Search a number
-
+
10000102000210 = 2572171200492437
BaseRepresentation
bin1001000110000101010010…
…0001110000011001010010
31022102000000022011101210221
42101201110201300121102
52302320202103001320
633133552231143254
72051324564340100
oct221412441603122
938360008141727
1010000102000210
113206023971313
121156105b14b2a
1357700c31c58a
142680168c0c70
151251d3d903aa
hex91854870652

10000102000210 has 48 divisors (see below), whose sum is σ = 22170694344984. Its totient is φ = 3226923667968.

The previous prime is 10000102000199. The next prime is 10000102000241. The reversal of 10000102000210 is 1200020100001.

It can be written as a sum of positive squares in 4 ways, for example, as 6365897363329 + 3634204636881 = 2523073^2 + 1906359^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10000102000193 and 10000102000202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600237889 + ... + 600254548.

Almost surely, 210000102000210 is an apocalyptic number.

10000102000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000102000210 is an abundant number, since it is smaller than the sum of its proper divisors (12170592344774).

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

10000102000210 is a wasteful number, since it uses less digits than its factorization.

10000102000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200492475 (or 1200492468 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10000102000210 its reverse (1200020100001), we get a palindrome (11200122100211).

The spelling of 10000102000210 in words is "ten trillion, one hundred two million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 490 595 833 1190 1666 4165 8330 1200492437 2400984874 6002462185 8403447059 12004924370 16806894118 20408371429 40816742858 42017235295 58824129413 84034470590 102041857145 117648258826 142858600003 204083714290 285717200006 294120647065 588241294130 714293000015 1000010200021 1428586000030 2000020400042 5000051000105 10000102000210