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103103212986 = 23319467215183
BaseRepresentation
bin110000000000101101…
…1100010110110111010
3100212010102212220012000
41200001123202312322
53142123410303421
6115210455401430
710306664564454
oct1400133426672
9325112786160
10103103212986
113a7a9091a34
1217b95083276
1399516c1047
144dc12532d4
152a368ba226
hex18016e2dba

103103212986 has 64 divisors (see below), whose sum is σ = 241694668800. Its totient is φ = 32489039088.

The previous prime is 103103212957. The next prime is 103103213029. The reversal of 103103212986 is 689212301301.

103103212986 is a `hidden beast` number, since 10 + 31 + 0 + 321 + 298 + 6 = 666.

It is a super-3 number, since 3×1031032129863 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103103212986.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371551 + ... + 586733.

It is an arithmetic number, because the mean of its divisors is an integer number (3776479200).

Almost surely, 2103103212986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103103212986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120847334400).

103103212986 is an abundant number, since it is smaller than the sum of its proper divisors (138591455814).

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

103103212986 is a wasteful number, since it uses less digits than its factorization.

103103212986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215680 (or 215674 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 103103212986 in words is "one hundred three billion, one hundred three million, two hundred twelve thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 467 513 934 1026 1401 2802 4203 8406 8873 12609 17746 25218 26619 53238 79857 159714 215183 239571 430366 479142 645549 1291098 1936647 3873294 4088477 5809941 8176954 11619882 12265431 24530862 36796293 73592586 100490461 110388879 200980922 220777758 301471383 602942766 904414149 1808828298 1909318759 2713242447 3818637518 5426484894 5727956277 11455912554 17183868831 34367737662 51551606493 103103212986