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31300330232310 = 23531449499150217
BaseRepresentation
bin1110001110111101011010…
…00100001001100111110110
311002211021121211102202021120
413013132231010021213312
513100311034014413220
6150323101224524410
76410242235114166
oct707365504114766
9132737554382246
1031300330232310
119a78439466707
123616269320706
1314607baa8b109
147a2d307385a6
153942d7bd0a40
hex1c77ad1099f6

31300330232310 has 128 divisors (see below), whose sum is σ = 77873011200000. Its totient is φ = 8043309711360.

The previous prime is 31300330232309. The next prime is 31300330232383. The reversal of 31300330232310 is 1323203300313.

It is a super-2 number, since 2×313003302323102 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208292322 + ... + 208442538.

It is an arithmetic number, because the mean of its divisors is an integer number (608382900000).

Almost surely, 231300330232310 is an apocalyptic number.

31300330232310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31300330232310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38936505600000).

31300330232310 is an abundant number, since it is smaller than the sum of its proper divisors (46572680967690).

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

31300330232310 is a wasteful number, since it uses less digits than its factorization.

31300330232310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151206.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 31300330232310 its reverse (1323203300313), we get a palindrome (32623533532623).

The spelling of 31300330232310 in words is "thirty-one trillion, three hundred billion, three hundred thirty million, two hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 449 465 499 898 930 998 1347 1497 2245 2495 2694 2994 4490 4990 6735 7485 13470 13919 14970 15469 27838 30938 41757 46407 69595 77345 83514 92814 139190 150217 154690 208785 224051 232035 300434 417570 448102 450651 464070 672153 751085 901302 1120255 1344306 1502170 2240510 2253255 3360765 4506510 4656727 6721530 6945581 9313454 13891162 13970181 20836743 23283635 27940362 34727905 41673486 46567270 67447433 69455810 69850905 74958283 104183715 134894866 139701810 149916566 202342299 208367430 224874849 337237165 374791415 404684598 449749698 674474330 749582830 1011711495 1124374245 2023422990 2090870423 2248748490 2323706773 4181740846 4647413546 6272611269 6971120319 10454352115 11618533865 12545222538 13942240638 20908704230 23237067730 31363056345 33656269067 34855601595 62726112690 67312538134 69711203190 100968807201 168281345335 201937614402 336562690670 504844036005 1009688072010 1043344341077 2086688682154 3130033023231 5216721705385 6260066046462 10433443410770 15650165116155 31300330232310