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4022011200087 = 333120443235057
BaseRepresentation
bin111010100001110010100…
…011001000001001010111
3112020111111212122112001000
4322201302203020021113
51011344034331400322
612315404134234343
7563403121060116
oct72416243101127
915214455575030
104022011200087
1113107a8518021
1254b5ab4b59b3
1323237406c59a
14dc948797c7d
156e94d59c3ac
hex3a8728c8257

4022011200087 has 32 divisors (see below), whose sum is σ = 6151072962560. Its totient is φ = 2594707966080.

The previous prime is 4022011200083. The next prime is 4022011200089. The reversal of 4022011200087 is 7800021102204.

It is not a de Polignac number, because 4022011200087 - 22 = 4022011200083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4022011200087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022011200083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16993263 + ... + 17228319.

It is an arithmetic number, because the mean of its divisors is an integer number (192221030080).

Almost surely, 24022011200087 is an apocalyptic number.

4022011200087 is a deficient number, since it is larger than the sum of its proper divisors (2129061762473).

4022011200087 is a wasteful number, since it uses less digits than its factorization.

4022011200087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255540 (or 255534 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 4022011200087 in words is "four trillion, twenty-two billion, eleven million, two hundred thousand, eighty-seven".

Divisors: 1 3 9 27 31 93 279 837 20443 61329 183987 235057 551961 633733 705171 1901199 2115513 5703597 6346539 7286767 17110791 21860301 65580903 196742709 4805270251 14415810753 43247432259 129742296777 148963377781 446890133343 1340670400029 4022011200087