Search a number
-
+
31000330100 = 22522910689769
BaseRepresentation
bin11100110111110000…
…110111111101110100
32222000110120221022002
4130313300313331310
51001442041030400
622124044354432
72145134313065
oct346760677564
988013527262
1031000330100
1112168972923
126011b45a18
132c006b95bc
14170124056c
15c16872ed5
hex737c37f74

31000330100 has 36 divisors (see below), whose sum is σ = 69590402700. Its totient is φ = 11972540160.

The previous prime is 31000330079. The next prime is 31000330121. The reversal of 31000330100 is 103300013.

It is an interprime number because it is at equal distance from previous prime (31000330079) and next prime (31000330121).

It can be written as a sum of positive squares in 6 ways, for example, as 457874404 + 30542455696 = 21398^2 + 174764^2 .

It is a super-2 number, since 2×310003301002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5341985 + ... + 5347784.

Almost surely, 231000330100 is an apocalyptic number.

It is an amenable number.

31000330100 is an abundant number, since it is smaller than the sum of its proper divisors (38590072600).

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

31000330100 is a wasteful number, since it uses less digits than its factorization.

31000330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10689812 (or 10689805 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 31000330100 its reverse (103300013), we get a palindrome (31103630113).

The spelling of 31000330100 in words is "thirty-one billion, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 10689769 21379538 42759076 53448845 106897690 213795380 267244225 310003301 534488450 620006602 1068976900 1240013204 1550016505 3100033010 6200066020 7750082525 15500165050 31000330100