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31222231300 = 225213132118181
BaseRepresentation
bin11101000100111111…
…010111000100000100
32222120221010200112001
4131010333113010010
51002420342400200
622202052435044
72153500405261
oct350477270404
988527120461
1031222231300
1112272154547
126074318a84
132c376714a0
1417228c4268
15c2b0a676a
hex744fd7104

31222231300 has 72 divisors (see below), whose sum is σ = 73023202952. Its totient is φ = 11518848000.

The previous prime is 31222231283. The next prime is 31222231319. The reversal of 31222231300 is 313222213.

It can be written as a sum of positive squares in 12 ways, for example, as 1160219844 + 30062011456 = 34062^2 + 173384^2 .

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 23 ways as a sum of consecutive naturals, for example, 1708210 + ... + 1726390.

Almost surely, 231222231300 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 31222231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36511601476).

31222231300 is an abundant number, since it is smaller than the sum of its proper divisors (41800971652).

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

31222231300 is a wasteful number, since it uses less digits than its factorization.

31222231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19529 (or 19522 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 31222231300 its reverse (313222213), we get a palindrome (31535453513).

The spelling of 31222231300 in words is "thirty-one billion, two hundred twenty-two million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1321 2642 5284 6605 13210 17173 18181 26420 33025 34346 36362 66050 68692 72724 85865 90905 132100 171730 181810 236353 343460 363620 429325 454525 472706 858650 909050 945412 1181765 1717300 1818100 2363530 4727060 5908825 11817650 23635300 24017101 48034202 96068404 120085505 240171010 312222313 480342020 600427525 624444626 1200855050 1248889252 1561111565 2401710100 3122223130 6244446260 7805557825 15611115650 31222231300