Search a number
-
+
122002010320 = 245311672711087
BaseRepresentation
bin111000110011111100…
…0101111000011010000
3102122220112022021100211
41301213320233003100
53444330003312240
6132014050253504
711546215656121
oct1614770570320
9378815267324
10122002010320
1147816a55103
121b78a287294
13b673bb6768
145c951a6048
153290b13bea
hex1c67e2f0d0

122002010320 has 160 divisors (see below), whose sum is σ = 295917060096. Its totient is φ = 46727539200.

The previous prime is 122002010281. The next prime is 122002010327. The reversal of 122002010320 is 23010200221.

It is a self number, because there is not a number n which added to its sum of digits gives 122002010320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002010327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 112236817 + ... + 112237903.

Almost surely, 2122002010320 is an apocalyptic number.

122002010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122002010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147958530048).

122002010320 is an abundant number, since it is smaller than the sum of its proper divisors (173915049776).

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

122002010320 is a wasteful number, since it uses less digits than its factorization.

122002010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 122002010320 its reverse (23010200221), we get a palindrome (145012210541).

The spelling of 122002010320 in words is "one hundred twenty-two billion, two million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 167 248 271 310 334 496 542 620 668 835 1084 1087 1240 1336 1355 1670 2168 2174 2480 2672 2710 3340 4336 4348 5177 5420 5435 6680 8401 8696 10354 10840 10870 13360 16802 17392 20708 21680 21740 25885 33604 33697 41416 42005 43480 45257 51770 67208 67394 82832 84010 86960 90514 103540 134416 134788 168020 168485 181028 181529 207080 226285 269576 294577 336040 336970 362056 363058 414160 452570 539152 589154 672080 673940 724112 726116 905140 907645 1178308 1347880 1402967 1452232 1472885 1810280 1815290 2356616 2695760 2805934 2904464 2945770 3620560 3630580 4713232 5611868 5627399 5891540 7014835 7261160 9131887 11223736 11254798 11783080 14029670 14522320 18263774 22447472 22509596 23566160 28059340 28136995 36527548 45019192 45659435 49194359 56118680 56273990 73055096 90038384 91318870 98388718 112237360 112547980 146110192 182637740 196777436 225095960 245971795 365275480 393554872 450191920 491943590 730550960 787109744 983887180 1525025129 1967774360 3050050258 3935548720 6100100516 7625125645 12200201032 15250251290 24400402064 30500502580 61001005160 122002010320