Search a number
-
+
102010103331021 = 346771860242233
BaseRepresentation
bin10111001100011100010011…
…111110001111100011001101
3111101012001220111100202220000
4113030130103332033203031
5101332313142423043041
61000542443341114513
730325662312430014
oct2714342376174315
9441161814322800
10102010103331021
112a55a272a29106
12b5362a9258a39
1344bc6859064a2
141b2945b441a7b
15bbd7b476bbb6
hex5cc713f8f8cd

102010103331021 has 20 divisors (see below), whose sum is σ = 152610552392892. Its totient is φ = 67906282436928.

The previous prime is 102010103330983. The next prime is 102010103331023. The reversal of 102010103331021 is 120133301010201.

102010103331021 is a `hidden beast` number, since 10 + 201 + 0 + 103 + 331 + 0 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72426142226025 + 29583961104996 = 8510355^2 + 5439114^2 .

It is not a de Polignac number, because 102010103331021 - 215 = 102010103298253 is a prime.

It is a super-2 number, since 2×1020101033310212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102010103330985 and 102010103331003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010103331023) 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, 930066280 + ... + 930175953.

Almost surely, 2102010103331021 is an apocalyptic number.

It is an amenable number.

102010103331021 is a deficient number, since it is larger than the sum of its proper divisors (50600449061871).

102010103331021 is an equidigital number, since it uses as much as digits as its factorization.

102010103331021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860242922 (or 1860242913 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102010103331021 its reverse (120133301010201), we get a palindrome (222143404341222).

The spelling of 102010103331021 in words is "one hundred two trillion, ten billion, one hundred three million, three hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 27 81 677 2031 6093 18279 54837 1860242233 5580726699 16742180097 50226540291 150679620873 1259383991741 3778151975223 11334455925669 34003367777007 102010103331021