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31313031320100 = 22352435345799373
BaseRepresentation
bin1110001111010101000100…
…00110111101001000100100
311002212111101222202212021110
413013222202012331020210
513101013042004220400
6150333001421145020
76411202051432515
oct707524206751044
9132774358685243
1031313031320100
119a8286693a982
1236188129bb170
131461a6325318a
147a37b74d4a0c
153947ccc8ae50
hex1c7aa21bd224

31313031320100 has 144 divisors (see below), whose sum is σ = 94455163357632. Its totient is φ = 8002066275840.

The previous prime is 31313031320029. The next prime is 31313031320107. The reversal of 31313031320100 is 102313031313.

It is not an unprimeable number, because it can be changed into a prime (31313031320107) 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, 22215987 + ... + 23583386.

It is an arithmetic number, because the mean of its divisors is an integer number (655938634428).

Almost surely, 231313031320100 is an apocalyptic number.

31313031320100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31313031320100 is an abundant number, since it is smaller than the sum of its proper divisors (63142132037532).

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

31313031320100 is a wasteful number, since it uses less digits than its factorization.

31313031320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45799486 (or 45799479 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 31313031320100 its reverse (102313031313), we get a palindrome (31415344351413).

The spelling of 31313031320100 in words is "thirty-one trillion, three hundred thirteen billion, thirty-one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 53 60 75 86 100 106 129 150 159 172 212 215 258 265 300 318 430 516 530 636 645 795 860 1060 1075 1290 1325 1590 2150 2279 2580 2650 3180 3225 3975 4300 4558 5300 6450 6837 7950 9116 11395 12900 13674 15900 22790 27348 34185 45580 56975 68370 113950 136740 170925 227900 341850 683700 45799373 91598746 137398119 183197492 228996865 274796238 457993730 549592476 686990595 915987460 1144984325 1373981190 1969373039 2289968650 2427366769 2747962380 3434952975 3938746078 4579937300 4854733538 5908119117 6869905950 7282100307 7877492156 9709467076 9846865195 11816238234 12136833845 13739811900 14564200614 19693730390 23632476468 24273667690 29128401228 29540595585 36410501535 39387460780 48547335380 49234325975 59081191170 60684169225 72821003070 98468651950 104376771067 118162382340 121368338450 145642006140 147702977925 182052507675 196937303900 208753542134 242736676900 295405955850 313130313201 364105015350 417507084268 521883855335 590811911700 626260626402 728210030700 1043767710670 1252521252804 1565651566005 2087535421340 2609419276675 3131303132010 5218838553350 6262606264020 7828257830025 10437677106700 15656515660050 31313031320100