Search a number
-
+
31143332022 = 2311192310110691
BaseRepresentation
bin11101000000010010…
…011000100010110110
32222101102200012001120
4131000102120202312
51002240143111042
622150153404410
72151521645235
oct350022304266
988342605046
1031143332022
1112231665330
126051a09706
132c2420811a
141716226b1c
15c241bddec
hex7404988b6

31143332022 has 128 divisors (see below), whose sum is σ = 75381166080. Its totient is φ = 8466480000.

The previous prime is 31143332021. The next prime is 31143332039. The reversal of 31143332022 is 22023334113.

It is a junction number, because it is equal to n+sod(n) for n = 31143331983 and 31143332001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31143332021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2907697 + ... + 2918387.

It is an arithmetic number, because the mean of its divisors is an integer number (588915360).

Almost surely, 231143332022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31143332022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37690583040).

31143332022 is an abundant number, since it is smaller than the sum of its proper divisors (44237834058).

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

31143332022 is a wasteful number, since it uses less digits than its factorization.

31143332022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10850.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31143332022 its reverse (22023334113), we get a palindrome (53166666135).

The spelling of 31143332022 in words is "thirty-one billion, one hundred forty-three million, three hundred thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 101 114 138 202 209 253 303 418 437 506 606 627 759 874 1111 1254 1311 1518 1919 2222 2323 2622 3333 3838 4646 4807 5757 6666 6969 9614 10691 11514 13938 14421 21109 21382 25553 28842 32073 42218 44137 51106 63327 64146 76659 88274 117601 126654 132411 153318 203129 235202 245893 264822 352803 406258 485507 491786 609387 705606 737679 971014 1079791 1218774 1456521 1475358 2159582 2234419 2704823 2913042 3239373 4468838 4671967 5409646 6478746 6703257 8114469 9343934 11877701 13406514 14015901 16228938 20516029 23755402 24835193 28031802 35633103 41032058 49670386 51391637 61548087 71266206 74505579 102783274 123096174 149011158 154174911 225676319 273187123 308349822 451352638 471868667 546374246 677028957 819561369 943737334 1354057914 1415606001 1639122738 2831212002 5190555337 10381110674 15571666011 31143332022