Search a number
-
+
122313102522102 = 2395959987917
BaseRepresentation
bin11011110011111000111101…
…000001101111011011110110
3121001002000111102021000000000
4123303320331001233123312
5112012434213221201402
61112045510311332130
734522554463210512
oct3363707501573366
9531060442230000
10122313102522102
1135a77771750058
1211875122681046
1353330cb1a90ab
14222bdb2c77142
15e219a0245c1c
hex6f3e3d06f6f6

122313102522102 has 160 divisors (see below), whose sum is σ = 280334631456000. Its totient is φ = 40012633054368.

The previous prime is 122313102522073. The next prime is 122313102522113. The reversal of 122313102522102 is 201225201313221.

122313102522102 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 31 + 0 + 2 + 522 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1391189848 + ... + 1391277764.

It is an arithmetic number, because the mean of its divisors is an integer number (1752091446600).

Almost surely, 2122313102522102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122313102522102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140167315728000).

122313102522102 is an abundant number, since it is smaller than the sum of its proper divisors (158021528933898).

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

122313102522102 is an frugal number, since it uses more digits than its factorization.

122313102522102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88604 (or 88580 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 122313102522102 its reverse (201225201313221), we get a palindrome (323538303835323).

The spelling of 122313102522102 in words is "one hundred twenty-two trillion, three hundred thirteen billion, one hundred two million, five hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 243 354 486 531 599 729 1062 1198 1458 1593 1797 2187 3186 3594 4374 4779 5391 6561 9558 10782 13122 14337 16173 19683 28674 32346 35341 39366 43011 48519 70682 86022 87917 97038 106023 129033 145557 175834 212046 258066 263751 291114 318069 387099 436671 527502 636138 774198 791253 873342 954207 1161297 1310013 1582506 1908414 2322594 2373759 2620026 2862621 3930039 4747518 5187103 5725242 7121277 7860078 8587863 10374206 11790117 14242554 15561309 17175726 21363831 23580234 25763589 31122618 42727662 46683927 51527178 52662283 64091493 77290767 93367854 105324566 128182986 140051781 154581534 157986849 192274479 231872301 280103562 315973698 384548958 420155343 463744602 473960547 576823437 695616903 840310686 947921094 1153646874 1260466029 1391233806 1421881641 1730470311 2520932058 2843763282 3107074697 3460940622 3781398087 4265644923 6214149394 7562796174 8531289846 9321224091 11344194261 12796934769 18642448182 22688388522 25593869538 27963672273 34032582783 38390804307 55927344546 68065165566 76781608614 83891016819 102097748349 115172412921 167782033638 204195496698 230344825842 251673050457 345517238763 503346100914 691034477526 755019151371 1036551716289 1510038302742 2073103432578 2265057454113 4530114908226 6795172362339 13590344724678 20385517087017 40771034174034 61156551261051 122313102522102