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3220131120 = 2435130110313
BaseRepresentation
bin1011111111101111…
…0100110100110000
322022102020121110120
42333323310310300
523043323143440
61251310330240
7142540443243
oct27773646460
98272217416
103220131120
111402753198
1275a4b9980
133c419983b
1422794925a
1513ca77dd0
hexbfef4d30

3220131120 has 80 divisors (see below), whose sum is σ = 9991048032. Its totient is φ = 857958400.

The previous prime is 3220131119. The next prime is 3220131121. The reversal of 3220131120 is 211310223.

It is an interprime number because it is at equal distance from previous prime (3220131119) and next prime (3220131121).

It is a tau number, because it is divible by the number of its divisors (80).

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 3220131120.

It is not an unprimeable number, because it can be changed into a prime (3220131121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307084 + ... + 317396.

Almost surely, 23220131120 is an apocalyptic number.

3220131120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3220131120 is an abundant number, since it is smaller than the sum of its proper divisors (6770916912).

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

3220131120 is a wasteful number, since it uses less digits than its factorization.

3220131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11630 (or 11624 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3220131120 is about 56746.1991678738. The cubic root of 3220131120 is about 1476.6962953244.

Adding to 3220131120 its reverse (211310223), we get a palindrome (3431441343).

The spelling of 3220131120 in words is "three billion, two hundred twenty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1301 2602 3903 5204 6505 7806 10313 10408 13010 15612 19515 20626 20816 26020 30939 31224 39030 41252 51565 52040 61878 62448 78060 82504 103130 104080 123756 154695 156120 165008 206260 247512 309390 312240 412520 495024 618780 825040 1237560 2475120 13417213 26834426 40251639 53668852 67086065 80503278 107337704 134172130 161006556 201258195 214675408 268344260 322013112 402516390 536688520 644026224 805032780 1073377040 1610065560 3220131120