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3133022100 = 22352131942281
BaseRepresentation
bin1011101010111110…
…0001111110010100
322002100100000100120
42322233201332110
522404023201400
61234515311540
7140432151135
oct27257417624
98070300316
103133022100
11136856696a
127352ab5b0
133ac11a740
1421a151c8c
151350bcca0
hexbabe1f94

3133022100 has 144 divisors (see below), whose sum is σ = 10276217280. Its totient is φ = 730598400.

The previous prime is 3133022083. The next prime is 3133022117. The reversal of 3133022100 is 12203313.

It is an interprime number because it is at equal distance from previous prime (3133022083) and next prime (3133022117).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3133022100.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 52960 + ... + 95240.

It is an arithmetic number, because the mean of its divisors is an integer number (71362620).

Almost surely, 23133022100 is an apocalyptic number.

3133022100 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 3133022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138108640).

3133022100 is an abundant number, since it is smaller than the sum of its proper divisors (7143195180).

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

3133022100 is a wasteful number, since it uses less digits than its factorization.

3133022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42330 (or 42323 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3133022100 is about 55973.4052921564. The cubic root of 3133022100 is about 1463.2588274820.

Adding to 3133022100 its reverse (12203313), we get a palindrome (3145225413).

The spelling of 3133022100 in words is "three billion, one hundred thirty-three million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 95 100 114 130 150 156 190 195 228 247 260 285 300 325 380 390 475 494 570 650 741 780 950 975 988 1140 1235 1300 1425 1482 1900 1950 2470 2850 2964 3705 3900 4940 5700 6175 7410 12350 14820 18525 24700 37050 42281 74100 84562 126843 169124 211405 253686 422810 507372 549653 634215 803339 845620 1057025 1099306 1268430 1606678 1648959 2114050 2198612 2410017 2536860 2748265 3171075 3213356 3297918 4016695 4228100 4820034 5496530 6342150 6595836 8033390 8244795 9640068 10443407 10993060 12050085 12684300 13741325 16066780 16489590 20083475 20886814 24100170 27482650 31330221 32979180 40166950 41223975 41773628 48200340 52217035 54965300 60250425 62660442 80333900 82447950 104434070 120500850 125320884 156651105 164895900 208868140 241001700 261085175 313302210 522170350 626604420 783255525 1044340700 1566511050 3133022100