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103023012312 = 233211266348847
BaseRepresentation
bin101111111110010100…
…1100110100111011000
3100211220211222021112200
41133330221212213120
53141442342343222
6115154512410200
710305002104323
oct1377451464730
9324824867480
10103023012312
113a767893a90
1217b72246960
13993abc051c
144db47377ba
152a2e826eac
hex17fca669d8

103023012312 has 96 divisors (see below), whose sum is σ = 304506708480. Its totient is φ = 31206732480.

The previous prime is 103023012299. The next prime is 103023012329. The reversal of 103023012312 is 213210320301.

103023012312 is a `hidden beast` number, since 10 + 302 + 30 + 12 + 312 = 666.

It is a super-2 number, since 2×1030230123122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2084673 + ... + 2133519.

It is an arithmetic number, because the mean of its divisors is an integer number (3171944880).

Almost surely, 2103023012312 is an apocalyptic number.

103023012312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103023012312 is an abundant number, since it is smaller than the sum of its proper divisors (201483696168).

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

103023012312 is a wasteful number, since it uses less digits than its factorization.

103023012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51533 (or 51526 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103023012312 its reverse (213210320301), we get a palindrome (316233332613).

The spelling of 103023012312 in words is "one hundred three billion, twenty-three million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2663 5326 7989 10652 15978 21304 23967 29293 31956 47934 48847 58586 63912 87879 95868 97694 117172 146541 175758 191736 195388 234344 263637 293082 351516 390776 439623 527274 537317 586164 703032 879246 1054548 1074634 1172328 1611951 1758492 2109096 2149268 3223902 3516984 4298536 4835853 6447804 9671706 12895608 19343412 38686824 130079561 260159122 390238683 520318244 780477366 1040636488 1170716049 1430875171 1560954732 2341432098 2861750342 3121909464 4292625513 4682864196 5723500684 8585251026 9365728392 11447001368 12877876539 17170502052 25755753078 34341004104 51511506156 103023012312