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3121341340 = 22513293471193
BaseRepresentation
bin1011101000001011…
…1110001110011100
322001112100120100211
42322002332032130
522343030410330
61233421102204
7140230651345
oct27202761634
98045316324
103121341340
111361a08a47
127313b7964
133a988ab50
142187910cc
15134061d2a
hexba0be39c

3121341340 has 96 divisors (see below), whose sum is σ = 7329631680. Its totient is φ = 1108617216.

The previous prime is 3121341283. The next prime is 3121341359. The reversal of 3121341340 is 431431213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2615784 + ... + 2616976.

It is an arithmetic number, because the mean of its divisors is an integer number (76350330).

Almost surely, 23121341340 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 3121341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664815840).

3121341340 is an abundant number, since it is smaller than the sum of its proper divisors (4208290340).

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

3121341340 is a wasteful number, since it uses less digits than its factorization.

3121341340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3121341340 is about 55868.9658039237. The cubic root of 3121341340 is about 1461.4380870040.

Adding to 3121341340 its reverse (431431213), we get a palindrome (3552772553).

The spelling of 3121341340 in words is "three billion, one hundred twenty-one million, three hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 347 377 580 694 754 1193 1388 1508 1735 1885 2386 3470 3770 4511 4772 5965 6940 7540 9022 10063 11930 15509 18044 20126 22555 23860 31018 34597 40252 45110 50315 62036 69194 77545 90220 100630 130819 138388 155090 172985 201260 261638 310180 345970 413971 449761 523276 654095 691940 827942 899522 1308190 1655884 1799044 2069855 2248805 2616380 4139710 4497610 5381623 8279420 8995220 10763246 12005159 21526492 24010318 26908115 48020636 53816230 60025795 107632460 120051590 156067067 240103180 312134134 624268268 780335335 1560670670 3121341340