Search a number
-
+
123342340201201 = 113294316322797
BaseRepresentation
bin11100000010110111100000…
…010111111001101011110001
3121011201102010202112102011201
4130002313200113321223301
5112131320103042414301
61114154404443011201
734660122113142502
oct3402674027715361
9534642122472151
10123342340201201
1136334213574000
1211a006a4209b01
1353a919591a164
142265b303aaba9
15e3d63d703201
hex702de05f9af1

123342340201201 has 96 divisors (see below), whose sum is σ = 144547443976320. Its totient is φ = 105058810200960.

The previous prime is 123342340201189. The next prime is 123342340201219. The reversal of 123342340201201 is 102102043243321.

It is not a de Polignac number, because 123342340201201 - 29 = 123342340200689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123342340201201.

It is not an unprimeable number, because it can be changed into a prime (123342340201291) 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, 44098082335 + ... + 44098085131.

It is an arithmetic number, because the mean of its divisors is an integer number (1505702541420).

Almost surely, 2123342340201201 is an apocalyptic number.

123342340201201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123342340201201 is a deficient number, since it is larger than the sum of its proper divisors (21205103775119).

123342340201201 is an equidigital number, since it uses as much as digits as its factorization.

123342340201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 123342340201201 its reverse (102102043243321), we get a palindrome (225444383444522).

The spelling of 123342340201201 in words is "one hundred twenty-three trillion, three hundred forty-two billion, three hundred forty million, two hundred one thousand, two hundred one".

Divisors: 1 11 29 43 121 163 319 473 1247 1331 1793 2797 3509 4727 5203 7009 13717 19723 26569 30767 38599 51997 57233 77099 81113 120271 150887 203261 216953 292259 338437 455911 571967 770501 848089 892243 1142467 1322981 1659757 2235871 3214849 3487859 3722807 5015021 6291637 8475511 9328979 9814673 12567137 13221419 14552791 19604173 24594581 33131543 35363339 38366449 55165231 74313493 93230621 107961403 138238507 145435609 160080701 215645903 270540391 364446973 422030939 568521017 606817541 817448423 1025536831 1520623577 1599791699 2155091297 2372104933 3195480199 4008916703 4642340329 6253731187 8991932653 17597708689 23706004267 26093154263 35150282189 44098083733 68791043057 92668925771 98911259183 260766046937 386653104079 756701473627 1019358183481 2868426516307 4253184144869 11212940018291 123342340201201