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31330111200 = 2535267194839
BaseRepresentation
bin11101001011011010…
…111000111011100000
32222212110010112220220
4131023122320323200
51003131002024300
622220505003040
72156250360033
oct351332707340
988773115826
1031330111200
1112318038293
1260a4483480
132c53b1384b
141732d6701a
15c357b5da0
hex74b6b8ee0

31330111200 has 144 divisors (see below), whose sum is σ = 103502125440. Its totient is φ = 8229957120.

The previous prime is 31330111103. The next prime is 31330111207. The reversal of 31330111200 is 211103313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31330111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31330111207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63381 + ... + 258219.

It is an arithmetic number, because the mean of its divisors is an integer number (718764760).

Almost surely, 231330111200 is an apocalyptic number.

31330111200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31330111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51751062720).

31330111200 is an abundant number, since it is smaller than the sum of its proper divisors (72172014240).

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

31330111200 is a wasteful number, since it uses less digits than its factorization.

31330111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194929 (or 194916 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31330111200 its reverse (211103313), we get a palindrome (31541214513).

The spelling of 31330111200 in words is "thirty-one billion, three hundred thirty million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 67 75 80 96 100 120 134 150 160 200 201 240 268 300 335 400 402 480 536 600 670 800 804 1005 1072 1200 1340 1608 1675 2010 2144 2400 2680 3216 3350 4020 5025 5360 6432 6700 8040 10050 10720 13400 16080 20100 26800 32160 40200 53600 80400 160800 194839 389678 584517 779356 974195 1169034 1558712 1948390 2338068 2922585 3117424 3896780 4676136 4870975 5845170 6234848 7793560 9352272 9741950 11690340 13054213 14612925 15587120 18704544 19483900 23380680 26108426 29225850 31174240 38967800 39162639 46761360 52216852 58451700 65271065 77935600 78325278 93522720 104433704 116903400 130542130 155871200 156650556 195813195 208867408 233806800 261084260 313301112 326355325 391626390 417734816 467613600 522168520 626602224 652710650 783252780 979065975 1044337040 1253204448 1305421300 1566505560 1958131950 2088674080 2610842600 3133011120 3916263900 5221685200 6266022240 7832527800 10443370400 15665055600 31330111200