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202022012012112 = 24321402930638973
BaseRepresentation
bin101101111011110011101010…
…010000110100011001010000
3222111022010010100221222112100
4231323303222100310121100
5202434412040033341422
61553355344152200400
760360415533661155
oct5573635220643120
9874263110858470
10202022012012112
1159409066094686
121a7a9277099100
138895794cbc896
1437c5cbbaa022c
1518550c976e7ac
hexb7bcea434650

202022012012112 has 30 divisors (see below), whose sum is σ = 565381047506522. Its totient is φ = 67340670670656.

The previous prime is 202022012012077. The next prime is 202022012012113. The reversal of 202022012012112 is 211210210220202.

It is a happy number.

202022012012112 is a `hidden beast` number, since 202 + 0 + 220 + 120 + 12 + 112 = 666.

202022012012112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 201200153726016 + 821858286096 = 14184504^2 + 906564^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202022012012113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 701465319343 + ... + 701465319630.

Almost surely, 2202022012012112 is an apocalyptic number.

It is an amenable number.

202022012012112 is an abundant number, since it is smaller than the sum of its proper divisors (363359035494410).

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

202022012012112 is a wasteful number, since it uses less digits than its factorization.

202022012012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402930638987 (or 1402930638978 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202022012012112 its reverse (211210210220202), we get a palindrome (413232222232314).

The spelling of 202022012012112 in words is "two hundred two trillion, twenty-two billion, twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1402930638973 2805861277946 4208791916919 5611722555892 8417583833838 11223445111784 12626375750757 16835167667676 22446890223568 25252751501514 33670335335352 50505503003028 67340670670704 101011006006056 202022012012112