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3130221000 = 233532514157
BaseRepresentation
bin1011101010010011…
…0110000111001000
322002011001200222010
42322210312013020
522402314033000
61234335255520
7140366303514
oct27244660710
98064050863
103130221000
111366a23405
1273437a5a0
133ab67979a
14219a23144
15134c17d50
hexba9361c8

3130221000 has 128 divisors (see below), whose sum is σ = 9807557760. Its totient is φ = 831200000.

The previous prime is 3130220993. The next prime is 3130221007. The reversal of 3130221000 is 1220313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3130220993) and next prime (3130221007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3130221007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750922 + ... + 755078.

It is an arithmetic number, because the mean of its divisors is an integer number (76621545).

Almost surely, 23130221000 is an apocalyptic number.

3130221000 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 3130221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903778880).

3130221000 is an abundant number, since it is smaller than the sum of its proper divisors (6677336760).

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

3130221000 is a wasteful number, since it uses less digits than its factorization.

3130221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3130221000 is about 55948.3779925745. The cubic root of 3130221000 is about 1462.8226185780.

Adding to 3130221000 its reverse (1220313), we get a palindrome (3131441313).

The spelling of 3130221000 in words is "three billion, one hundred thirty million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 251 300 375 500 502 600 750 753 1000 1004 1255 1500 1506 2008 2510 3000 3012 3765 4157 5020 6024 6275 7530 8314 10040 12471 12550 15060 16628 18825 20785 24942 25100 30120 31375 33256 37650 41570 49884 50200 62355 62750 75300 83140 94125 99768 103925 124710 125500 150600 166280 188250 207850 249420 251000 311775 376500 415700 498840 519625 623550 753000 831400 1039250 1043407 1247100 1558875 2078500 2086814 2494200 3117750 3130221 4157000 4173628 5217035 6235500 6260442 8347256 10434070 12471000 12520884 15651105 20868140 25041768 26085175 31302210 41736280 52170350 62604420 78255525 104340700 125208840 130425875 156511050 208681400 260851750 313022100 391277625 521703500 626044200 782555250 1043407000 1565110500 3130221000