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103399809372 = 223229419236377
BaseRepresentation
bin110000001001100011…
…0111110000101011100
3100212220002222112221100
41200103012332011130
53143230322344442
6115300132433100
710320225610116
oct1402306760534
9325802875840
10103399809372
113a940551212
1218058478790
13999ac99872
14500c7bc3b6
152a5295584c
hex18131be15c

103399809372 has 72 divisors (see below), whose sum is σ = 271031014800. Its totient is φ = 33198536448.

The previous prime is 103399809349. The next prime is 103399809397. The reversal of 103399809372 is 273908993301.

103399809372 is a `hidden beast` number, since 103 + 3 + 99 + 80 + 9 + 372 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 319248 + ... + 555624.

It is an arithmetic number, because the mean of its divisors is an integer number (3764319650).

Almost surely, 2103399809372 is an apocalyptic number.

103399809372 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 103399809372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135515507400).

103399809372 is an abundant number, since it is smaller than the sum of its proper divisors (167631205428).

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

103399809372 is a wasteful number, since it uses less digits than its factorization.

103399809372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236835 (or 236830 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 103399809372 in words is "one hundred three billion, three hundred ninety-nine million, eight hundred nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 419 522 838 1044 1257 1676 2514 3771 5028 7542 12151 15084 24302 36453 48604 72906 109359 145812 218718 236377 437436 472754 709131 945508 1418262 2127393 2836524 4254786 6854933 8509572 13709866 20564799 27419732 41129598 61694397 82259196 99041963 123388794 198083926 246777588 297125889 396167852 594251778 891377667 1188503556 1782755334 2872216927 3565510668 5744433854 8616650781 11488867708 17233301562 25849952343 34466603124 51699904686 103399809372