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3431212112412 = 2232726131887403
BaseRepresentation
bin110001111011100100001…
…011011101101000011100
3110011000120001221020110100
4301323210023131220130
5422204110300044122
611144135503341100
7502616430510300
oct61734413355034
913130501836410
103431212112412
1111031948710a7
12474ba9bb1790
131bb73c6a89c6
14bc1004a7d00
155e3c1395aac
hex31ee42dda1c

3431212112412 has 108 divisors (see below), whose sum is σ = 10254797801976. Its totient is φ = 964275036480.

The previous prime is 3431212112407. The next prime is 3431212112413. The reversal of 3431212112412 is 2142112121343.

3431212112412 is a `hidden beast` number, since 3 + 4 + 31 + 2 + 1 + 211 + 2 + 412 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431212112413) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15836098 + ... + 16051305.

Almost surely, 23431212112412 is an apocalyptic number.

It is an amenable number.

3431212112412 is an abundant number, since it is smaller than the sum of its proper divisors (6823585689564).

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

3431212112412 is a wasteful number, since it uses less digits than its factorization.

3431212112412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31887488 (or 31887476 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 3431212112412 its reverse (2142112121343), we get a palindrome (5573324233755).

The spelling of 3431212112412 in words is "three trillion, four hundred thirty-one billion, two hundred twelve million, one hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 61 63 84 98 122 126 147 183 196 244 252 294 366 427 441 549 588 732 854 882 1098 1281 1708 1764 2196 2562 2989 3843 5124 5978 7686 8967 11956 15372 17934 26901 35868 53802 107604 31887403 63774806 95662209 127549612 191324418 223211821 286986627 382648836 446423642 573973254 669635463 892847284 1147946508 1339270926 1562482747 1945131583 2008906389 2678541852 3124965494 3890263166 4017812778 4687448241 5835394749 6249930988 7780526332 8035625556 9374896482 11670789498 13615921081 14062344723 17506184247 18749792964 23341578996 27231842162 28124689446 35012368494 40847763243 54463684324 56249378892 70024736988 81695526486 95311447567 122543289729 163391052972 190622895134 245086579458 285934342701 381245790268 490173158916 571868685402 857803028103 1143737370804 1715606056206 3431212112412