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103998999978 = 23317881128591
BaseRepresentation
bin110000011011011010…
…0101100110110101010
3100221102212110120221000
41200312310230312222
53200442220444403
6115435415255430
710341122625366
oct1406664546652
9327385416830
10103998999978
11401187a6a65
12181a507a576
139a65170c13
1450681d42a6
152a8a3637a3
hex1836d2cdaa

103998999978 has 64 divisors (see below), whose sum is σ = 244983191040. Its totient is φ = 32589849600.

The previous prime is 103998999967. The next prime is 103998999991. The reversal of 103998999978 is 879999899301.

It is a happy number.

103998999978 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 103998999897 and 103998999906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744463 + ... + 873053.

It is an arithmetic number, because the mean of its divisors is an integer number (3827862360).

Almost surely, 2103998999978 is an apocalyptic number.

103998999978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103998999978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122491595520).

103998999978 is an abundant number, since it is smaller than the sum of its proper divisors (140984191062).

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

103998999978 is a wasteful number, since it uses less digits than its factorization.

103998999978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129500 (or 129494 counting only the distinct ones).

The product of its (nonzero) digits is 714256704, while the sum is 81.

The spelling of 103998999978 in words is "one hundred three billion, nine hundred ninety-eight million, nine hundred ninety-nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 881 918 1762 2643 5286 7929 14977 15858 23787 29954 44931 47574 89862 128591 134793 257182 269586 385773 404379 771546 808758 1157319 2186047 2314638 3471957 4372094 6558141 6943914 13116282 19674423 39348846 59023269 113288671 118046538 226577342 339866013 679732026 1019598039 1925907407 2039196078 3058794117 3851814814 5777722221 6117588234 11555444442 17333166663 34666333326 51999499989 103998999978