Search a number
-
+
31330234135116 = 22327314197817723
BaseRepresentation
bin1110001111110101000110…
…11110011111001001001100
311002221010210212220102002100
413013322203132133021030
513101303304414310431
6150344524425155100
76412351260104250
oct707724336371114
9132833725812070
1031330234135116
119a8a094434474
12362001402ba90
131463575277c67
147a456a0ca260
15394e881764e6
hex1c7ea379f24c

31330234135116 has 144 divisors (see below), whose sum is σ = 95707991328768. Its totient is φ = 8451451180800.

The previous prime is 31330234135111. The next prime is 31330234135127. The reversal of 31330234135116 is 61153143203313.

It is a happy number.

31330234135116 is a `hidden beast` number, since 3 + 1 + 3 + 302 + 341 + 3 + 5 + 1 + 1 + 6 = 666.

It is a super-2 number, since 2×313302341351162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31330234135111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48588570 + ... + 49229153.

It is an arithmetic number, because the mean of its divisors is an integer number (664638828672).

Almost surely, 231330234135116 is an apocalyptic number.

31330234135116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31330234135116 is an abundant number, since it is smaller than the sum of its proper divisors (64377757193652).

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

31330234135116 is a wasteful number, since it uses less digits than its factorization.

31330234135116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97817812 (or 97817807 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 31330234135116 its reverse (61153143203313), we get a palindrome (92483377338429).

The spelling of 31330234135116 in words is "thirty-one trillion, three hundred thirty billion, two hundred thirty-four million, one hundred thirty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 41 42 62 63 82 84 93 123 124 126 164 186 217 246 252 279 287 369 372 434 492 558 574 651 738 861 868 1116 1148 1271 1302 1476 1722 1953 2542 2583 2604 3444 3813 3906 5084 5166 7626 7812 8897 10332 11439 15252 17794 22878 26691 35588 45756 53382 80073 106764 160146 320292 97817723 195635446 293453169 391270892 586906338 684724061 880359507 1173812676 1369448122 1760719014 2054172183 2738896244 3032349413 3521438028 4010526643 4108344366 6064698826 6162516549 8021053286 8216688732 9097048239 12031579929 12129397652 12325033098 16042106572 18194096478 21226445891 24063159858 24650066196 27291144717 28073686501 36094739787 36388192956 42452891782 48126319716 54582289434 56147373002 63679337673 72189479574 84221059503 84905783564 109164578868 112294746004 124326325933 127358675346 144378959148 168442119006 191038013019 248652651866 252663178509 254717350692 336884238012 372978977799 382076026038 497305303732 505326357018 745957955598 764152052076 870284281531 1010652714036 1118936933397 1491915911196 1740568563062 2237873866794 2610852844593 3481137126124 4475747733588 5221705689186 7832558533779 10443411378372 15665117067558 31330234135116