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31113513200 = 24527111010179
BaseRepresentation
bin11100111110100000…
…101000100011110000
32222022100120020022202
4130332200220203300
51002210024410300
622143210322332
72151010333010
oct347640504360
988270506282
1031113513200
1112216848a80
126043a293a8
132c1ac97753
1417122a3c40
15c2177dad5
hex73e8288f0

31113513200 has 120 divisors (see below), whose sum is σ = 93195166080. Its totient is φ = 9697708800.

The previous prime is 31113513199. The next prime is 31113513239. The reversal of 31113513200 is 231531113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474290 + ... + 535889.

It is an arithmetic number, because the mean of its divisors is an integer number (776626384).

Almost surely, 231113513200 is an apocalyptic number.

It is an amenable number.

31113513200 is an abundant number, since it is smaller than the sum of its proper divisors (62081652880).

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

31113513200 is a wasteful number, since it uses less digits than its factorization.

31113513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010215 (or 1010204 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The spelling of 31113513200 in words is "thirty-one billion, one hundred thirteen million, five hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 175 176 200 220 275 280 308 350 385 400 440 550 560 616 700 770 880 1100 1232 1400 1540 1925 2200 2800 3080 3850 4400 6160 7700 15400 30800 1010179 2020358 4040716 5050895 7071253 8081432 10101790 11111969 14142506 16162864 20203580 22223938 25254475 28285012 35356265 40407160 44447876 50508950 55559845 56570024 70712530 77783783 80814320 88895752 101017900 111119690 113140048 141425060 155567566 176781325 177791504 202035800 222239380 277799225 282850120 311135132 353562650 388918915 404071600 444478760 555598450 565700240 622270264 707125300 777837830 888957520 1111196900 1244540528 1414250600 1555675660 1944594575 2222393800 2828501200 3111351320 3889189150 4444787600 6222702640 7778378300 15556756600 31113513200