Search a number
-
+
10021010210010 = 2325438819293617
BaseRepresentation
bin1001000111010011001011…
…0000001111110011011010
31022110222222102122111200200
42101310302300033303122
52303141012103210020
633151331042443030
72052664655235012
oct221646260176332
938428872574620
1010021010210010
11321398301a848
12115a180063476
13578c91c06657
1426903b65cc42
15125a0970a590
hex91d32c0fcda

10021010210010 has 96 divisors (see below), whose sum is σ = 26663661984960. Its totient is φ = 2609818735104.

The previous prime is 10021010209997. The next prime is 10021010210117. The reversal of 10021010210010 is 1001201012001.

It is a happy number.

10021010210010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10021010209974 and 10021010210001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33982722 + ... + 34276338.

It is an arithmetic number, because the mean of its divisors is an integer number (277746479010).

Almost surely, 210021010210010 is an apocalyptic number.

10021010210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021010210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13331830992480).

10021010210010 is an abundant number, since it is smaller than the sum of its proper divisors (16642651774950).

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

10021010210010 is a wasteful number, since it uses less digits than its factorization.

10021010210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302492 (or 302489 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10021010210010 its reverse (1001201012001), we get a palindrome (11022211222011).

The spelling of 10021010210010 in words is "ten trillion, twenty-one billion, ten million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 8819 17638 26457 44095 52914 79371 88190 132285 158742 264570 293617 379217 396855 587234 758434 793710 880851 1137651 1468085 1761702 1896085 2275302 2642553 2936170 3412953 3792170 4404255 5285106 5688255 6825906 8808510 11376510 12625531 13212765 17064765 25251062 26425530 34129530 37876593 63127655 75753186 113629779 126255310 189382965 227259558 378765930 568148895 1136297790 2589408323 5178816646 7768224969 12947041615 15536449938 23304674907 25894083230 38841124845 46609349814 77682249690 111344557889 116523374535 222689115778 233046749070 334033673667 556722789445 668067347334 1002101021001 1113445578890 1670168368335 2004202042002 3340336736670 5010505105005 10021010210010