Search a number
-
+
311130213300 = 223252615667217
BaseRepresentation
bin1001000011100001100…
…11100100101110110100
31002202002012101110001100
410201300303210232310
520044143313311200
6354533052130100
731323045114654
oct4416063445664
91082065343040
10311130213300
1110aa49992295
1250370a66930
1323454a17b3a
14110b742a364
15815e8bed00
hex4870ce4bb4

311130213300 has 108 divisors (see below), whose sum is σ = 991207762636. Its totient is φ = 81607910400.

The previous prime is 311130213287. The next prime is 311130213307. The reversal of 311130213300 is 3312031113.

It is a happy number.

311130213300 is a `hidden beast` number, since 31 + 1 + 1 + 302 + 1 + 330 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 28161538596 + 282968674704 = 167814^2 + 531948^2 .

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 (311130213307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2778709 + ... + 2888508.

Almost surely, 2311130213300 is an apocalyptic number.

311130213300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311130213300 is an abundant number, since it is smaller than the sum of its proper divisors (680077549336).

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

311130213300 is a wasteful number, since it uses less digits than its factorization.

311130213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667298 (or 5667288 counting only the distinct ones).

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

Adding to 311130213300 its reverse (3312031113), we get a palindrome (314442244413).

The spelling of 311130213300 in words is "three hundred eleven billion, one hundred thirty million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 244 300 305 366 450 549 610 732 900 915 1098 1220 1525 1830 2196 2745 3050 3660 4575 5490 6100 9150 10980 13725 18300 27450 54900 5667217 11334434 17001651 22668868 28336085 34003302 51004953 56672170 68006604 85008255 102009906 113344340 141680425 170016510 204019812 255024765 283360850 340033020 345700237 425041275 510049530 566721700 691400474 850082550 1020099060 1037100711 1275123825 1382800948 1700165100 1728501185 2074201422 2550247650 3111302133 3457002370 4148402844 5100495300 5185503555 6222604266 6914004740 8642505925 10371007110 12445208532 15556510665 17285011850 20742014220 25927517775 31113021330 34570023700 51855035550 62226042660 77782553325 103710071100 155565106650 311130213300