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3121203712 = 2911283607
BaseRepresentation
bin1011101000001001…
…1100101000000000
322001112002120120111
42322002130220000
522343012004322
61233414121104
7140226536164
oct27202345000
98045076514
103121203712
111361924600
12731350194
133a9840303
14218756ca4
15134036177
hexba09ca00

3121203712 has 120 divisors (see below), whose sum is σ = 6948805248. Its totient is φ = 1399326720.

The previous prime is 3121203703. The next prime is 3121203713. The reversal of 3121203712 is 2173021213.

It is a happy number.

It is a super-2 number, since 2×31212037122 = 19483825223605157888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3121203713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5141713 + ... + 5142319.

Almost surely, 23121203712 is an apocalyptic number.

3121203712 is a gapful number since it is divisible by the number (32) 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 3121203712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474402624).

3121203712 is an abundant number, since it is smaller than the sum of its proper divisors (3827601536).

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

3121203712 is an equidigital number, since it uses as much as digits as its factorization.

3121203712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 3121203712 is about 55867.7340868591. The cubic root of 3121203712 is about 1461.4166071619.

Adding to 3121203712 its reverse (2173021213), we get a palindrome (5294224925).

The spelling of 3121203712 in words is "three billion, one hundred twenty-one million, two hundred three thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 121 128 166 176 242 256 332 352 484 512 607 664 704 913 968 1214 1328 1408 1826 1936 2428 2656 2816 3652 3872 4856 5312 5632 6677 7304 7744 9712 10043 10624 13354 14608 15488 19424 20086 21248 26708 29216 30976 38848 40172 42496 50381 53416 58432 61952 73447 77696 80344 100762 106832 116864 146894 155392 160688 201524 213664 233728 293788 310784 321376 403048 427328 467456 554191 587576 642752 806096 854656 1108382 1175152 1285504 1612192 1709312 2216764 2350304 2571008 3224384 3418624 4433528 4700608 5142016 6096101 6448768 8867056 9401216 12192202 12897536 17734112 18802432 24384404 25795072 35468224 37604864 48768808 70936448 97537616 141872896 195075232 283745792 390150464 780300928 1560601856 3121203712