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10315033424 = 2417192817103
BaseRepresentation
bin10011001101101001…
…01110101101010000
3222121212112222201222
421212310232231100
5132111122032144
64423314544212
7513421223513
oct114664565520
928555488658
1010315033424
114413627313
121bba598068
13c8504cb97
146dbd2ad7a
1540588b2ee
hex266d2eb50

10315033424 has 80 divisors (see below), whose sum is σ = 22357140480. Its totient is φ = 4581642240.

The previous prime is 10315033411. The next prime is 10315033429. The reversal of 10315033424 is 42433051301.

10315033424 is digitally balanced in base 2, 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 = 10315033393 and 10315033402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315033429) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1448657 + ... + 1455759.

It is an arithmetic number, because the mean of its divisors is an integer number (279464256).

Almost surely, 210315033424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315033424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11178570240).

10315033424 is an abundant number, since it is smaller than the sum of its proper divisors (12042107056).

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

10315033424 is a wasteful number, since it uses less digits than its factorization.

10315033424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428 (or 7422 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 10315033424 its reverse (42433051301), we get a palindrome (52748084725).

The spelling of 10315033424 in words is "ten billion, three hundred fifteen million, thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 281 304 323 562 646 1124 1292 2248 2584 4496 4777 5168 5339 7103 9554 10678 14206 19108 21356 28412 38216 42712 56824 76432 85424 90763 113648 120751 134957 181526 241502 269914 363052 483004 539828 726104 966008 1079656 1452208 1932016 1995943 2159312 2294269 3991886 4588538 7983772 9177076 15967544 18354152 31935088 33931031 36708304 37922917 67862062 75845834 135724124 151691668 271448248 303383336 542896496 606766672 644689589 1289379178 2578758356 5157516712 10315033424