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3130221300 = 2235276113711
BaseRepresentation
bin1011101010010011…
…0110001011110100
322002011001201101020
42322210312023310
522402314040200
61234335301140
7140366304423
oct27244661364
98064051336
103130221300
111366a23658
1273437a7b0
133ab67996b
14219a232ba
15134c17ea0
hexba9362f4

3130221300 has 72 divisors (see below), whose sum is σ = 9069336192. Its totient is φ = 833568000.

The previous prime is 3130221293. The next prime is 3130221337. The reversal of 3130221300 is 31220313.

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 3130221300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221445 + ... + 235155.

Almost surely, 23130221300 is an apocalyptic number.

3130221300 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 3130221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534668096).

3130221300 is an abundant number, since it is smaller than the sum of its proper divisors (5939114892).

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

3130221300 is a wasteful number, since it uses less digits than its factorization.

3130221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14489 (or 14482 counting only the distinct ones).

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

The square root of 3130221300 is about 55948.3806736174. The cubic root of 3130221300 is about 1462.8226653102.

Adding to 3130221300 its reverse (31220313), we get a palindrome (3161441613).

The spelling of 3130221300 in words is "three billion, one hundred thirty million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 761 1522 2283 3044 3805 4566 7610 9132 11415 13711 15220 19025 22830 27422 38050 41133 45660 54844 57075 68555 76100 82266 114150 137110 164532 205665 228300 274220 342775 411330 685550 822660 1028325 1371100 2056650 4113300 10434071 20868142 31302213 41736284 52170355 62604426 104340710 125208852 156511065 208681420 260851775 313022130 521703550 626044260 782555325 1043407100 1565110650 3130221300