Search a number
-
+
31000213002 = 2311191011571559
BaseRepresentation
bin11100110111110000…
…011011011000001010
32222000110100222200010
4130313300123120022
51001442023304002
622124042052350
72145133314513
oct346760333012
988013328603
1031000213002
11121688a2950
126011aaa0b6
132c00678205
14170120da0a
15c1684d46c
hex737c1b60a

31000213002 has 128 divisors (see below), whose sum is σ = 72405964800. Its totient is φ = 8749728000.

The previous prime is 31000212979. The next prime is 31000213033. The reversal of 31000213002 is 20031200013.

It is a happy number.

It is a super-2 number, since 2×310002130022 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19883899 + ... + 19885457.

It is an arithmetic number, because the mean of its divisors is an integer number (565671600).

Almost surely, 231000213002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31000213002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36202982400).

31000213002 is an abundant number, since it is smaller than the sum of its proper divisors (41405751798).

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

31000213002 is a wasteful number, since it uses less digits than its factorization.

31000213002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31000213002 its reverse (20031200013), we get a palindrome (51031413015).

The spelling of 31000213002 in words is "thirty-one billion, two hundred thirteen thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 101 114 157 202 209 303 314 418 471 606 627 942 1111 1254 1559 1727 1919 2222 2983 3118 3333 3454 3838 4677 5181 5757 5966 6666 8949 9354 10362 11514 15857 17149 17898 21109 29621 31714 32813 34298 42218 47571 51447 59242 63327 65626 88863 95142 98439 102894 126654 157459 174427 177726 196878 244763 301283 314918 325831 348854 472377 489526 523281 602566 651662 734289 903849 944754 977493 1046562 1468578 1732049 1807698 1954986 2692393 2991721 3314113 3464098 4650497 5196147 5384786 5983442 6628226 8077179 8975163 9300994 9942339 10392294 13951491 16154358 17950326 19884678 24721063 27902982 32908931 49442126 51155467 65817862 74163189 98726793 102310934 148326378 153466401 197453586 271931693 306932802 469700197 543863386 815795079 939400394 1409100591 1631590158 2818201182 5166702167 10333404334 15500106501 31000213002