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10111012296 = 23371141133447
BaseRepresentation
bin10010110101010100…
…11100110111001000
3222002122122122100220
421122222130313020
5131201404343141
64351150030040
7505363120650
oct113252346710
928078578326
1010111012296
114319448210
121b621a8320
13c519b8518
146bcbbd360
153e29da766
hex25aa9cdc8

10111012296 has 128 divisors (see below), whose sum is σ = 32283740160. Its totient is φ = 2562163200.

The previous prime is 10111012283. The next prime is 10111012309. The reversal of 10111012296 is 69221011101.

It is a happy number.

10111012296 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 (10111012283) and next prime (10111012309).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9045 + ... + 142491.

It is an arithmetic number, because the mean of its divisors is an integer number (252216720).

Almost surely, 210111012296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111012296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16141870080).

10111012296 is an abundant number, since it is smaller than the sum of its proper divisors (22172727864).

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

10111012296 is a wasteful number, since it uses less digits than its factorization.

10111012296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133515 (or 133511 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

Adding to 10111012296 its reverse (69221011101), we get a palindrome (79332023397).

The spelling of 10111012296 in words is "ten billion, one hundred eleven million, twelve thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 41 42 44 56 66 77 82 84 88 123 132 154 164 168 231 246 264 287 308 328 451 462 492 574 616 861 902 924 984 1148 1353 1722 1804 1848 2296 2706 3157 3444 3608 5412 6314 6888 9471 10824 12628 18942 25256 37884 75768 133447 266894 400341 533788 800682 934129 1067576 1467917 1601364 1868258 2802387 2935834 3202728 3736516 4403751 5471327 5604774 5871668 7473032 8807502 10275419 10942654 11209548 11743336 16413981 17615004 20550838 21885308 22419096 30826257 32827962 35230008 38299289 41101676 43770616 60184597 61652514 65655924 76598578 82203352 114897867 120369194 123305028 131311848 153197156 180553791 229795734 240738388 246610056 306394312 361107582 421292179 459591468 481476776 722215164 842584358 919182936 1263876537 1444430328 1685168716 2527753074 3370337432 5055506148 10111012296