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2121221999934 = 2321761711235167
BaseRepresentation
bin11110110111100010101…
…011110000110100111110
321111210020121102111020100
4132313202223300310332
5234223230312444214
64302250445101530
7306152600334342
oct36674253606476
97453217374210
102121221999934
11748672578604
122a3134b578a6
1312505197670b
147494c211622
153a2a03b7309
hex1ede2af0d3e

2121221999934 has 48 divisors (see below), whose sum is σ = 4874220344448. Its totient is φ = 664402776576.

The previous prime is 2121221999933. The next prime is 2121222000067. The reversal of 2121221999934 is 4399991221212.

It is a happy number.

2121221999934 is a `hidden beast` number, since 212 + 1 + 221 + 99 + 99 + 34 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121221999933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5428782 + ... + 5806385.

It is an arithmetic number, because the mean of its divisors is an integer number (101546257176).

Almost surely, 22121221999934 is an apocalyptic number.

2121221999934 is an abundant number, since it is smaller than the sum of its proper divisors (2752998344514).

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

2121221999934 is a wasteful number, since it uses less digits than its factorization.

2121221999934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235809 (or 11235806 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The spelling of 2121221999934 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-one million, nine hundred ninety-nine thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 617 1234 1851 3702 5553 10489 11106 20978 31467 62934 94401 188802 11235167 22470334 33705501 67411002 101116503 190997839 202233006 381995678 572993517 1145987034 1718980551 3437961102 6932098039 13864196078 20796294117 41592588234 62388882351 117845666663 124777764702 235691333326 353536999989 707073999978 1060610999967 2121221999934