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2010311322201 = 3271310627230977
BaseRepresentation
bin11101010000001111111…
…001000110101001011001
321010011222001102021212100
4131100033321012221121
5230414104144302301
64135305124234013
7265145250203640
oct35201771065131
97104861367770
102010311322201
11705628372876
1228574123b909
131177578b4c60
146d42a0d2357
153745d384286
hex1d40fe46a59

2010311322201 has 48 divisors (see below), whose sum is σ = 3574238571904. Its totient is φ = 1060279621632.

The previous prime is 2010311322193. The next prime is 2010311322203. The reversal of 2010311322201 is 1022231130102.

2010311322201 is a `hidden beast` number, since 2 + 0 + 10 + 311 + 322 + 20 + 1 = 666.

It is not a de Polignac number, because 2010311322201 - 23 = 2010311322193 is a prime.

It is a super-2 number, since 2×20103113222012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2010311322203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8588025 + ... + 8819001.

Almost surely, 22010311322201 is an apocalyptic number.

2010311322201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2010311322201 is a deficient number, since it is larger than the sum of its proper divisors (1563927249703).

2010311322201 is a wasteful number, since it uses less digits than its factorization.

2010311322201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241630 (or 241627 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2010311322201 its reverse (1022231130102), we get a palindrome (3032542452303).

The spelling of 2010311322201 in words is "two trillion, ten billion, three hundred eleven million, three hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 10627 31881 74389 95643 138151 223167 230977 414453 669501 692931 967057 1243359 1616839 2078793 2901171 3002701 4850517 8703513 9008103 14551551 21018907 27024309 63056721 189170163 2454592579 7363777737 17182148053 22091333211 31909703527 51546444159 95729110581 154639332477 223367924689 287187331743 670103774067 2010311322201