Search a number
-
+
3121086180 = 2235795231259
BaseRepresentation
bin1011101000000111…
…1111111011100100
322001111212121100110
42322001333323210
522342444224210
61233411413020
7140225536422
oct27201777344
98044777313
103121086180
111361854273
127312b4170
133a97cb974
14218726112
15134011420
hexba07fee4

3121086180 has 96 divisors (see below), whose sum is σ = 8873625600. Its totient is φ = 819531648.

The previous prime is 3121086161. The next prime is 3121086203. The reversal of 3121086180 is 816801213.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 2478391 + ... + 2479649.

It is an arithmetic number, because the mean of its divisors is an integer number (92433600).

Almost surely, 23121086180 is an apocalyptic number.

3121086180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121086180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436812800).

3121086180 is an abundant number, since it is smaller than the sum of its proper divisors (5752539420).

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

3121086180 is a wasteful number, since it uses less digits than its factorization.

3121086180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 3121086180 is about 55866.6821996796. The cubic root of 3121086180 is about 1461.3982632377.

Adding to 3121086180 its reverse (816801213), we get a palindrome (3937887393).

The spelling of 3121086180 in words is "three billion, one hundred twenty-one million, eighty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 523 790 948 1046 1185 1259 1569 1580 2092 2370 2518 2615 3138 3777 4740 5036 5230 6276 6295 7554 7845 10460 12590 15108 15690 18885 25180 31380 37770 41317 75540 82634 99461 123951 165268 198922 206585 247902 298383 397844 413170 495804 497305 596766 619755 658457 826340 994610 1193532 1239510 1316914 1491915 1975371 1989220 2479020 2633828 2983830 3292285 3950742 5967660 6584570 7901484 9876855 13169140 19753710 39507420 52018103 104036206 156054309 208072412 260090515 312108618 520181030 624217236 780271545 1040362060 1560543090 3121086180