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20120331 = 3721123541
BaseRepresentation
bin100110011000…
…0001100001011
31101212012220110
41030300030023
520122322311
61555125403
7333006600
oct114601413
941765813
1020120331
11103a2780
1268a3863
13422612a
14295a6a7
151b768a6
hex133030b

20120331 has 48 divisors (see below), whose sum is σ = 35589888. Its totient is φ = 9979200.

The previous prime is 20120323. The next prime is 20120363. The reversal of 20120331 is 13302102.

It is a happy number.

It is not a de Polignac number, because 20120331 - 23 = 20120323 is a prime.

It is a super-2 number, since 2×201203312 = 809655439099122, which contains 22 as substring.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (20120531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36921 + ... + 37461.

It is an arithmetic number, because the mean of its divisors is an integer number (741456).

Almost surely, 220120331 is an apocalyptic number.

20120331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20120331 is a deficient number, since it is larger than the sum of its proper divisors (15469557).

20120331 is a wasteful number, since it uses less digits than its factorization.

20120331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 585 counting only the distinct ones).

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

The square root of 20120331 is about 4485.5691946508. The cubic root of 20120331 is about 271.9850545061.

Adding to 20120331 its reverse (13302102), we get a palindrome (33422433).

The spelling of 20120331 in words is "twenty million, one hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 23 33 49 69 77 147 161 231 253 483 539 541 759 1127 1617 1623 1771 3381 3787 5313 5951 11361 12397 12443 17853 26509 37191 37329 41657 79527 87101 124971 136873 261303 291599 410619 609707 874797 958111 1829121 2874333 6706777 20120331