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3322120095 = 335721116661
BaseRepresentation
bin1100011000000011…
…1000011110011111
322120112011012001000
43012000320132133
523300430320340
61305352321343
7145216361220
oct30600703637
98515135030
103322120095
111455282aa8
127886a3253
1340c358748
142372d7247
151469c1d30
hexc603879f

3322120095 has 64 divisors (see below), whose sum is σ = 6782100480. Its totient is φ = 1511395200.

The previous prime is 3322120091. The next prime is 3322120099. The reversal of 3322120095 is 5900212233.

3322120095 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3322120091) and next prime (3322120099).

It is not a de Polignac number, because 3322120095 - 22 = 3322120091 is a prime.

It is a super-2 number, since 2×33221200952 = 22072963851205618050, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322120091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191065 + ... + 207725.

It is an arithmetic number, because the mean of its divisors is an integer number (105970320).

Almost surely, 23322120095 is an apocalyptic number.

3322120095 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3322120095 is an abundant number, since it is smaller than the sum of its proper divisors (3459980385).

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

3322120095 is a wasteful number, since it uses less digits than its factorization.

3322120095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16893 (or 16887 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3322120095 is about 57637.8356203631. The cubic root of 3322120095 is about 1492.1246650942.

The spelling of 3322120095 in words is "three billion, three hundred twenty-two million, one hundred twenty thousand, ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 211 315 633 945 1055 1477 1899 3165 4431 5697 7385 9495 13293 16661 22155 28485 39879 49983 66465 83305 116627 149949 199395 249915 349881 449847 583135 749745 1049643 1749405 2249235 3148929 3515471 5248215 10546413 15744645 17577355 24608297 31639239 52732065 73824891 94917717 123041485 158196195 221474673 369124455 474588585 664424019 1107373365 3322120095