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10315122420 = 22351926933637
BaseRepresentation
bin10011001101101010…
…00100011011110100
3222121212201111211010
421212311010123310
5132111132404140
64423320512220
7513422044131
oct114665043364
928555644733
1010315122420
114413688169
121bba61b670
13c85081545
146dbd51588
154058a7880
hex266d446f4

10315122420 has 96 divisors (see below), whose sum is σ = 30516393600. Its totient is φ = 2596161024.

The previous prime is 10315122407. The next prime is 10315122427. The reversal of 10315122420 is 2422151301.

10315122420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315122427) 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 31 ways as a sum of consecutive naturals, for example, 289842 + ... + 323478.

It is an arithmetic number, because the mean of its divisors is an integer number (317879100).

Almost surely, 210315122420 is an apocalyptic number.

10315122420 is a gapful number since it is divisible by the number (10) 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 10315122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15258196800).

10315122420 is an abundant number, since it is smaller than the sum of its proper divisors (20201271180).

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

10315122420 is a wasteful number, since it uses less digits than its factorization.

10315122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33937 (or 33935 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10315122420 its reverse (2422151301), we get a palindrome (12737273721).

The spelling of 10315122420 in words is "ten billion, three hundred fifteen million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 269 285 380 538 570 807 1076 1140 1345 1614 2690 3228 4035 5111 5380 8070 10222 15333 16140 20444 25555 30666 33637 51110 61332 67274 76665 100911 102220 134548 153330 168185 201822 306660 336370 403644 504555 639103 672740 1009110 1278206 1917309 2018220 2556412 3195515 3834618 6391030 7669236 9048353 9586545 12782060 18096706 19173090 27145059 36193412 38346180 45241765 54290118 90483530 108580236 135725295 171918707 180967060 271450590 343837414 515756121 542901180 687674828 859593535 1031512242 1719187070 2063024484 2578780605 3438374140 5157561210 10315122420