Search a number
-
+
3553201431 = 3313312511301
BaseRepresentation
bin1101001111001001…
…1000110100010111
3100011121222100001000
43103302120310113
524234104421211
61344325234343
7154023466563
oct32362306427
910147870030
103553201431
11156376490a
12831b629b3
134481a5c70
14259c8a6a3
1515be1a656
hexd3c98d17

3553201431 has 64 divisors (see below), whose sum is σ = 5879623680. Its totient is φ = 2106000000.

The previous prime is 3553201429. The next prime is 3553201439. The reversal of 3553201431 is 1341023553.

It is not a de Polignac number, because 3553201431 - 21 = 3553201429 is a prime.

It is a super-2 number, since 2×35532014312 = 25250480818520895522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3553201395 and 3553201404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3553201439) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2730481 + ... + 2731781.

It is an arithmetic number, because the mean of its divisors is an integer number (91869120).

Almost surely, 23553201431 is an apocalyptic number.

3553201431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3553201431 is a deficient number, since it is larger than the sum of its proper divisors (2326422249).

3553201431 is a wasteful number, since it uses less digits than its factorization.

3553201431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3553201431 is about 59608.7361969703. The cubic root of 3553201431 is about 1525.9487323795.

Adding to 3553201431 its reverse (1341023553), we get a palindrome (4894224984).

The spelling of 3553201431 in words is "three billion, five hundred fifty-three million, two hundred one thousand, four hundred thirty-one".

Divisors: 1 3 9 13 27 31 39 93 117 251 279 351 403 753 837 1209 1301 2259 3263 3627 3903 6777 7781 9789 10881 11709 16913 23343 29367 35127 40331 50739 70029 88101 101153 120993 152217 210087 303459 326551 362979 456651 524303 910377 979653 1088937 1572909 2731131 2938959 4245163 4718727 8816877 10123081 12735489 14156181 30369243 38206467 91107729 114619401 131600053 273323187 394800159 1184400477 3553201431