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31032313300120 = 23511312698457607
BaseRepresentation
bin1110000111001010001100…
…00000101100010010011000
311001212122211021021220112111
413003211012000230102120
513031413134201100440
6150000014203522104
76352003436561266
oct703450600542230
9131778737256474
1031032313300120
119984803935660
12359232ab29334
131441447120a02
14793d8716d436
1538c34d2b64ea
hex1c394602c498

31032313300120 has 128 divisors (see below), whose sum is σ = 78919631769600. Its totient is φ = 10879864358400.

The previous prime is 31032313300099. The next prime is 31032313300129. The reversal of 31032313300120 is 2100331323013.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31032313300091 and 31032313300100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31032313300129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559644 + ... + 7897963.

It is an arithmetic number, because the mean of its divisors is an integer number (616559623200).

Almost surely, 231032313300120 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 31032313300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39459815884800).

31032313300120 is an abundant number, since it is smaller than the sum of its proper divisors (47887318469480).

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

31032313300120 is a wasteful number, since it uses less digits than its factorization.

31032313300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457929 (or 8457925 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 31032313300120 its reverse (2100331323013), we get a palindrome (33132644623133).

The spelling of 31032313300120 in words is "thirty-one trillion, thirty-two billion, three hundred thirteen million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 269 310 341 440 538 620 682 1076 1240 1345 1364 1705 2152 2690 2728 2959 3410 5380 5918 6820 8339 10760 11836 13640 14795 16678 23672 29590 33356 41695 59180 66712 83390 91729 118360 166780 183458 333560 366916 458645 733832 917290 1834580 3669160 8457607 16915214 33830428 42288035 67660856 84576070 93033677 169152140 186067354 262185817 338304280 372134708 465168385 524371634 744269416 930336770 1048743268 1310929085 1860673540 2097486536 2275096283 2621858170 2884043987 3721347080 4550192566 5243716340 5768087974 9100385132 10487432680 11375481415 11536175948 14420219935 18200770264 22750962830 23072351896 25026059113 28840439870 45501925660 50052118226 57680879740 70527984773 91003851320 100104236452 115361759480 125130295565 141055969546 200208472904 250260591130 282111939092 352639923865 500521182260 564223878184 705279847730 775807832503 1001042364520 1410559695460 1551615665006 2821119390920 3103231330012 3879039162515 6206462660024 7758078325030 15516156650060 31032313300120