Search a number
-
+
102212213103022 = 211292251160913679
BaseRepresentation
bin10111001111011000100010…
…101001110101100110101110
3111101220101120212112222111011
4113033120202221311212232
5101344121103023244042
61001215350435015434
730346405632230551
oct2717304251654656
9441811525488434
10102212213103022
112a627a576a2230
12b5694b343a57a
134505755055359
141b351517d4698
15bc3b93038a17
hex5cf622a759ae

102212213103022 has 96 divisors (see below), whose sum is σ = 174033626457600. Its totient is φ = 44648274720000.

The previous prime is 102212213102939. The next prime is 102212213103059. The reversal of 102212213103022 is 220301312212201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102212213102984 and 102212213103002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7472192379 + ... + 7472206057.

It is an arithmetic number, because the mean of its divisors is an integer number (1812850275600).

Almost surely, 2102212213103022 is an apocalyptic number.

102212213103022 is a deficient number, since it is larger than the sum of its proper divisors (71821413354578).

102212213103022 is a wasteful number, since it uses less digits than its factorization.

102212213103022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15610 (or 15581 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102212213103022 its reverse (220301312212201), we get a palindrome (322513525315223).

The spelling of 102212213103022 in words is "one hundred two trillion, two hundred twelve billion, two hundred thirteen million, one hundred three thousand, twenty-two".

Divisors: 1 2 11 22 29 58 251 319 502 638 841 1609 1682 2761 3218 5522 7279 9251 13679 14558 17699 18502 27358 35398 46661 80069 93322 150469 160138 211091 300938 396691 403859 422182 513271 793382 807718 1026542 1353169 2322001 2706338 3433429 4363601 4442449 4644002 6866858 8727202 8884898 11504039 11711911 14884859 22009511 23008078 23423822 29769718 37767719 44019022 75535438 99569441 126544429 128831021 199138882 242104621 253088858 257662042 339645419 484209242 638275819 679290838 1095263851 1276551638 2190527702 2887513789 3736099609 5524387261 5775027578 7021034009 7472199218 11048774522 14042068018 18509998751 31762651679 37019997502 60768259871 63525303358 121536519742 160207230569 203609986261 320414461138 407219972522 1762279536259 3524559072518 4646009686501 9292019373002 51106106551511 102212213103022