Search a number
-
+
122222021010984 = 23323154758969987
BaseRepresentation
bin11011110010100100001000…
…001001010110011000101000
3121000202022101210022211112100
4123302210020021112120220
5112004441144334322414
61111540004334413400
734513151422144356
oct3362441011263050
9530668353284470
10122222021010984
1135a420825a2724
121185b543661260
1353276442aa80b
1422278124907d6
15e1e41de86609
hex6f2908256628

122222021010984 has 48 divisors (see below), whose sum is σ = 341695972725120. Its totient is φ = 39426458389920.

The previous prime is 122222021010923. The next prime is 122222021011009. The reversal of 122222021010984 is 489010120222221.

It is a happy number.

122222021010984 is a `hidden beast` number, since 122 + 2 + 220 + 210 + 10 + 98 + 4 = 666.

122222021010984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 27379482762 + ... + 27379487225.

It is an arithmetic number, because the mean of its divisors is an integer number (7118666098440).

Almost surely, 2122222021010984 is an apocalyptic number.

It is an amenable number.

122222021010984 is an abundant number, since it is smaller than the sum of its proper divisors (219473951714136).

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

122222021010984 is a wasteful number, since it uses less digits than its factorization.

122222021010984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54758970030 (or 54758970023 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 122222021010984 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, twenty-one million, ten thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 54758969987 109517939974 164276909961 219035879948 328553819922 438071759896 492830729883 657107639844 985661459766 1314215279688 1697528069597 1971322919532 3395056139194 3942645839064 5092584208791 6790112278388 10185168417582 13580224556776 15277752626373 20370336835164 30555505252746 40740673670328 61111010505492 122222021010984