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10151353014 = 23118314912437
BaseRepresentation
bin10010111010001000…
…10101101010110110
3222012110120011102120
421131010111222312
5131242221244024
64355150420410
7506363035245
oct113504255266
928173504376
1010151353014
11433a1a0850
121b73801706
13c5a17117a
146c42c095c
153e6308479
hex25d115ab6

10151353014 has 64 divisors (see below), whose sum is σ = 22567507200. Its totient is φ = 3018465920.

The previous prime is 10151352997. The next prime is 10151353049. The reversal of 10151353014 is 41035315101.

10151353014 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 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, 810004 + ... + 822440.

It is an arithmetic number, because the mean of its divisors is an integer number (352617300).

Almost surely, 210151353014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10151353014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11283753600).

10151353014 is an abundant number, since it is smaller than the sum of its proper divisors (12416154186).

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

10151353014 is a wasteful number, since it uses less digits than its factorization.

10151353014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12685.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 10151353014 its reverse (41035315101), we get a palindrome (51186668115).

The spelling of 10151353014 in words is "ten billion, one hundred fifty-one million, three hundred fifty-three thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 83 149 166 249 298 447 498 894 913 1639 1826 2739 3278 4917 5478 9834 12367 12437 24734 24874 37101 37311 74202 74622 136037 136807 272074 273614 408111 410421 816222 820842 1032271 1853113 2064542 3096813 3706226 5559339 6193626 11118678 11354981 20384243 22709962 34064943 40768486 61152729 68129886 122305458 153808379 307616758 461425137 922850274 1691892169 3383784338 5075676507 10151353014