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13402112031 = 3271143944053
BaseRepresentation
bin11000111101101010…
…00000000000011111
31021121000102211110200
430132311000000133
5204421420041111
610053513434543
7653055033630
oct143665000037
937530384420
1013402112031
115758163150
12272040ba53
1313577a2709
14911d1d887
155368d1256
hex31ed4001f

13402112031 has 48 divisors (see below), whose sum is σ = 24190932480. Its totient is φ = 6946119360.

The previous prime is 13402111969. The next prime is 13402112071. The reversal of 13402112031 is 13021120431.

It is not a de Polignac number, because 13402112031 - 29 = 13402111519 is a prime.

It is a super-2 number, since 2×134021120312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13402111995 and 13402112013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402112071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282201 + ... + 326253.

It is an arithmetic number, because the mean of its divisors is an integer number (503977760).

Almost surely, 213402112031 is an apocalyptic number.

13402112031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13402112031 is a deficient number, since it is larger than the sum of its proper divisors (10788820449).

13402112031 is a wasteful number, since it uses less digits than its factorization.

13402112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44516 (or 44513 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13402112031 its reverse (13021120431), we get a palindrome (26423232462).

The spelling of 13402112031 in words is "thirteen billion, four hundred two million, one hundred twelve thousand, thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 439 693 1317 3073 3951 4829 9219 14487 27657 33803 43461 44053 101409 132159 304227 308371 396477 484583 925113 1453749 2775339 3392081 4361247 10176243 19339267 30528729 58017801 135374869 174053403 212731937 406124607 638195811 1218373821 1489123559 1914587433 4467370677 13402112031