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3213123420 = 223513171671451
BaseRepresentation
bin1011111110000100…
…0101111101011100
322021221001120201010
42333201011331130
523040024422140
61250500215220
7142424045523
oct27741057534
98257046633
103213123420
1113a97a7201
1275809a510
133c28b4c80
14226a434ba
1513c141880
hexbf845f5c

3213123420 has 192 divisors, whose sum is σ = 10327274496. Its totient is φ = 739430400.

The previous prime is 3213123367. The next prime is 3213123449. The reversal of 3213123420 is 243213123.

It is a super-2 number, since 2×32131234202 = 20648324224304992800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2213695 + ... + 2215145.

It is an arithmetic number, because the mean of its divisors is an integer number (53787888).

Almost surely, 23213123420 is an apocalyptic number.

3213123420 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 3213123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163637248).

3213123420 is an abundant number, since it is smaller than the sum of its proper divisors (7114151076).

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

3213123420 is a wasteful number, since it uses less digits than its factorization.

3213123420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1658 counting only the distinct ones).

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

The square root of 3213123420 is about 56684.4195524661. The cubic root of 3213123420 is about 1475.6243140910.

Adding to 3213123420 its reverse (243213123), we get a palindrome (3456336543).

The spelling of 3213123420 in words is "three billion, two hundred thirteen million, one hundred twenty-three thousand, four hundred twenty".