Search a number
-
+
12202100130 = 23511371636131
BaseRepresentation
bin10110101110100110…
…10100010110100010
31011111101101220121110
423113103110112202
5144442214201010
65334445204150
7611244065643
oct132723242642
934441356543
1012202100130
1151a1849480
122446560656
1311c5ca59bc
1483a7c96ca
154b6392120
hex2d74d45a2

12202100130 has 128 divisors (see below), whose sum is σ = 33017435136. Its totient is φ = 2860012800.

The previous prime is 12202100129. The next prime is 12202100147. The reversal of 12202100130 is 3100120221.

12202100130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1987165 + ... + 1993295.

It is an arithmetic number, because the mean of its divisors is an integer number (257948712).

Almost surely, 212202100130 is an apocalyptic number.

12202100130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508717568).

12202100130 is an abundant number, since it is smaller than the sum of its proper divisors (20815335006).

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

12202100130 is a wasteful number, since it uses less digits than its factorization.

12202100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12202100130 its reverse (3100120221), we get a palindrome (15302220351).

The spelling of 12202100130 in words is "twelve billion, two hundred two million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 163 165 185 222 326 330 370 407 489 555 814 815 978 1110 1221 1630 1793 2035 2442 2445 3586 4070 4890 5379 6031 6105 6131 8965 10758 12062 12210 12262 17930 18093 18393 26895 30155 30655 36186 36786 53790 60310 61310 66341 67441 90465 91965 132682 134882 180930 183930 199023 202323 226847 331705 337205 398046 404646 453694 663410 674410 680541 995115 999353 1011615 1134235 1361082 1990230 1998706 2023230 2268470 2495317 2998059 3402705 4990634 4996765 5996118 6805410 7485951 9993530 10992883 12476585 14971902 14990295 21985766 24953170 29980590 32978649 36976061 37429755 54964415 65957298 73952122 74859510 109928830 110928183 164893245 184880305 221856366 329786490 369760610 406736671 554640915 813473342 1109281830 1220210013 2033683355 2440420026 4067366710 6101050065 12202100130