Search a number
-
+
31213233102330 = 23252936791174299
BaseRepresentation
bin1110001100011011001011…
…01010111101110111111010
311002111221210212211010012200
413012031211222331313322
513042344200133233310
6150215054503051030
76401040004533426
oct706154552756772
9132457725733180
1031213233102330
119a445043a4854
123601400740a76
13145551a4a3006
1479ca2b19bb86
15391ddb60d9c0
hex1c6365abddfa

31213233102330 has 96 divisors (see below), whose sum is σ = 81443841897600. Its totient is φ = 8293851807360.

The previous prime is 31213233102323. The next prime is 31213233102367. The reversal of 31213233102330 is 3320133231213.

31213233102330 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 323 + 3 + 1 + 0 + 2 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31213233102294 and 31213233102303.

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, 178991521 + ... + 179165819.

It is an arithmetic number, because the mean of its divisors is an integer number (848373353100).

Almost surely, 231213233102330 is an apocalyptic number.

31213233102330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31213233102330 is an abundant number, since it is smaller than the sum of its proper divisors (50230608795270).

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

31213233102330 is a wasteful number, since it uses less digits than its factorization.

31213233102330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181396 (or 181393 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 31213233102330 its reverse (3320133231213), we get a palindrome (34533366333543).

The spelling of 31213233102330 in words is "thirty-one trillion, two hundred thirteen billion, two hundred thirty-three million, one hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 293 586 879 1465 1758 2637 2930 4395 5274 6791 8790 13185 13582 20373 26370 33955 40746 61119 67910 101865 122238 174299 203730 305595 348598 522897 611190 871495 1045794 1568691 1742990 1989763 2614485 3137382 3979526 5228970 5969289 7843455 9948815 11938578 15686910 17907867 19897630 29846445 35815734 51069607 59692890 89539335 102139214 153208821 179078670 255348035 306417642 459626463 510696070 766044105 919252926 1183664509 1532088210 2298132315 2367329018 3550993527 4596264630 5918322545 7101987054 10652980581 11836645090 17754967635 21305961162 35509935270 53264902905 106529805810 346813701137 693627402274 1040441103411 1734068505685 2080882206822 3121323310233 3468137011370 5202205517055 6242646620466 10404411034110 15606616551165 31213233102330