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31121331300 = 22335211526419
BaseRepresentation
bin11100111110111110…
…011101010001100100
32222022220021102202000
4130332332131101210
51002214030100200
622144050045300
72151133644213
oct347676352144
988286242660
1031121331300
11122201a8914
126046579830
132c1c7a4147
14171333b07a
15c222c5300
hex73ef9d464

31121331300 has 72 divisors (see below), whose sum is σ = 100049325600. Its totient is φ = 8299020960.

The previous prime is 31121331247. The next prime is 31121331323. The reversal of 31121331300 is 313312113.

It is a happy number.

31121331300 is a `hidden beast` number, since 3 + 11 + 21 + 331 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5760510 + ... + 5765909.

Almost surely, 231121331300 is an apocalyptic number.

31121331300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31121331300 is an abundant number, since it is smaller than the sum of its proper divisors (68927994300).

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

31121331300 is a wasteful number, since it uses less digits than its factorization.

31121331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11526442 (or 11526429 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31121331300 its reverse (313312113), we get a palindrome (31434643413).

The spelling of 31121331300 in words is "thirty-one billion, one hundred twenty-one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 11526419 23052838 34579257 46105676 57632095 69158514 103737771 115264190 138317028 172896285 207475542 230528380 288160475 311213313 345792570 414951084 518688855 576320950 622426626 691585140 864481425 1037377710 1152641900 1244853252 1556066565 1728962850 2074755420 2593444275 3112133130 3457925700 5186888550 6224266260 7780332825 10373777100 15560665650 31121331300