Search a number
-
+
10031312001333 = 3717531972691209
BaseRepresentation
bin1001000111111001100011…
…0010011101100100110101
31022111222120101021201200110
42101332120302131210311
52303323111333020313
633200153205533233
72053511156100030
oct221763062354465
938458511251613
1010031312001333
11321828a122077
121160176114219
13579c4429b06c
14269737900017
15125e0dd2cec3
hex91f98c9d935

10031312001333 has 64 divisors (see below), whose sum is σ = 16574064376320. Its totient is φ = 5266328051712.

The previous prime is 10031312001331. The next prime is 10031312001343. The reversal of 10031312001333 is 33310021313001.

It is not a de Polignac number, because 10031312001333 - 21 = 10031312001331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031312001331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2381833 + ... + 5073041.

It is an arithmetic number, because the mean of its divisors is an integer number (258969755880).

Almost surely, 210031312001333 is an apocalyptic number.

It is an amenable number.

10031312001333 is a deficient number, since it is larger than the sum of its proper divisors (6542752374987).

10031312001333 is a wasteful number, since it uses less digits than its factorization.

10031312001333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691486.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10031312001333 its reverse (33310021313001), we get a palindrome (43341333314334).

The spelling of 10031312001333 in words is "ten trillion, thirty-one billion, three hundred twelve million, one thousand, three hundred thirty-three".

Divisors: 1 3 7 17 21 51 53 119 159 197 357 371 591 901 1113 1379 2703 3349 4137 6307 10047 10441 18921 23443 31323 70329 73087 177497 219261 532491 1242479 2691209 3727437 8073627 18838463 45750553 56515389 137251659 142634077 320253871 427902231 530168173 960761613 998438539 1590504519 2424779309 2995315617 3711177211 7274337927 9012858941 11133531633 16973455163 27038576823 28098913169 50920365489 63090012587 84296739507 189270037761 196692392183 477681523873 590077176549 1433044571619 3343770667111 10031312001333