Search a number
-
+
10123131300111 = 343671300926177
BaseRepresentation
bin1001001101001111100110…
…1001010010100100001111
31022211202120102111101120000
42103103321221102210033
52311324133103100421
633310300300055343
72063241426206454
oct223237151224417
938752512441500
1010123131300111
113253217789275
121175b20234553
135857b7ca959b
1426dd6829982b
151284d4c76226
hex934f9a5290f

10123131300111 has 40 divisors (see below), whose sum is σ = 15165158331840. Its totient is φ = 6729590771712.

The previous prime is 10123131300091. The next prime is 10123131300131. The reversal of 10123131300111 is 11100313132101.

10123131300111 is a `hidden beast` number, since 1 + 0 + 123 + 131 + 300 + 111 = 666.

10123131300111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10123131300091) and next prime (10123131300131).

It is not a de Polignac number, because 10123131300111 - 213 = 10123131291919 is a prime.

It is a super-2 number, since 2×101231313001112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123131300131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 386705455 + ... + 386731631.

It is an arithmetic number, because the mean of its divisors is an integer number (379128958296).

Almost surely, 210123131300111 is an apocalyptic number.

10123131300111 is a deficient number, since it is larger than the sum of its proper divisors (5042027031729).

10123131300111 is a wasteful number, since it uses less digits than its factorization.

10123131300111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39565 (or 39556 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10123131300111 its reverse (11100313132101), we get a palindrome (21223444432212).

The spelling of 10123131300111 in words is "ten trillion, one hundred twenty-three billion, one hundred thirty-one million, three hundred thousand, one hundred eleven".

Divisors: 1 3 9 27 81 367 1101 3303 9909 13009 26177 29727 39027 78531 117081 235593 351243 706779 1053729 2120337 4774303 9606959 14322909 28820877 42968727 86462631 128906181 259387893 340536593 386718543 778163679 1021609779 3064829337 9194488011 27583464033 124976929631 374930788893 1124792366679 3374377100037 10123131300111