Search a number
-
+
10113022023 = 3132197997137
BaseRepresentation
bin10010110101100100…
…00111100001000111
3222002210102202012020
421122302013201013
5131202413201043
64351301054223
7505416161136
oct113262074107
928083382166
1010113022023
11431a5a0145
121b629b7373
13c52240200
146bd18391d
153e2c85e83
hex25ac87847

10113022023 has 96 divisors (see below), whose sum is σ = 15839308800. Its totient is φ = 5719154688.

The previous prime is 10113021983. The next prime is 10113022091. The reversal of 10113022023 is 32022031101.

It is not a de Polignac number, because 10113022023 - 28 = 10113021767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10113021993 and 10113022011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113022093) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73817611 + ... + 73817747.

It is an arithmetic number, because the mean of its divisors is an integer number (164992800).

Almost surely, 210113022023 is an apocalyptic number.

10113022023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10113022023 is a deficient number, since it is larger than the sum of its proper divisors (5726286777).

10113022023 is a wasteful number, since it uses less digits than its factorization.

10113022023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10113022023 its reverse (32022031101), we get a palindrome (42135053124).

The spelling of 10113022023 in words is "ten billion, one hundred thirteen million, twenty-two thousand, twenty-three".

Divisors: 1 3 13 19 39 57 79 97 137 169 237 247 291 411 507 741 1027 1261 1501 1781 1843 2603 3081 3211 3783 4503 5343 5529 7663 7809 9633 10823 13289 13351 16393 19513 22989 23153 23959 32469 33839 39867 40053 49179 58539 69459 71877 99619 101517 140699 145597 172757 205637 252491 253669 298857 311467 422097 436791 439907 518271 616911 757473 761007 934401 1049831 1295047 1319721 1829087 1892761 2245841 2673281 3149493 3282383 3885141 5487261 5678283 6737523 8019843 9847149 13647803 19946789 24605893 34752653 40943409 42670979 59840367 73817679 104257959 128012937 177421439 259308257 532264317 777924771 3371007341 10113022023