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122130322314 = 237111337549587
BaseRepresentation
bin111000110111110001…
…0001101001110001010
3102200020110202012022220
41301233202031032022
54000110330303224
6132034512354510
711552334416430
oct1615742151612
9380213665286
10122130322314
1147882423880
121b805245a36
13b694660b10
145ca8246d50
15329c00c279
hex1c6f88d38a

122130322314 has 128 divisors (see below), whose sum is σ = 336822700032. Its totient is φ = 28490538240.

The previous prime is 122130322283. The next prime is 122130322339. The reversal of 122130322314 is 413223031221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52572 + ... + 497015.

It is an arithmetic number, because the mean of its divisors is an integer number (2631427344).

Almost surely, 2122130322314 is an apocalyptic number.

122130322314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122130322314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168411350016).

122130322314 is an abundant number, since it is smaller than the sum of its proper divisors (214692377718).

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

122130322314 is a wasteful number, since it uses less digits than its factorization.

122130322314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549660.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122130322314 its reverse (413223031221), we get a palindrome (535353353535).

It can be divided in two parts, 122130 and 322314, that added together give a palindrome (444444).

The spelling of 122130322314 in words is "one hundred twenty-two billion, one hundred thirty million, three hundred twenty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 549587 1099174 1648761 3297522 3847109 6045457 7144631 7694218 11541327 12090914 14289262 18136371 20334719 21433893 23082654 36272742 40669438 42318199 42867786 50012417 61004157 78590941 84636398 100024834 122008314 126954597 142343033 150037251 157181882 223681909 235772823 253909194 264351347 284686066 300074502 427029099 447363818 471545646 528702694 550136587 671045727 793054041 854058198 1100273174 1342091454 1565773363 1586108082 1650409761 1850459429 2907864817 3131546726 3300819522 3700918858 4697320089 5551378287 5815729634 8723594451 9394640178 11102756574 17447188902 20355053719 40710107438 61065161157 122130322314