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114112764010 = 257171072713307
BaseRepresentation
bin110101001000110100…
…1101001100001101010
3101220112201022000222001
41222101221221201222
53332200331422020
6124231144321214
711146551330040
oct1522151514152
9356481260861
10114112764010
1144438753633
121a14817320a
13a9b75b0a8b
1457474cc390
152e7d1e450a
hex1a91a6986a

114112764010 has 128 divisors (see below), whose sum is σ = 251879694336. Its totient is φ = 36333204480.

The previous prime is 114112763957. The next prime is 114112764011. The reversal of 114112764010 is 10467211411.

It is a self number, because there is not a number n which added to its sum of digits gives 114112764010.

It is not an unprimeable number, because it can be changed into a prime (114112764011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 34504777 + ... + 34508083.

It is an arithmetic number, because the mean of its divisors is an integer number (1967810112).

Almost surely, 2114112764010 is an apocalyptic number.

114112764010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114112764010 is an abundant number, since it is smaller than the sum of its proper divisors (137766930326).

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

114112764010 is a wasteful number, since it uses less digits than its factorization.

114112764010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716.

The product of its (nonzero) digits is 1344, while the sum is 28.

Adding to 114112764010 its reverse (10467211411), we get a palindrome (124579975421).

The spelling of 114112764010 in words is "one hundred fourteen billion, one hundred twelve million, seven hundred sixty-four thousand, ten".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 107 119 170 214 238 271 535 542 595 749 1070 1190 1355 1498 1819 1897 2710 3307 3638 3745 3794 4607 6614 7490 9095 9214 9485 12733 16535 18190 18970 23035 23149 25466 28997 32249 33070 46070 46298 56219 57994 63665 64498 112438 115745 127330 144985 161245 202979 231490 281095 289970 322490 353849 393533 405958 492949 562190 707698 787066 896197 985898 1014895 1769245 1792394 1967665 2029790 2464745 2476943 3450643 3538490 3935330 4480985 4929490 4953886 6015433 6273379 6901286 8961970 12030866 12384715 12546758 15235349 17253215 24769430 30077165 30470698 31366895 34506430 42108031 60154330 62733790 76176745 84216062 95893079 106647443 152353490 191786158 210540155 213294886 421080310 479465395 533237215 671251553 958930790 1066474430 1342503106 1630182343 3260364686 3356257765 6712515530 8150911715 11411276401 16301823430 22822552802 57056382005 114112764010