Search a number
-
+
102142024524 = 223223123359933
BaseRepresentation
bin101111100100000100…
…0111001101101001100
3100202122110020110111100
41133020020321231030
53133141324241044
6114531242023100
710244113611651
oct1371010715514
9322573213440
10102142024524
113a355567901
12179671a7a90
13982a522787
144d2d729c28
1529cc303869
hex17c8239b4c

102142024524 has 36 divisors (see below), whose sum is σ = 269418095856. Its totient is φ = 32567022048.

The previous prime is 102142024519. The next prime is 102142024529. The reversal of 102142024524 is 425420241201.

It is a happy number.

102142024524 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 202 + 452 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (102142024519) and next prime (102142024529).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1021420245242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102142024529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61679139 + ... + 61680794.

It is an arithmetic number, because the mean of its divisors is an integer number (7483835996).

Almost surely, 2102142024524 is an apocalyptic number.

It is an amenable number.

102142024524 is an abundant number, since it is smaller than the sum of its proper divisors (167276071332).

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

102142024524 is a wasteful number, since it uses less digits than its factorization.

102142024524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123359966 (or 123359961 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 102142024524 its reverse (425420241201), we get a palindrome (527562265725).

The spelling of 102142024524 in words is "one hundred two billion, one hundred forty-two million, twenty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 123359933 246719866 370079799 493439732 740159598 1110239397 1480319196 2220478794 2837278459 4440957588 5674556918 8511835377 11349113836 17023670754 25535506131 34047341508 51071012262 102142024524