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10032203414013 = 31117235741135431
BaseRepresentation
bin1001000111111100110111…
…1010111011100111111101
31022112001212111122011222220
42101333031322323213331
52303331423033222023
633200421451555553
72053542232011564
oct221771572734775
938461774564886
1010032203414013
1132186a7319670
12116038475bbb9
1357a056b78ba1
142697c0062bdb
15125e622103e3
hex91fcdebb9fd

10032203414013 has 64 divisors (see below), whose sum is σ = 16125361680384. Its totient is φ = 5472672128000.

The previous prime is 10032203414003. The next prime is 10032203414041. The reversal of 10032203414013 is 31041430223001.

It is a happy number.

It is not a de Polignac number, because 10032203414013 - 216 = 10032203348477 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032203414003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74008408 + ... + 74143838.

It is an arithmetic number, because the mean of its divisors is an integer number (251958776256).

Almost surely, 210032203414013 is an apocalyptic number.

It is an amenable number.

10032203414013 is a deficient number, since it is larger than the sum of its proper divisors (6093158266371).

10032203414013 is a wasteful number, since it uses less digits than its factorization.

10032203414013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141226.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10032203414013 its reverse (31041430223001), we get a palindrome (41073633637014).

The spelling of 10032203414013 in words is "ten trillion, thirty-two billion, two hundred three million, four hundred fourteen thousand, thirteen".

Divisors: 1 3 11 17 23 33 51 69 187 253 391 561 759 1173 4301 5741 12903 17223 63151 97597 132043 135431 189453 292791 396129 406293 1073567 1452473 1489741 2244731 2302327 3114913 3220701 4357419 4469223 6734193 6906981 9344739 24692041 25325597 34264043 52953521 74076123 75976791 102792129 158860563 582488731 777509371 1747466193 2332528113 8552603081 13217659307 17882715533 25657809243 39652977921 53648146599 145394252377 196709870863 304006164061 436182757131 590129612589 912018492183 3344067804671 10032203414013