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10403119314 = 2327312699901
BaseRepresentation
bin10011011000001001…
…10000000011010010
3222212000022012212100
421230010300003102
5132301144304224
64440142541230
7515541024630
oct115404600322
928760265770
1010403119314
114459320575
122023b97816
13c9a381803
147098da350
1540d48aac9
hex26c1300d2

10403119314 has 96 divisors (see below), whose sum is σ = 26692623360. Its totient is φ = 2865456000.

The previous prime is 10403119291. The next prime is 10403119361. The reversal of 10403119314 is 41391130401.

It is a super-2 number, since 2×104031193142 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045764 + ... + 1055664.

It is an arithmetic number, because the mean of its divisors is an integer number (278048160).

Almost surely, 210403119314 is an apocalyptic number.

10403119314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10403119314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346311680).

10403119314 is an abundant number, since it is smaller than the sum of its proper divisors (16289504046).

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

10403119314 is a wasteful number, since it uses less digits than its factorization.

10403119314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10216 (or 10213 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 10403119314 its reverse (41391130401), we get a palindrome (51794249715).

The spelling of 10403119314 in words is "ten billion, four hundred three million, one hundred nineteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 269 279 434 538 558 651 807 1302 1614 1883 1953 2421 3766 3906 4842 5649 8339 9901 11298 16678 16947 19802 25017 29703 33894 50034 58373 59406 69307 75051 89109 116746 138614 150102 175119 178218 207921 306931 350238 415842 525357 613862 623763 920793 1050714 1247526 1841586 2148517 2663369 2762379 4297034 5326738 5524758 6445551 7990107 12891102 15980214 18643583 19336653 23970321 37287166 38673306 47940642 55930749 82564439 111861498 165128878 167792247 247693317 335584494 495386634 577951073 743079951 1155902146 1486159902 1733853219 3467706438 5201559657 10403119314