Search a number
-
+
10131011230000 = 24541523665201
BaseRepresentation
bin1001001101101100111101…
…0100110101100100110000
31022212111220120222022020011
42103123033110311210300
52311441302333330000
633314042230224304
72063640621414133
oct223331724654460
938774816868204
1010131011230000
1132565a07a7221
12117755b1b5094
1358647269c8ab
142704b4a2a21a
151287e69552ba
hex936cf535930

10131011230000 has 100 divisors (see below), whose sum is σ = 24544333367928. Its totient is φ = 4049737600000.

The previous prime is 10131011229919. The next prime is 10131011230009. The reversal of 10131011230000 is 3211013101.

10131011230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×101310112300002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10131011230009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14897400 + ... + 15562600.

Almost surely, 210131011230000 is an apocalyptic number.

10131011230000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131011230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12272166683964).

10131011230000 is an abundant number, since it is smaller than the sum of its proper divisors (14413322137928).

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

10131011230000 is an equidigital number, since it uses as much as digits as its factorization.

10131011230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666752 (or 666731 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10131011230000 its reverse (3211013101), we get a palindrome (10134222243101).

The spelling of 10131011230000 in words is "ten trillion, one hundred thirty-one billion, eleven million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1523 2000 2500 3046 5000 6092 7615 10000 12184 15230 24368 30460 38075 60920 76150 121840 152300 190375 304600 380750 609200 665201 761500 951875 1330402 1523000 1903750 2660804 3046000 3326005 3807500 5321608 6652010 7615000 10643216 13304020 15230000 16630025 26608040 33260050 53216080 66520100 83150125 133040200 166300250 266080400 332600500 415750625 665201000 831501250 1013101123 1330402000 1663002500 2026202246 3326005000 4052404492 5065505615 6652010000 8104808984 10131011230 16209617968 20262022460 25327528075 40524044920 50655056150 81048089840 101310112300 126637640375 202620224600 253275280750 405240449200 506550561500 633188201875 1013101123000 1266376403750 2026202246000 2532752807500 5065505615000 10131011230000