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2012220212031 = 321967318755109
BaseRepresentation
bin11101010010000001101…
…010111100001100111111
321010100220002022221102200
4131102001222330030333
5230432011333241111
64140222354322543
7265243456410261
oct35220152741477
97110802287380
102012220212031
1170641793aa77
12285b94589453
131179a020bc73
146d56b831b31
1537520c4b256
hex1d481abc33f

2012220212031 has 48 divisors (see below), whose sum is σ = 3106211222400. Its totient is φ = 1251492099264.

The previous prime is 2012220212029. The next prime is 2012220212053. The reversal of 2012220212031 is 1302120222102.

2012220212031 is a `hidden beast` number, since 201 + 2 + 220 + 212 + 0 + 31 = 666.

It is not a de Polignac number, because 2012220212031 - 21 = 2012220212029 is a prime.

It is a super-2 number, since 2×20122202120312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2012220211995 and 2012220212013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012220212071) 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, 36485905 + ... + 36541013.

It is an arithmetic number, because the mean of its divisors is an integer number (64712733800).

Almost surely, 22012220212031 is an apocalyptic number.

2012220212031 is a deficient number, since it is larger than the sum of its proper divisors (1093991010369).

2012220212031 is a wasteful number, since it uses less digits than its factorization.

2012220212031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58388 (or 58385 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2012220212031 its reverse (1302120222102), we get a palindrome (3314340434133).

The spelling of 2012220212031 in words is "two trillion, twelve billion, two hundred twenty million, two hundred twelve thousand, thirty-one".

Divisors: 1 3 9 19 57 67 171 201 603 1273 3187 3819 9561 11457 28683 55109 60553 165327 181659 213529 495981 544977 640587 1047071 1921761 3141213 3692303 4057051 9423639 11076909 12171153 33230727 36513459 70153757 175632383 210461271 526897149 631383813 1580691447 3337015277 10011045831 11767369661 30033137493 35302108983 105906326949 223580023559 670740070677 2012220212031