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2131322212332 = 223337289161969
BaseRepresentation
bin11111000000111100101…
…101000000111111101100
321112202022111202102221000
4133000330231000333230
5234404421441243312
64311041011440300
7306661102614615
oct37007455007754
97482274672830
102131322212332
11751985909685
122a50935b6090
13125ca1350261
14752297bcc0c
153a691e6cadc
hex1f03cb40fec

2131322212332 has 144 divisors (see below), whose sum is σ = 5742873108000. Its totient is φ = 683468679168.

The previous prime is 2131322212321. The next prime is 2131322212343. The reversal of 2131322212332 is 2332122231312.

2131322212332 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 322 + 2 + 1 + 2 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (2131322212321) and next prime (2131322212343).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2131322212296 and 2131322212305.

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, 13077844 + ... + 13239812.

It is an arithmetic number, because the mean of its divisors is an integer number (39881063250).

Almost surely, 22131322212332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131322212332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871436554000).

2131322212332 is an abundant number, since it is smaller than the sum of its proper divisors (3611550895668).

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

2131322212332 is a wasteful number, since it uses less digits than its factorization.

2131322212332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162145 (or 162100 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 2131322212332 its reverse (2332122231312), we get a palindrome (4463444443644).

The spelling of 2131322212332 in words is "two trillion, one hundred thirty-one billion, three hundred twenty-two million, two hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 89 108 111 148 178 222 267 333 356 444 534 666 801 999 1068 1332 1369 1602 1998 2403 2738 3204 3293 3996 4107 4806 5476 6586 8214 9612 9879 12321 13172 16428 19758 24642 29637 36963 39516 49284 59274 73926 88911 118548 121841 147852 161969 177822 243682 323938 355644 365523 485907 487364 647876 731046 971814 1096569 1457721 1462092 1943628 2193138 2915442 3289707 4373163 4386276 5830884 5992853 6579414 8746326 11985706 13158828 14415241 17492652 17978559 23971412 28830482 35957118 43245723 53935677 57660964 71914236 86491446 107871354 129737169 161807031 172982892 215742708 221735561 259474338 323614062 389211507 443471122 518948676 533363917 647228124 665206683 778423014 886942244 1066727834 1330413366 1556846028 1600091751 1995620049 2133455668 2660826732 3200183502 3991240098 4800275253 5986860147 6400367004 7982480196 9600550506 11973720294 14400825759 19201101012 19734464929 23947440588 28801651518 39468929858 57603303036 59203394787 78937859716 118406789574 177610184361 236813579148 355220368722 532830553083 710440737444 1065661106166 2131322212332