Search a number
-
+
31001000200 = 2352157987293
BaseRepresentation
bin11100110111110011…
…011011100100001000
32222000111211222111121
4130313303123210020
51001442224001300
622124111005024
72145143103532
oct346763334410
988014758447
1031001000200
1112169290325
126012209774
132c00892601
141701376852
15c1695681a
hex737cdb908

31001000200 has 48 divisors (see below), whose sum is σ = 72536490180. Its totient is φ = 12321404160.

The previous prime is 31001000189. The next prime is 31001000213. The reversal of 31001000200 is 200010013.

It can be written as a sum of positive squares in 6 ways, for example, as 2122076356 + 28878923844 = 46066^2 + 169938^2 .

It is a super-2 number, since 2×310010002002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462247 + ... + 525046.

Almost surely, 231001000200 is an apocalyptic number.

It is an amenable number.

31001000200 is an abundant number, since it is smaller than the sum of its proper divisors (41535489980).

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

31001000200 is a wasteful number, since it uses less digits than its factorization.

31001000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987466 (or 987457 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 31001000200 its reverse (200010013), we get a palindrome (31201010213).

The spelling of 31001000200 in words is "thirty-one billion, one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 6280 7850 15700 31400 987293 1974586 3949172 4936465 7898344 9872930 19745860 24682325 39491720 49364650 98729300 155005001 197458600 310010002 620020004 775025005 1240040008 1550050010 3100100020 3875125025 6200200040 7750250050 15500500100 31001000200