Search a number
-
+
10212012210020 = 225601201849301
BaseRepresentation
bin1001010010011010101101…
…0111000011011101100100
31100011020222200121102200012
42110212223113003131210
52314303200111210040
633415200022305352
72102536116400625
oct224465327033544
940136880542605
1010212012210020
113287987736415
12118b1a6288258
13590cb0cc597a
1427439a6c9a4c
1512a987c4a865
hex949ab5c3764

10212012210020 has 24 divisors (see below), whose sum is σ = 21445286562168. Its totient is φ = 4084793280000.

The previous prime is 10212012210019. The next prime is 10212012210031. The reversal of 10212012210020 is 2001221021201.

10212012210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6128872630336 + 4083139579684 = 2475656^2 + 2020678^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10212012209977 and 10212012210004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11599370 + ... + 12448670.

It is an arithmetic number, because the mean of its divisors is an integer number (893553606757).

Almost surely, 210212012210020 is an apocalyptic number.

10212012210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212012210020 is an abundant number, since it is smaller than the sum of its proper divisors (11233274352148).

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

10212012210020 is a wasteful number, since it uses less digits than its factorization.

10212012210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450511 (or 1450509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10212012210020 its reverse (2001221021201), we get a palindrome (12213233231221).

The spelling of 10212012210020 in words is "ten trillion, two hundred twelve billion, twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 601201 849301 1202402 1698602 2404804 3006005 3397204 4246505 6012010 8493010 12024020 16986020 510600610501 1021201221002 2042402442004 2553003052505 5106006105010 10212012210020