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3121023420 = 2233543257523
BaseRepresentation
bin1011101000000111…
…0000100110111100
322001111202102021000
42322001300212330
522342440222140
61233410210300
7140225155434
oct27201604674
98044672230
103121023420
1113618110a9
12731283990
133a97a9228
1421870b2c4
15133eeca30
hexba0709bc

3121023420 has 192 divisors, whose sum is σ = 9993392640. Its totient is φ = 808206336.

The previous prime is 3121023419. The next prime is 3121023427. The reversal of 3121023420 is 243201213.

3121023420 is a `hidden beast` number, since 31 + 210 + 2 + 3 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3121023393 and 3121023402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121023427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5967279 + ... + 5967801.

It is an arithmetic number, because the mean of its divisors is an integer number (52048920).

Almost surely, 23121023420 is an apocalyptic number.

3121023420 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 3121023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996696320).

3121023420 is an abundant number, since it is smaller than the sum of its proper divisors (6872369220).

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

3121023420 is a wasteful number, since it uses less digits than its factorization.

3121023420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3121023420 is about 55866.1205025013. The cubic root of 3121023420 is about 1461.3884677195.

Adding to 3121023420 its reverse (243201213), we get a palindrome (3364224633).

The spelling of 3121023420 in words is "three billion, one hundred twenty-one million, twenty-three thousand, four hundred twenty".