Search a number
-
+
122102202220010 = 251719235712878439
BaseRepresentation
bin11011110000110100100010…
…011000111011110111101010
3121000022212010102010121002022
4123300310202120323313222
5112001010302232020020
61111404551034104442
734501410253214225
oct3360644230736752
9530285112117068
10122102202220010
11359a6286a56631
121184028457b122
13531925a7cb72c
142221ac72385bc
15e1b259d77625
hex6f0d2263bdea

122102202220010 has 128 divisors (see below), whose sum is σ = 256058653593600. Its totient is φ = 41582145623040.

The previous prime is 122102202219997. The next prime is 122102202220021. The reversal of 122102202220010 is 10022202201221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40980371 + ... + 43858809.

It is an arithmetic number, because the mean of its divisors is an integer number (2000458231200).

Almost surely, 2122102202220010 is an apocalyptic number.

122102202220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122102202220010 is an abundant number, since it is smaller than the sum of its proper divisors (133956451373590).

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

122102202220010 is a wasteful number, since it uses less digits than its factorization.

122102202220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879076.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122102202220010 its reverse (10022202201221), we get a palindrome (132124404421231).

The spelling of 122102202220010 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred two million, two hundred twenty thousand, ten".

Divisors: 1 2 5 10 17 19 23 34 38 46 85 95 115 170 190 230 323 391 437 571 646 782 874 1142 1615 1955 2185 2855 3230 3910 4370 5710 7429 9707 10849 13133 14858 19414 21698 26266 37145 48535 54245 65665 74290 97070 108490 131330 184433 223261 249527 368866 446522 499054 922165 1116305 1247635 1844330 2232610 2495270 2878439 4241959 5756878 8483918 14392195 21209795 28784390 42419590 48933463 54690341 66204097 97866926 109380682 132408194 244667315 273451705 331020485 489334630 546903410 662040970 929735797 1125469649 1257877843 1643588669 1859471594 2250939298 2515755686 3287177338 4648678985 5627348245 6289389215 8217943345 9297357970 11254696490 12578778430 16435886690 21383923331 27941007373 31228184711 37802539387 42767846662 55882014746 62456369422 75605078774 106919616655 139705036865 156140923555 189012696935 213839233310 279410073730 312281847110 378025393870 530879140087 642643169579 718248248353 1061758280174 1285286339158 1436496496706 2654395700435 3213215847895 3591241241765 5308791400870 6426431695790 7182482483530 12210220222001 24420440444002 61051101110005 122102202220010