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102320142142024 = 2367736497517637
BaseRepresentation
bin10111010000111101000011…
…101110011100101001001000
3111102021201011122002020110001
4113100331003232130221020
5101402403122342021044
61001341120244532344
730360246336021052
oct2720750356345110
9442251148066401
10102320142142024
112a669801838724
12b5863b46b10b4
134512995490b41
141b3a46d92a8d2
15bc68ad4032d4
hex5d0f43b9ca48

102320142142024 has 32 divisors (see below), whose sum is σ = 192139285033080. Its totient is φ = 51083003905024.

The previous prime is 102320142142021. The next prime is 102320142142073. The reversal of 102320142142024 is 420241241023201.

It can be written as a sum of positive squares in 4 ways, for example, as 60875105062500 + 41445037079524 = 7802250^2 + 6437782^2 .

It is a super-2 number, since 2×1023201421420242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102320142141983 and 102320142142001.

It is not an unprimeable number, because it can be changed into a prime (102320142142021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197408934 + ... + 197926570.

Almost surely, 2102320142142024 is an apocalyptic number.

It is an amenable number.

102320142142024 is a deficient number, since it is larger than the sum of its proper divisors (89819142891056).

102320142142024 is a wasteful number, since it uses less digits than its factorization.

102320142142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554817 (or 554813 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 102320142142024 its reverse (420241241023201), we get a palindrome (522561383165225).

The spelling of 102320142142024 in words is "one hundred two trillion, three hundred twenty billion, one hundred forty-two million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 4 8 677 1354 2708 5416 36497 72994 145988 291976 517637 1035274 2070548 4141096 24708469 49416938 98833876 197667752 350440249 700880498 1401760996 2803521992 18892197589 37784395178 75568790356 151137580712 12790017767753 25580035535506 51160071071012 102320142142024