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2010312212131 = 157269183125997
BaseRepresentation
bin11101010000001111111…
…100011111111010100011
321010011222010002111121201
4131100033330133322203
5230414104411242011
64135305155302031
7265145260601326
oct35201774377243
97104863074551
102010312212131
11705628920453
122857415aa917
13117757b37042
146d42a2847bd
153745d4accc1
hex1d40ff1fea3

2010312212131 has 16 divisors (see below), whose sum is σ = 2031824813760. Its totient is φ = 1988918605440.

The previous prime is 2010312212057. The next prime is 2010312212137. The reversal of 2010312212131 is 1312122130102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2010312212131 is a prime.

It is a super-2 number, since 2×20103122121312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2010312212099 and 2010312212108.

It is not an unprimeable number, because it can be changed into a prime (2010312212137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77315625 + ... + 77341621.

It is an arithmetic number, because the mean of its divisors is an integer number (126989050860).

Almost surely, 22010312212131 is an apocalyptic number.

2010312212131 is a deficient number, since it is larger than the sum of its proper divisors (21512601629).

2010312212131 is a wasteful number, since it uses less digits than its factorization.

2010312212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28254.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2010312212131 its reverse (1312122130102), we get a palindrome (3322434342233).

The spelling of 2010312212131 in words is "two trillion, ten billion, three hundred twelve million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 157 269 1831 25997 42233 287467 492539 4081529 6993193 47600507 77328623 1097931301 7473279599 12804536383 2010312212131