Search a number
-
+
2631152156031 = 34731385338851
BaseRepresentation
bin100110010010011100111…
…000111011110101111111
3100022112110111222101210000
4212102130320323311333
5321102044422443111
65332422402045343
7361044255212310
oct46223470736577
910275414871700
102631152156031
11924957886283
12365b27649853
131611691991a9
14914c41b6607
1548697badc56
hex2649ce3bd7f

2631152156031 has 80 divisors (see below), whose sum is σ = 4638210193408. Its totient is φ = 1454599944000.

The previous prime is 2631152155993. The next prime is 2631152156033. The reversal of 2631152156031 is 1306512511362.

2631152156031 is a `hidden beast` number, since 2 + 6 + 3 + 11 + 52 + 1 + 560 + 31 = 666.

It is not a de Polignac number, because 2631152156031 - 234 = 2613972286847 is a prime.

It is a super-3 number, since 3×26311521560313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2631152156033) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67704756 + ... + 67743606.

Almost surely, 22631152156031 is an apocalyptic number.

2631152156031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2631152156031 is a deficient number, since it is larger than the sum of its proper divisors (2007058037377).

2631152156031 is a wasteful number, since it uses less digits than its factorization.

2631152156031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42754 (or 42745 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 2631152156031 its reverse (1306512511362), we get a palindrome (3937664667393).

The spelling of 2631152156031 in words is "two trillion, six hundred thirty-one billion, one hundred fifty-two million, one hundred fifty-six thousand, thirty-one".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 279 567 651 837 1953 2511 3853 5859 11559 17577 26971 34677 38851 80913 104031 116553 119443 242739 271957 312093 349659 358329 728217 815871 836101 1048977 1074987 1204381 2184651 2447613 2508303 3146931 3224961 3613143 7342839 7524909 8430667 9674883 10839429 22028517 22574727 25292001 32518287 67724181 75876003 97554861 149692903 227628009 449078709 682884027 1047850321 1347236127 3143550963 4041708381 4640479993 9430652889 12125125143 13921439979 28291958667 32483359951 41764319937 84875876001 97450079853 125292959811 292350239559 375878879433 877050718677 2631152156031