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31220221332132 = 223272338314063999
BaseRepresentation
bin1110001100101000001100…
…01100111100101010100100
311002112121211220101222022200
413012110012030330222210
513043003003130112012
6150222212141054500
76401405121521310
oct706240614745244
9132477756358280
1031220221332132
119a4747003a288
123602830b57430
131456092217731
1479d0d1332b40
15392199da03dc
hex1c650633caa4

31220221332132 has 144 divisors (see below), whose sum is σ = 94358863872000. Its totient is φ = 8509956421824.

The previous prime is 31220221332127. The next prime is 31220221332191. The reversal of 31220221332132 is 23123312202213.

31220221332132 is a `hidden beast` number, since 3 + 1 + 220 + 221 + 3 + 3 + 213 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31220221332096 and 31220221332105.

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, 4812132 + ... + 9251867.

It is an arithmetic number, because the mean of its divisors is an integer number (655269888000).

Almost surely, 231220221332132 is an apocalyptic number.

It is an amenable number.

31220221332132 is an abundant number, since it is smaller than the sum of its proper divisors (63138642539868).

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

31220221332132 is a wasteful number, since it uses less digits than its factorization.

31220221332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14064422 (or 14064417 counting only the distinct ones).

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

Adding to 31220221332132 its reverse (23123312202213), we get a palindrome (54343533534345).

The spelling of 31220221332132 in words is "thirty-one trillion, two hundred twenty billion, two hundred twenty-one million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 383 414 483 644 766 828 966 1149 1449 1532 1932 2298 2681 2898 3447 4596 5362 5796 6894 8043 8809 10724 13788 16086 17618 24129 26427 32172 35236 48258 52854 61663 79281 96516 105708 123326 158562 184989 246652 317124 369978 554967 739956 1109934 2219868 14063999 28127998 42191997 56255996 84383994 98447993 126575991 168767988 196895986 253151982 295343979 323471977 393791972 506303964 590687958 646943954 886031937 970415931 1181375916 1293887908 1772063874 1940831862 2264303839 2911247793 3544127748 3881663724 4528607678 5386511617 5822495586 6792911517 9057215356 10773023234 11644991172 13585823034 16159534851 20378734551 21546046468 27171646068 32319069702 37705581319 40757469102 48478604553 64638139404 75411162638 81514938204 96957209106 113116743957 123889767191 150822325276 193914418212 226233487914 247779534382 339350231871 371669301573 452466975828 495559068764 678700463742 743338603146 867228370337 1115007904719 1357400927484 1486677206292 1734456740674 2230015809438 2601685111011 3468913481348 4460031618876 5203370222022 7805055333033 10406740444044 15610110666066 31220221332132