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3121133420 = 2251928329023
BaseRepresentation
bin1011101000001000…
…1011011101101100
322001111222000011002
42322002023131230
522343002232140
61233412415432
7140226124226
oct27202133554
98044860132
103121133420
111361886809
12731317578
133a9817312
14218739416
15134020415
hexba08b76c

3121133420 has 48 divisors (see below), whose sum is σ = 6923965440. Its totient is φ = 1178525376.

The previous prime is 3121133387. The next prime is 3121133429. The reversal of 3121133420 is 243311213.

3121133420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3121133392 and 3121133401.

It is not an unprimeable number, because it can be changed into a prime (3121133429) 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, 93029 + ... + 122051.

It is an arithmetic number, because the mean of its divisors is an integer number (144249280).

Almost surely, 23121133420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461982720).

3121133420 is an abundant number, since it is smaller than the sum of its proper divisors (3802832020).

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

3121133420 is a wasteful number, since it uses less digits than its factorization.

3121133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29334 (or 29332 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3121133420 is about 55867.1049903250. The cubic root of 3121133420 is about 1461.4056363232.

Adding to 3121133420 its reverse (243311213), we get a palindrome (3364444633).

The spelling of 3121133420 in words is "three billion, one hundred twenty-one million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 283 380 566 1132 1415 2830 5377 5660 10754 21508 26885 29023 53770 58046 107540 116092 145115 290230 551437 580460 1102874 2205748 2757185 5514370 8213509 11028740 16427018 32854036 41067545 82135090 156056671 164270180 312113342 624226684 780283355 1560566710 3121133420