Search a number
-
+
102020012031312 = 24326710574213519
BaseRepresentation
bin10111001100100101100010…
…100100111011110101010000
3111101020000111001022220100200
4113030211202210323311100
5101332443441040000222
61000551202503015200
730326463001124034
oct2714454244736520
9441200431286320
10102020012031312
112a563498154311
12b5381b373a500
1344c05a470825b
141b29b1b3da1c4
15bbdb945e2eac
hex5cc96293bd50

102020012031312 has 60 divisors (see below), whose sum is σ = 289775747302080. Its totient is φ = 33499108425024.

The previous prime is 102020012031229. The next prime is 102020012031419. The reversal of 102020012031312 is 213130210020201.

102020012031312 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 200 + 120 + 31 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5287097112 + ... + 5287116407.

It is an arithmetic number, because the mean of its divisors is an integer number (4829595788368).

Almost surely, 2102020012031312 is an apocalyptic number.

102020012031312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102020012031312 is an abundant number, since it is smaller than the sum of its proper divisors (187755735270768).

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

102020012031312 is a wasteful number, since it uses less digits than its factorization.

102020012031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10574213600 (or 10574213591 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102020012031312 its reverse (213130210020201), we get a palindrome (315150222051513).

The spelling of 102020012031312 in words is "one hundred two trillion, twenty billion, twelve million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 10574213519 21148427038 31722640557 42296854076 63445281114 84593708152 95167921671 126890562228 169187416304 190335843342 253781124456 380671686684 507562248912 708472305773 761343373368 1416944611546 1522686746736 2125416917319 2833889223092 4250833834638 5667778446184 6376250751957 8501667669276 11335556892368 12752501503914 17003335338552 25505003007828 34006670677104 51010006015656 102020012031312