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10111000152 = 23311211181513
BaseRepresentation
bin10010110101010100…
…11001111001011000
3222002122122000201010
421122222121321120
5131201404001102
64351145453520
7505363040361
oct113252317130
928078560633
1010111000152
11431943a080
121b621a12a0
13c519b2b36
146bcbb8b68
153e29d6d6c
hex25aa99e58

10111000152 has 64 divisors (see below), whose sum is σ = 27706296960. Its totient is φ = 3049401600.

The previous prime is 10111000073. The next prime is 10111000153. The reversal of 10111000152 is 25100011101.

10111000152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111000153) 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 15 ways as a sum of consecutive naturals, for example, 35053 + ... + 146460.

It is an arithmetic number, because the mean of its divisors is an integer number (432910890).

Almost surely, 210111000152 is an apocalyptic number.

10111000152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111000152 is an abundant number, since it is smaller than the sum of its proper divisors (17595296808).

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

10111000152 is a wasteful number, since it uses less digits than its factorization.

10111000152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181744 (or 181740 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

Adding to 10111000152 its reverse (25100011101), we get a palindrome (35211011253).

The spelling of 10111000152 in words is "ten billion, one hundred eleven million, one hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 211 264 422 633 844 1266 1688 2321 2532 4642 5064 6963 9284 13926 18568 27852 55704 181513 363026 544539 726052 1089078 1452104 1996643 2178156 3993286 4356312 5989929 7986572 11979858 15973144 23959716 38299243 47919432 76598486 114897729 153196972 229795458 306393944 421291673 459590916 842583346 919181832 1263875019 1685166692 2527750038 3370333384 5055500076 10111000152