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10031030023113 = 32116183137146077
BaseRepresentation
bin1001000111111000011111…
…1110110011001111001001
31022111221211201200202021200
42101332013332303033021
52303322022141214423
633200105214054413
72053501163240061
oct221760776631711
938457751622250
1010031030023113
113218154a37720
1211600b77aa409
13579bcaa40148
1426970c29c3a1
15125de41cdd43
hex91f87fb33c9

10031030023113 has 96 divisors (see below), whose sum is σ = 16377947494272. Its totient is φ = 5864542387200.

The previous prime is 10031030023109. The next prime is 10031030023141. The reversal of 10031030023113 is 31132003013001.

It is a happy number.

10031030023113 is a `hidden beast` number, since 10 + 0 + 310 + 30 + 0 + 2 + 311 + 3 = 666.

It is not a de Polignac number, because 10031030023113 - 22 = 10031030023109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10031030023513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68596431 + ... + 68742507.

It is an arithmetic number, because the mean of its divisors is an integer number (170603619732).

Almost surely, 210031030023113 is an apocalyptic number.

It is an amenable number.

10031030023113 is a deficient number, since it is larger than the sum of its proper divisors (6346917471159).

10031030023113 is a wasteful number, since it uses less digits than its factorization.

10031030023113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146375 (or 146372 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10031030023113 its reverse (31132003013001), we get a palindrome (41163033036114).

The spelling of 10031030023113 in words is "ten trillion, thirty-one billion, thirty million, twenty-three thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 61 83 99 137 183 249 411 549 671 747 913 1233 1507 2013 2739 4521 5063 6039 8217 8357 11371 13563 15189 25071 34113 45567 55693 75213 91927 102339 125081 146077 167079 275781 375243 438231 501237 693631 827343 1125729 1314693 1606847 2080893 4820541 6242679 7629941 8910697 12124391 14461623 20012549 22889823 26732091 36373173 60037647 68669469 80196273 98017667 109119519 133368301 180112941 220138039 294053001 400104903 660414117 739587851 882159003 1200314709 1220765489 1661041567 1981242351 2218763553 3662296467 4983124701 6656290659 8135466361 10986889401 13428420379 14949374103 18271457237 24406399083 40285261137 54814371711 73219197249 101323535587 120855783411 164443115133 303970606761 911911820283 1114558891457 3343676674371 10031030023113