Search a number
-
+
10110010988 = 227111071392207
BaseRepresentation
bin10010110101001101…
…01000011001101100
3222002120202202211102
421122212220121230
5131201130322423
64351112342232
7505351450460
oct113246503154
928076682742
1010110010988
114318923990
121b619a4978
13c5172782c
146bc9dc4a0
153e288dc28
hex25a9a866c

10110010988 has 96 divisors (see below), whose sum is σ = 22434693120. Its totient is φ = 3872324160.

The previous prime is 10110010987. The next prime is 10110011033. The reversal of 10110010988 is 88901001101.

It is a super-2 number, since 2×101100109882 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10110010988.

It is not an unprimeable number, because it can be changed into a prime (10110010987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4579781 + ... + 4581987.

It is an arithmetic number, because the mean of its divisors is an integer number (233694720).

Almost surely, 210110010988 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 10110010988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11217346560).

10110010988 is an abundant number, since it is smaller than the sum of its proper divisors (12324682132).

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

10110010988 is a wasteful number, since it uses less digits than its factorization.

10110010988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 29.

The spelling of 10110010988 in words is "ten billion, one hundred ten million, ten thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 139 154 214 278 308 428 556 749 973 1177 1498 1529 1946 2207 2354 2996 3058 3892 4414 4708 6116 8239 8828 10703 14873 15449 16478 21406 24277 29746 30898 32956 42812 48554 59492 61796 97108 104111 163603 169939 208222 236149 306773 327206 339878 416444 472298 613546 654412 679756 944596 1145221 1227092 1653043 2147411 2290442 2597639 3306086 3374503 4294822 4580884 5195278 6612172 6749006 8589644 10390556 13498012 18183473 23621521 32824711 36366946 47243042 65649422 72733892 94486084 131298844 229772977 361071821 459545954 722143642 919091908 1444287284 2527502747 5055005494 10110010988