Search a number
-
+
3131442300 = 2235272276569
BaseRepresentation
bin1011101010100110…
…0000010001111100
322002020100202021110
42322221200101330
522403122123200
61234421402020
7140412551250
oct27251402174
98066322243
103131442300
111367687a48
12734869310
133ab9b664c
14219c60260
15134da9b50
hexbaa6047c

3131442300 has 144 divisors (see below), whose sum is σ = 10401834240. Its totient is φ = 712496640.

The previous prime is 3131442263. The next prime is 3131442317. The reversal of 3131442300 is 32441313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473416 + ... + 479984.

It is an arithmetic number, because the mean of its divisors is an integer number (72234960).

Almost surely, 23131442300 is an apocalyptic number.

3131442300 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 3131442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200917120).

3131442300 is an abundant number, since it is smaller than the sum of its proper divisors (7270391940).

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

3131442300 is a wasteful number, since it uses less digits than its factorization.

3131442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3131442300 is about 55959.2914536987. The cubic root of 3131442300 is about 1463.0128408196.

Adding to 3131442300 its reverse (32441313), we get a palindrome (3163883613).

The spelling of 3131442300 in words is "three billion, one hundred thirty-one million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 227 300 350 420 454 525 681 700 908 1050 1135 1362 1589 2100 2270 2724 3178 3405 4540 4767 5675 6356 6569 6810 7945 9534 11350 13138 13620 15890 17025 19068 19707 22700 23835 26276 31780 32845 34050 39414 39725 45983 47670 65690 68100 78828 79450 91966 95340 98535 119175 131380 137949 158900 164225 183932 197070 229915 238350 275898 328450 394140 459830 476700 492675 551796 656900 689745 919660 985350 1149575 1379490 1491163 1970700 2299150 2758980 2982326 3448725 4473489 4598300 5964652 6897450 7455815 8946978 10438141 13794900 14911630 17893956 20876282 22367445 29823260 31314423 37279075 41752564 44734890 52190705 62628846 74558150 89469780 104381410 111837225 125257692 149116300 156572115 208762820 223674450 260953525 313144230 447348900 521907050 626288460 782860575 1043814100 1565721150 3131442300