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31023012300 = 2235273301487
BaseRepresentation
bin11100111001000111…
…011001100111001100
32222002001021022102120
4130321013121213030
51002013342343200
622130214452540
72145531153000
oct347107314714
988061238376
1031023012300
111217a755345
126019664150
132c052cb817
141704266700
15c188539a0
hex7391d99cc

31023012300 has 144 divisors (see below), whose sum is σ = 104676633600. Its totient is φ = 7090950720.

The previous prime is 31023012289. The next prime is 31023012301. The reversal of 31023012300 is 321032013.

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 31023012300.

It is not an unprimeable number, because it can be changed into a prime (31023012301) 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 47 ways as a sum of consecutive naturals, for example, 47844 + ... + 253643.

Almost surely, 231023012300 is an apocalyptic number.

31023012300 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 31023012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52338316800).

31023012300 is an abundant number, since it is smaller than the sum of its proper divisors (73653621300).

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

31023012300 is a wasteful number, since it uses less digits than its factorization.

31023012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301525 (or 301504 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31023012300 its reverse (321032013), we get a palindrome (31344044313).

The spelling of 31023012300 in words is "thirty-one billion, twenty-three million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 343 350 420 490 525 588 686 700 735 980 1029 1050 1225 1372 1470 1715 2058 2100 2450 2940 3430 3675 4116 4900 5145 6860 7350 8575 10290 14700 17150 20580 25725 34300 51450 102900 301487 602974 904461 1205948 1507435 1808922 2110409 3014870 3617844 4220818 4522305 6029740 6331227 7537175 8441636 9044610 10552045 12662454 14772863 15074350 18089220 21104090 22611525 25324908 29545726 30148700 31656135 42208180 44318589 45223050 52760225 59091452 63312270 73864315 88637178 90446100 103410041 105520450 126624540 147728630 158280675 177274356 206820082 211040900 221592945 295457260 310230123 316561350 369321575 413640164 443185890 517050205 620460246 633122700 738643150 886371780 1034100410 1107964725 1240920492 1477286300 1551150615 2068200820 2215929450 2585251025 3102301230 4431858900 5170502050 6204602460 7755753075 10341004100 15511506150 31023012300