Search a number
-
+
29121009112 = 23131729619311
BaseRepresentation
bin11011000111101111…
…110101010111011000
32210011111022112120001
4123013233311113120
5434114434242422
621213352142344
72050434331126
oct330757652730
983144275501
1029121009112
1111394061188
1257886979b4
132991246250
1415a37da916
15b5689c227
hex6c7bf55d8

29121009112 has 128 divisors (see below), whose sum is σ = 65470809600. Its totient is φ = 12012134400.

The previous prime is 29121009107. The next prime is 29121009119. The reversal of 29121009112 is 21190012192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29121009119) 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, 3122937 + ... + 3132247.

It is an arithmetic number, because the mean of its divisors is an integer number (511490700).

Almost surely, 229121009112 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 29121009112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32735404800).

29121009112 is an abundant number, since it is smaller than the sum of its proper divisors (36349800488).

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

29121009112 is a wasteful number, since it uses less digits than its factorization.

29121009112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9437 (or 9433 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 29121009112 in words is "twenty-nine billion, one hundred twenty-one million, nine thousand, one hundred twelve".

Divisors: 1 2 4 8 13 17 26 29 34 52 58 61 68 104 116 122 136 221 232 244 377 442 488 493 754 793 884 986 1037 1508 1586 1768 1769 1972 2074 3016 3172 3538 3944 4148 6344 6409 7076 8296 9311 12818 13481 14152 18622 22997 25636 26962 30073 37244 45994 51272 53924 60146 74488 91988 107848 120292 121043 158287 183976 240584 242086 270019 316574 390949 484172 540038 567971 633148 781898 968344 1080076 1135942 1266296 1563796 2057731 2160152 2271884 3127592 3510247 4115462 4543768 4590323 7020494 7383623 8230924 9180646 9655507 14040988 14767246 16461848 16471159 18361292 19311014 28081976 29534492 32942318 36722584 38622028 59068984 59674199 65884636 77244056 119348398 125521591 131769272 214125067 238696796 251043182 280009703 428250134 477393592 502086364 560019406 856500268 1004172728 1120038812 1713000536 2240077624 3640126139 7280252278 14560504556 29121009112