Search a number
-
+
31630020030 = 23257109460609
BaseRepresentation
bin11101011101010010…
…111100110110111110
310000122100110111111100
4131131102330312332
51004234241120110
622310341033530
72166551506560
oct353522746676
9100570414440
1031630020030
111246135a224
1261689b58a6
132ca0cabcab
141760b15330
15c51ca7bc0
hex75d4bcdbe

31630020030 has 96 divisors (see below), whose sum is σ = 94848811200. Its totient is φ = 7163375616.

The previous prime is 31630020013. The next prime is 31630020041. The reversal of 31630020030 is 3002003613.

It is a happy number.

31630020030 is a `hidden beast` number, since 3 + 1 + 630 + 0 + 2 + 0 + 0 + 30 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31630019985 and 31630020012.

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 47 ways as a sum of consecutive naturals, for example, 161635 + ... + 298974.

It is an arithmetic number, because the mean of its divisors is an integer number (988008450).

Almost surely, 231630020030 is an apocalyptic number.

31630020030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31630020030 is an abundant number, since it is smaller than the sum of its proper divisors (63218791170).

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

31630020030 is a wasteful number, since it uses less digits than its factorization.

31630020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460738 (or 460735 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31630020030 its reverse (3002003613), we get a palindrome (34632023643).

The spelling of 31630020030 in words is "thirty-one billion, six hundred thirty million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 109 126 210 218 315 327 545 630 654 763 981 1090 1526 1635 1962 2289 3270 3815 4578 4905 6867 7630 9810 11445 13734 22890 34335 68670 460609 921218 1381827 2303045 2763654 3224263 4145481 4606090 6448526 6909135 8290962 9672789 13818270 16121315 19345578 20727405 29018367 32242630 41454810 48363945 50206381 58036734 96727890 100412762 145091835 150619143 251031905 290183670 301238286 351444667 451857429 502063810 702889334 753095715 903714858 1054334001 1506191430 1757223335 2108668002 2259287145 3163002003 3514446670 4518574290 5271670005 6326004006 10543340010 15815010015 31630020030