Search a number
-
+
31223013300 = 2234523854693
BaseRepresentation
bin11101000101000010…
…010101111110110100
32222120222121102020000
4131011002111332310
51002421042411200
622202121311300
72153510143203
oct350502257664
988528542200
1031223013300
1112272639026
126074635530
132c378863cb
141722a4923a
15c2b1ad300
hex745095fb4

31223013300 has 90 divisors (see below), whose sum is σ = 101212700358. Its totient is φ = 8326134720.

The previous prime is 31223013277. The next prime is 31223013301. The reversal of 31223013300 is 331032213.

31223013300 is a `hidden beast` number, since 31 + 2 + 2 + 301 + 330 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 144144036 + 31078869264 = 12006^2 + 176292^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31223013301) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1919247 + ... + 1935446.

Almost surely, 231223013300 is an apocalyptic number.

31223013300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31223013300 is an abundant number, since it is smaller than the sum of its proper divisors (69989687058).

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

31223013300 is a wasteful number, since it uses less digits than its factorization.

31223013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854719 (or 3854703 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31223013300 its reverse (331032213), we get a palindrome (31554045513).

The spelling of 31223013300 in words is "thirty-one billion, two hundred twenty-three million, thirteen 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 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 3854693 7709386 11564079 15418772 19273465 23128158 34692237 38546930 46256316 57820395 69384474 77093860 96367325 104076711 115640790 138768948 173461185 192734650 208153422 231281580 289101975 312230133 346922370 385469300 416306844 520383555 578203950 624460266 693844740 867305925 1040767110 1156407900 1248920532 1561150665 1734611850 2081534220 2601917775 3122301330 3469223700 5203835550 6244602660 7805753325 10407671100 15611506650 31223013300