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31023222211332 = 2232131714332721109
BaseRepresentation
bin1110000110111001010000…
…01000111100001100000100
311001211210100200210202012100
413003130220020330030010
513031241024341230312
6145551512130152100
76351232236601251
oct703345010741404
9131753320722170
1031023222211332
11998096918a03a
123590612422630
13144062882a030
14793763a06428
1538beba0e55dc
hex1c372823c304

31023222211332 has 144 divisors (see below), whose sum is σ = 89482309141680. Its totient is φ = 8977827815424.

The previous prime is 31023222211313. The next prime is 31023222211381. The reversal of 31023222211332 is 23311222232013.

31023222211332 is a `hidden beast` number, since 3 + 1 + 0 + 2 + 322 + 2 + 2 + 1 + 1 + 332 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 856039450176 + 30167182761156 = 925224^2 + 5492466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31023222211296 and 31023222211305.

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, 10040394 + ... + 12761502.

It is an arithmetic number, because the mean of its divisors is an integer number (621404924595).

Almost surely, 231023222211332 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 31023222211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44741154570840).

31023222211332 is an abundant number, since it is smaller than the sum of its proper divisors (58459086930348).

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

31023222211332 is a wasteful number, since it uses less digits than its factorization.

31023222211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722582 (or 2722577 counting only the distinct ones).

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

Adding to 31023222211332 its reverse (23311222232013), we get a palindrome (54334444443345).

The spelling of 31023222211332 in words is "thirty-one trillion, twenty-three billion, two hundred twenty-two million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1433 1989 2652 2866 3978 4299 5732 7956 8598 12897 17196 18629 24361 25794 37258 48722 51588 55887 73083 74516 97444 111774 146166 167661 219249 223548 292332 316693 335322 438498 633386 670644 876996 950079 1266772 1900158 2721109 2850237 3800316 5442218 5700474 8163327 10884436 11400948 16326654 24489981 32653308 35374417 46258853 48979962 70748834 92517706 97959924 106123251 138776559 141497668 185035412 212246502 277553118 318369753 416329677 424493004 555106236 601365089 636739506 832659354 1202730178 1273479012 1665318708 1804095267 2405460356 3608190534 3899349197 5412285801 7216381068 7798698394 10824571602 11698047591 15597396788 21649143204 23396095182 35094142773 46792190364 50691539561 66288936349 70188285546 101383079122 132577872698 140376571092 152074618683 198866809047 202766158244 265155745396 304149237366 397733618094 456223856049 596600427141 608298474732 795467236188 861756172537 912447712098 1193200854282 1723512345074 1824895424196 2386401708564 2585268517611 3447024690148 5170537035222 7755805552833 10341074070444 15511611105666 31023222211332