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10315463430 = 2352325758171
BaseRepresentation
bin10011001101101100…
…10111101100000110
3222121220100211121010
421212312113230012
5132111224312210
64423332103050
7513424664256
oct114666275406
928556324533
1010315463430
1144138a0398
121bba764a86
13c8517081c
146dbddd966
15405923920
hex266d97b06

10315463430 has 64 divisors (see below), whose sum is σ = 25934473728. Its totient is φ = 2620907520.

The previous prime is 10315463399. The next prime is 10315463437. The reversal of 10315463430 is 3436451301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315463437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148245 + ... + 206415.

It is an arithmetic number, because the mean of its divisors is an integer number (405226152).

Almost surely, 210315463430 is an apocalyptic number.

10315463430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315463430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12967236864).

10315463430 is an abundant number, since it is smaller than the sum of its proper divisors (15619010298).

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

10315463430 is a wasteful number, since it uses less digits than its factorization.

10315463430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58461.

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 10315463430 in words is "ten billion, three hundred fifteen million, four hundred sixty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 257 345 514 690 771 1285 1542 2570 3855 5911 7710 11822 17733 29555 35466 58171 59110 88665 116342 174513 177330 290855 349026 581710 872565 1337933 1745130 2675866 4013799 6689665 8027598 13379330 14949947 20068995 29899894 40137990 44849841 74749735 89699682 149499470 224249205 343848781 448498410 687697562 1031546343 1719243905 2063092686 3438487810 5157731715 10315463430