Search a number
-
+
10002010212110 = 257238353295733
BaseRepresentation
bin1001000110001100011001…
…0001000000011100001110
31022102011221021210121102202
42101203012101000130032
52302333104103241420
633134505434521502
72051423065021100
oct221430621003416
938364837717382
1010002010212110
113206913016144
121156558b96292
13577254769b47
142681580c5570
15125296671575
hex918c644070e

10002010212110 has 48 divisors (see below), whose sum is σ = 20997666464256. Its totient is φ = 3420306896832.

The previous prime is 10002010212049. The next prime is 10002010212121. The reversal of 10002010212110 is 1121201020001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10002010212091 and 10002010212100.

It is a congruent number.

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, 26460197 + ... + 26835536.

It is an arithmetic number, because the mean of its divisors is an integer number (437451384672).

Almost surely, 210002010212110 is an apocalyptic number.

10002010212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002010212110 is an abundant number, since it is smaller than the sum of its proper divisors (10995656252146).

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

10002010212110 is a wasteful number, since it uses less digits than its factorization.

10002010212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53296137 (or 53296130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002010212110 its reverse (1121201020001), we get a palindrome (11123211232111).

The spelling of 10002010212110 in words is "ten trillion, two billion, ten million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 383 490 766 1915 2681 3830 5362 13405 18767 26810 37534 93835 187670 53295733 106591466 266478665 373070131 532957330 746140262 1865350655 2611490917 3730701310 5222981834 13057454585 20412265739 26114909170 40824531478 102061328695 142885860173 204122657390 285771720346 714429300865 1000201021211 1428858601730 2000402042422 5001005106055 10002010212110