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3130011400 = 235227495693
BaseRepresentation
bin1011101010010000…
…0010111100001000
322002010200001110011
42322210002330020
522402240331100
61234331001304
7140364441445
oct27244027410
98063601404
103130011400
11136689a98a
12734299234
133ab605269
142199aa9cc
15134bc5bba
hexba902f08

3130011400 has 48 divisors (see below), whose sum is σ = 7281202500. Its totient is φ = 1251329280.

The previous prime is 3130011377. The next prime is 3130011421. The reversal of 3130011400 is 41100313.

It can be written as a sum of positive squares in 6 ways, for example, as 140327716 + 2989683684 = 11846^2 + 54678^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546954 + ... + 552646.

Almost surely, 23130011400 is an apocalyptic number.

It is an amenable number.

3130011400 is an abundant number, since it is smaller than the sum of its proper divisors (4151191100).

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

3130011400 is a wasteful number, since it uses less digits than its factorization.

3130011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8458 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3130011400 is about 55946.5048059305. The cubic root of 3130011400 is about 1462.7899675857.

Adding to 3130011400 its reverse (41100313), we get a palindrome (3171111713).

The spelling of 3130011400 in words is "three billion, one hundred thirty million, eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2749 5498 5693 10996 11386 13745 21992 22772 27490 28465 45544 54980 56930 68725 109960 113860 137450 142325 227720 274900 284650 549800 569300 1138600 15650057 31300114 62600228 78250285 125200456 156500570 313001140 391251425 626002280 782502850 1565005700 3130011400