Search a number
-
+
10357311470 = 25112312293331
BaseRepresentation
bin10011010010101100…
…00000011111101110
3222201211002221022112
421221112000133232
5132202432431340
64431425044022
7514443460232
oct115126003756
928654087275
1010357311470
114435483450
122010786612
13c90a3358c
147037b45c2
1540943d065
hex2695807ee

10357311470 has 64 divisors (see below), whose sum is σ = 21245898240. Its totient is φ = 3598531200.

The previous prime is 10357311413. The next prime is 10357311491. The reversal of 10357311470 is 7411375301.

10357311470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103573114703 (a number of 31 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3107705 + ... + 3111035.

It is an arithmetic number, because the mean of its divisors is an integer number (331967160).

Almost surely, 210357311470 is an apocalyptic number.

10357311470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10357311470 is an abundant number, since it is smaller than the sum of its proper divisors (10888586770).

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

10357311470 is a wasteful number, since it uses less digits than its factorization.

10357311470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601.

The product of its (nonzero) digits is 8820, while the sum is 32.

Adding to 10357311470 its reverse (7411375301), we get a palindrome (17768686771).

The spelling of 10357311470 in words is "ten billion, three hundred fifty-seven million, three hundred eleven thousand, four hundred seventy".

Divisors: 1 2 5 10 11 22 23 46 55 110 115 230 253 506 1229 1265 2458 2530 3331 6145 6662 12290 13519 16655 27038 28267 33310 36641 56534 67595 73282 76613 135190 141335 153226 183205 282670 310937 366410 383065 621874 766130 842743 1554685 1685486 3109370 4093799 4213715 8187598 8427430 20468995 40937990 45031789 90063578 94157377 188314754 225158945 450317890 470786885 941573770 1035731147 2071462294 5178655735 10357311470