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10114452012 = 2237219787317
BaseRepresentation
bin10010110101101111…
…00100101000101100
3222002220010101202210
421122313210220230
5131203244431022
64351351450420
7505434265200
oct113267445054
928086111683
1010114452012
114320387555
121b63386a10
13c52621062
146bd436b00
153e2e69a0c
hex25ade4a2c

10114452012 has 72 divisors (see below), whose sum is σ = 27593186544. Its totient is φ = 2875141248.

The previous prime is 10114451993. The next prime is 10114452031. The reversal of 10114452012 is 21025441101.

10114452012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10114451993) and next prime (10114452031).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10114452012.

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 23 ways as a sum of consecutive naturals, for example, 72178 + ... + 159494.

It is an arithmetic number, because the mean of its divisors is an integer number (383238702).

Almost surely, 210114452012 is an apocalyptic number.

10114452012 is a gapful number since it is divisible by the number (12) 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 10114452012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13796593272).

10114452012 is an abundant number, since it is smaller than the sum of its proper divisors (17478734532).

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

10114452012 is a wasteful number, since it uses less digits than its factorization.

10114452012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87535 (or 87526 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 10114452012 its reverse (21025441101), we get a palindrome (31139893113).

The spelling of 10114452012 in words is "ten billion, one hundred fourteen million, four hundred fifty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 197 294 394 588 591 788 1182 1379 2364 2758 4137 5516 8274 9653 16548 19306 28959 38612 57918 87317 115836 174634 261951 349268 523902 611219 1047804 1222438 1833657 2444876 3667314 4278533 7334628 8557066 12835599 17114132 17201449 25671198 34402898 51342396 51604347 68805796 103208694 120410143 206417388 240820286 361230429 481640572 722460858 842871001 1444921716 1685742002 2528613003 3371484004 5057226006 10114452012