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3142222413 = 3111929259101
BaseRepresentation
bin1011101101001010…
…1000001001001101
322002222122102210220
42323102220021031
522413402104123
61235444421553
7140603310201
oct27322501115
98088572726
103142222413
111372780230
127383a78b9
133b0cbc305
1421b468b01
15135cd8ce3
hexbb4a824d

3142222413 has 96 divisors (see below), whose sum is σ = 5117299200. Its totient is φ = 1695456000.

The previous prime is 3142222397. The next prime is 3142222429.

It is a happy number.

3142222413 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3142222397) and next prime (3142222429).

It is not a de Polignac number, because 3142222413 - 24 = 3142222397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142222483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31111063 + ... + 31111163.

It is an arithmetic number, because the mean of its divisors is an integer number (53305200).

Almost surely, 23142222413 is an apocalyptic number.

3142222413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3142222413 is a deficient number, since it is larger than the sum of its proper divisors (1975076787).

3142222413 is a wasteful number, since it uses less digits than its factorization.

3142222413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 222 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3142222413 is about 56055.5297272267. The cubic root of 3142222413 is about 1464.6897443921.

It can be divided in two parts, 31422 and 22413, that added together give a palindrome (53835).

The spelling of 3142222413 in words is "three billion, one hundred forty-two million, two hundred twenty-two thousand, four hundred thirteen".

Divisors: 1 3 11 19 29 33 57 59 87 101 177 209 303 319 551 627 649 841 957 1111 1121 1653 1711 1919 1947 2523 2929 3333 3363 5133 5757 5959 6061 8787 9251 12331 15979 17877 18183 18821 21109 27753 32219 32509 36993 47937 49619 55651 56463 63327 65549 84941 96657 97527 113221 148857 166953 172811 175769 196647 254823 339663 357599 518433 527307 545809 612161 934351 942761 1072797 1245431 1613879 1637427 1836483 1900921 2803053 2828283 3283409 3736293 4841637 5011519 5702763 9850227 10370371 15034557 17752669 31111113 36117499 53258007 55126709 95218861 108352497 165380127 285656583 1047407471 3142222413