Search a number
-
+
10023130033011 = 324179343834861
BaseRepresentation
bin1001000111011011000100…
…0110101110101101110011
31022111012110011110200011200
42101312301012232231303
52303204332242024021
633152321245542243
72053101335363004
oct221666106565563
938435404420150
1010023130033011
113214870668187
12115a671b74983
1357923c1451a4
1426919cdc91ab
15125ad088b126
hex91db11aeb73

10023130033011 has 24 divisors (see below), whose sum is σ = 15018706772160. Its totient is φ = 6436588579200.

The previous prime is 10023130032961. The next prime is 10023130033087. The reversal of 10023130033011 is 11033003132001.

It is a happy number.

10023130033011 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 31 + 300 + 330 + 1 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10023130033011 is a prime.

It is a super-2 number, since 2×100231300330112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10023130038011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171888280 + ... + 171946581.

It is an arithmetic number, because the mean of its divisors is an integer number (625779448840).

Almost surely, 210023130033011 is an apocalyptic number.

10023130033011 is a deficient number, since it is larger than the sum of its proper divisors (4995576739149).

10023130033011 is a wasteful number, since it uses less digits than its factorization.

10023130033011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343834987 (or 343834984 counting only the distinct ones).

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

Adding to 10023130033011 its reverse (11033003132001), we get a palindrome (21056133165012).

The spelling of 10023130033011 in words is "ten trillion, twenty-three billion, one hundred thirty million, thirty-three thousand, eleven".

Divisors: 1 3 9 41 79 123 237 369 711 3239 9717 29151 343834861 1031504583 3094513749 14097229301 27162954019 42291687903 81488862057 126875063709 244466586171 1113681114779 3341043344337 10023130033011