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31311222000 = 243535218537
BaseRepresentation
bin11101001010010010…
…110101010011110000
32222211010120212210220
4131022102311103300
51003111133101000
622214552053040
72155630665342
oct351222652360
988733525726
1031311222000
1112308406583
12609a094180
132c4cc2bbc6
14173064b292
15c33cd41a0
hex74a4b54f0

31311222000 has 80 divisors (see below), whose sum is σ = 100947399072. Its totient is φ = 8349657600.

The previous prime is 31311221993. The next prime is 31311222043. The reversal of 31311222000 is 22211313.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2603269 + ... + 2615268.

Almost surely, 231311222000 is an apocalyptic number.

31311222000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31311222000 is an abundant number, since it is smaller than the sum of its proper divisors (69636177072).

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

31311222000 is a wasteful number, since it uses less digits than its factorization.

31311222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5218563 (or 5218547 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31311222000 its reverse (22211313), we get a palindrome (31333433313).

The spelling of 31311222000 in words is "thirty-one billion, three hundred eleven million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 5218537 10437074 15655611 20874148 26092685 31311222 41748296 52185370 62622444 78278055 83496592 104370740 125244888 130463425 156556110 208741480 250489776 260926850 313112220 391390275 417482960 521853700 626224440 652317125 782780550 1043707400 1252448880 1304634250 1565561100 1956951375 2087414800 2609268500 3131122200 3913902750 5218537000 6262244400 7827805500 10437074000 15655611000 31311222000