Search a number
-
+
213414343142 = 2721121310313441
BaseRepresentation
bin1100011011000001111…
…1000111000111100110
3202101212012201220220012
43012300133013013212
511444033032440032
6242012522010222
721263414662100
oct3066037070746
9671765656805
10213414343142
1182565918800
1235440046972
13171814b4b20
14a4878a6570
155840e6e6b2
hex31b07c71e6

213414343142 has 144 divisors (see below), whose sum is σ = 445115807136. Its totient is φ = 76001587200.

The previous prime is 213414343141. The next prime is 213414343157. The reversal of 213414343142 is 241343414312.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 213414343099 and 213414343108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213414343141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15871142 + ... + 15884582.

It is an arithmetic number, because the mean of its divisors is an integer number (3091081994).

Almost surely, 2213414343142 is an apocalyptic number.

213414343142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

213414343142 is an abundant number, since it is smaller than the sum of its proper divisors (231701463994).

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

213414343142 is a wasteful number, since it uses less digits than its factorization.

213414343142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13595 (or 13577 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 213414343142 its reverse (241343414312), we get a palindrome (454757757454).

The spelling of 213414343142 in words is "two hundred thirteen billion, four hundred fourteen million, three hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 103 121 143 154 182 206 242 286 539 637 721 847 1001 1078 1133 1274 1339 1442 1573 1694 2002 2266 2678 3146 5047 5929 7007 7931 9373 10094 11011 11858 12463 13441 14014 14729 15862 18746 22022 24926 26882 29458 55517 65611 77077 87241 94087 103103 111034 131222 147851 154154 162019 174482 174733 188174 206206 295702 324038 349466 610687 658609 721721 1034957 1134133 1221374 1223131 1317218 1384423 1443442 1626361 1922063 2069914 2268266 2446262 2768846 3252722 3844126 7244699 7938931 8561917 9690961 11384527 13454441 14489398 15228653 15877862 17123834 17997499 19381922 21142693 22769054 26908882 30457306 35994998 42285386 67836727 79691689 94181087 106600571 125982493 135673454 147998851 159383378 167515183 188362174 197972489 213201142 251964986 295997702 335030366 395944978 746203997 881877451 1035991957 1172606281 1385807423 1492407994 1763754902 2071983914 2177697379 2345212562 2771614846 4355394758 8208243967 9700651961 15243881653 16416487934 19401303922 30487763306 106707171571 213414343142