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31301211312 = 24327274111329
BaseRepresentation
bin11101001001101100…
…101001010010110000
32222210102202021201200
4131021230221102300
51003101102230222
622213553331200
72155446622560
oct351154512260
988712667650
1031301211312
1112302799388
126096866b00
132c4ab35517
14172d1a2da0
15c32ea7eac
hex749b294b0

31301211312 has 120 divisors (see below), whose sum is σ = 100159556640. Its totient is φ = 8939151360.

The previous prime is 31301211307. The next prime is 31301211343. The reversal of 31301211312 is 21311210313.

31301211312 is a `hidden beast` number, since 31 + 301 + 21 + 1 + 312 = 666.

It is a super-2 number, since 2×313012113122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2757264 + ... + 2768592.

It is an arithmetic number, because the mean of its divisors is an integer number (834662972).

Almost surely, 231301211312 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 31301211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50079778320).

31301211312 is an abundant number, since it is smaller than the sum of its proper divisors (68858345328).

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

31301211312 is a wasteful number, since it uses less digits than its factorization.

31301211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14091 (or 14082 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31301211312 its reverse (21311210313), we get a palindrome (52612421625).

Subtracting from 31301211312 its reverse (21311210313), we obtain a palindrome (9990000999).

The spelling of 31301211312 in words is "thirty-one billion, three hundred one million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2741 5482 8223 10964 11329 16446 19187 21928 22658 24669 32892 33987 38374 43856 45316 49338 57561 65784 67974 76748 79303 90632 98676 101961 115122 131568 135948 153496 158606 172683 181264 197352 203922 230244 237909 271896 306992 317212 345366 394704 407844 460488 475818 543792 634424 690732 713727 815688 920976 951636 1268848 1381464 1427454 1631376 1903272 2762928 2854908 3806544 5709816 11419632 31052789 62105578 93158367 124211156 186316734 217369523 248422312 279475101 372633468 434739046 496844624 558950202 652108569 745266936 869478092 1117900404 1304217138 1490533872 1738956184 1956325707 2235800808 2608434276 3477912368 3912651414 4471601616 5216868552 7825302828 10433737104 15650605656 31301211312