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3213141243102 = 233717959979279
BaseRepresentation
bin101110110000011110001…
…001000111010011011110
3102101011200100010021112000
4232300132021013103132
5410121003124234402
610500032520023130
7451066430634150
oct56603611072336
912334610107460
103213141243102
11102975a51336a
1243a88a601aa6
131a3cc8574b6b
14b17343ccad0
15588ab719c1c
hex2ec1e2474de

3213141243102 has 128 divisors (see below), whose sum is σ = 8219750400000. Its totient is φ = 911376082656.

The previous prime is 3213141243083. The next prime is 3213141243139. The reversal of 3213141243102 is 2013421413123.

3213141243102 is a `hidden beast` number, since 3 + 2 + 1 + 314 + 1 + 243 + 102 = 666.

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

It is a congruent number.

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, 40489899 + ... + 40569177.

It is an arithmetic number, because the mean of its divisors is an integer number (64216800000).

Almost surely, 23213141243102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213141243102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109875200000).

3213141243102 is an abundant number, since it is smaller than the sum of its proper divisors (5006609156898).

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

3213141243102 is a wasteful number, since it uses less digits than its factorization.

3213141243102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80075 (or 80069 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3213141243102 its reverse (2013421413123), we get a palindrome (5226562656225).

The spelling of 3213141243102 in words is "three trillion, two hundred thirteen billion, one hundred forty-one million, two hundred forty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 179 189 358 378 537 599 1074 1198 1253 1611 1797 2506 3222 3594 3759 4193 4833 5391 7518 8386 9666 10782 11277 12579 16173 22554 25158 32346 33831 37737 67662 75474 79279 107221 113211 158558 214442 226422 237837 321663 475674 554953 643326 713511 750547 964989 1109906 1427022 1501094 1664859 1929978 2140533 2251641 2894967 3329718 4281066 4503282 4994577 5789934 6754923 9989154 13509846 14190941 14983731 20264769 28381882 29967462 40529538 42572823 47488121 85145646 94976242 99336587 127718469 142464363 198673174 255436938 284928726 298009761 332416847 383155407 427393089 596019522 664833694 766310814 854786178 894029283 997250541 1282179267 1788058566 1994501082 2564358534 2682087849 2991751623 5364175698 5983503246 8500373659 8975254869 17000747318 17950509738 25501120977 51002241954 59502615613 76503362931 119005231226 153006725862 178507846839 229510088793 357015693678 459020177586 535523540517 1071047081034 1606570621551 3213141243102