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3121177092 = 2231123169341
BaseRepresentation
bin1011101000001001…
…0110001000000100
322001112001020001120
42322002112020010
522343010131332
61233413353540
7140226365445
oct27202261004
98045036046
103121177092
111361906600
127313388b0
133a9831167
1421874b2cc
1513402d32c
hexba096204

3121177092 has 72 divisors (see below), whose sum is σ = 8263347456. Its totient is φ = 915288000.

The previous prime is 3121177021. The next prime is 3121177099. The reversal of 3121177092 is 2907711213.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3121177099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10342 + ... + 79682.

Almost surely, 23121177092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121177092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131673728).

3121177092 is an abundant number, since it is smaller than the sum of its proper divisors (5142170364).

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

3121177092 is a wasteful number, since it uses less digits than its factorization.

3121177092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69401 (or 69388 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 3121177092 is about 55867.4958450797. The cubic root of 3121177092 is about 1461.4124524592.

The spelling of 3121177092 in words is "three billion, one hundred twenty-one million, one hundred seventy-seven thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 372 484 682 726 1023 1364 1452 2046 3751 4092 7502 11253 15004 22506 45012 69341 138682 208023 277364 416046 762751 832092 1525502 2149571 2288253 3051004 4299142 4576506 6448713 8390261 8598284 9153012 12897426 16780522 23645281 25170783 25794852 33561044 47290562 50341566 70935843 94581124 100683132 141871686 260098091 283743372 520196182 780294273 1040392364 1560588546 3121177092