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31121002300 = 225231731131217
BaseRepresentation
bin11100111110111101…
…001100111100111100
32222022212122201102211
4130332331030330330
51002213434033200
622144035030204
72151131104063
oct347675147474
988285581384
1031121002300
111221aaa3713
12604643b364
132c1c6ba47b
1417132931da
15c2225caba
hex73ef4cf3c

31121002300 has 144 divisors (see below), whose sum is σ = 71349933312. Its totient is φ = 11766988800.

The previous prime is 31121002279. The next prime is 31121002309. The reversal of 31121002300 is 320012113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31121002309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25571292 + ... + 25572508.

It is an arithmetic number, because the mean of its divisors is an integer number (495485648).

Almost surely, 231121002300 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 31121002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35674966656).

31121002300 is an abundant number, since it is smaller than the sum of its proper divisors (40228931012).

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

31121002300 is a wasteful number, since it uses less digits than its factorization.

31121002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31121002300 its reverse (320012113), we get a palindrome (31441014413).

The spelling of 31121002300 in words is "thirty-one billion, one hundred twenty-one million, two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 73 100 113 124 146 155 226 292 310 365 452 565 620 730 775 1130 1217 1460 1550 1825 2260 2263 2434 2825 3100 3503 3650 4526 4868 5650 6085 7006 7300 8249 9052 11300 11315 12170 14012 16498 17515 22630 24340 30425 32996 35030 37727 41245 45260 56575 60850 70060 75454 82490 87575 88841 113150 121700 137521 150908 164980 175150 177682 188635 206225 226300 255719 275042 350300 355364 377270 412450 444205 511438 550084 687605 754540 824900 888410 943175 1022876 1278595 1375210 1776820 1886350 2221025 2557190 2750420 2754071 3438025 3772700 4263151 4442050 5114380 5508142 6392975 6876050 8526302 8884100 10039033 11016284 12785950 13752100 13770355 17052604 20078066 21315755 25571900 27540710 40156132 42631510 50195165 55081420 68851775 85263020 100390330 106578775 137703550 200780660 213157550 250975825 275407100 311210023 426315100 501951650 622420046 1003903300 1244840092 1556050115 3112100230 6224200460 7780250575 15560501150 31121002300