103002111312 is an abundant number, since it is smaller than the sum of its proper divisors (171670189488).

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

103002111312 is a wasteful number, since it uses less digits than its factorization.

103002111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69221891 (or 69221885 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103002111312 its reverse (213111200301), we get a palindrome (316113311613).

The spelling of 103002111312 in words is "one hundred three billion, two million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 69221849 138443698 207665547 276887396 415331094 553774792 830662188 1107549584 1661324376 2145877319 3322648752 4291754638 6437631957 8583509276 12875263914 17167018552 25750527828 34334037104 51501055656 103002111312