Search a number
-
+
31021230006 = 23213241248723
BaseRepresentation
bin11100111001000000…
…100110011110110110
32222001220220202120200
4130321000212132312
51002012413330011
622130112341330
72145510050544
oct347100463666
988056822520
1031021230006
1112179748278
126018b44846
132c04b26500
141703d20d94
15c18600856
hex7390267b6

31021230006 has 72 divisors (see below), whose sum is σ = 74556013896. Its totient is φ = 9312151680.

The previous prime is 31021229999. The next prime is 31021230041. The reversal of 31021230006 is 60003212013.

It is a super-2 number, since 2×310212300062 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 361 + ... + 249083.

It is an arithmetic number, because the mean of its divisors is an integer number (1035500193).

Almost surely, 231021230006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31021230006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37278006948).

31021230006 is an abundant number, since it is smaller than the sum of its proper divisors (43534783890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31021230006 is a wasteful number, since it uses less digits than its factorization.

31021230006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248798 (or 248782 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31021230006 its reverse (60003212013), we get a palindrome (91024442019).

The spelling of 31021230006 in words is "thirty-one billion, twenty-one million, two hundred thirty thousand, six".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 169 234 246 338 369 507 533 738 1014 1066 1521 1599 3042 3198 4797 6929 9594 13858 20787 41574 62361 124722 248723 497446 746169 1492338 2238507 3233399 4477014 6466798 9700197 10197643 19400394 20395286 29100591 30592929 42034187 58201182 61185858 84068374 91778787 126102561 132569359 183557574 252205122 265138718 378307683 397708077 756615366 795416154 1193124231 1723401667 2386248462 3446803334 5170205001 10340410002 15510615003 31021230006