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10111321134 = 23223292113257
BaseRepresentation
bin10010110101010111…
…01000010000101110
3222002200020100000100
421122223220100232
5131201444234014
64351200411530
7505365545235
oct113253502056
928080210010
1010111321134
114319639252
121b62316ba6
13c51a95c75
146bcc5db1c
153e2a4c009
hex25aae842e

10111321134 has 144 divisors (see below), whose sum is σ = 23978309472. Its totient is φ = 3073179648.

The previous prime is 10111321133. The next prime is 10111321151. The reversal of 10111321134 is 43112311101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111321133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39343534 + ... + 39343790.

It is an arithmetic number, because the mean of its divisors is an integer number (166516038).

Almost surely, 210111321134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111321134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11989154736).

10111321134 is an abundant number, since it is smaller than the sum of its proper divisors (13866988338).

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

10111321134 is a wasteful number, since it uses less digits than its factorization.

10111321134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10111321134 its reverse (43112311101), we get a palindrome (53223632235).

The spelling of 10111321134 in words is "ten billion, one hundred eleven million, three hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 113 138 174 207 226 257 261 339 414 514 522 667 678 771 841 1017 1334 1542 1682 2001 2034 2313 2523 2599 3277 4002 4626 5046 5198 5911 6003 6554 7453 7569 7797 9831 11822 12006 14906 15138 15594 17733 19343 19662 22359 23391 29041 29493 35466 38686 44718 46782 53199 58029 58082 58986 67077 75371 87123 95033 106398 116058 134154 150742 171419 174087 174246 190066 216137 226113 261369 285099 342838 348174 432274 452226 514257 522738 570198 648411 667943 678339 842189 855297 1028514 1296822 1335886 1356678 1542771 1684378 1710594 1945233 2003829 2185759 2526567 3085542 3890466 4007658 4371518 4971151 5053134 6011487 6557277 7579701 9942302 12022974 13114554 14913453 15159402 19370347 19671831 24423481 29826906 38740694 39343662 44740359 48846962 58111041 73270443 89480718 116222082 146540886 174333123 219811329 348666246 439622658 561740063 1123480126 1685220189 3370440378 5055660567 10111321134