Search a number
-
+
2122312132212 = 2237134914514919
BaseRepresentation
bin11110111000100011101…
…010010010011001110100
321111220001120200221120220
4132320203222102121310
5234232443401212322
64302550550254340
7306221605321506
oct36704352223164
97456046627526
102122312132212
11749081963078
122a339a0573b0
13125196780abc
1474a12d01d76
153a315e4e55c
hex1ee23a92674

2122312132212 has 96 divisors (see below), whose sum is σ = 5040693504000. Its totient is φ = 694854384000.

The previous prime is 2122312132117. The next prime is 2122312132223.

2122312132212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431449489 + ... + 431454407.

It is an arithmetic number, because the mean of its divisors is an integer number (52507224000).

Almost surely, 22122312132212 is an apocalyptic number.

It is an amenable number.

2122312132212 is an abundant number, since it is smaller than the sum of its proper divisors (2918381371788).

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

2122312132212 is a wasteful number, since it uses less digits than its factorization.

2122312132212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797 (or 6795 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The spelling of 2122312132212 in words is "two trillion, one hundred twenty-two billion, three hundred twelve million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 71 142 213 284 349 426 698 852 1047 1396 1451 2094 2902 4188 4353 4919 5804 8706 9838 14757 17412 19676 24779 29514 49558 59028 74337 99116 103021 148674 206042 297348 309063 349249 412084 506399 618126 698498 1012798 1047747 1236252 1396996 1519197 1716731 2025596 2095494 3038394 3433462 4190988 5150193 6076788 6866924 7137469 10300386 14274938 20600772 21412407 28549876 35954329 42824814 71908658 85649628 107862987 121887901 143817316 215725974 243775802 365663703 431451948 487551604 506760299 731327406 1013520598 1462654812 1520280897 2027041196 2490976681 3040561794 4981953362 6081123588 7472930043 9963906724 14945860086 29891720172 176859344351 353718688702 530578033053 707437377404 1061156066106 2122312132212