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126220244130 = 232561127181031
BaseRepresentation
bin111010110001101010…
…0000001010010100010
3110001210111122202022200
41311203110001102202
54031444340303010
6133552413514030
712055566241641
oct1654324012242
9401714582280
10126220244130
1149591045652
1220566aa2916
13bb96aa79b6
1461754c7358
15343b0e5cc0
hex1d635014a2

126220244130 has 96 divisors (see below), whose sum is σ = 336180768768. Its totient is φ = 32846083200.

The previous prime is 126220244071. The next prime is 126220244141. The reversal of 126220244130 is 31442022621.

126220244130 is a `hidden beast` number, since 1 + 2 + 6 + 220 + 24 + 413 + 0 = 666.

126220244130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 126220244094 and 126220244103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 606715 + ... + 787745.

It is an arithmetic number, because the mean of its divisors is an integer number (3501883008).

Almost surely, 2126220244130 is an apocalyptic number.

126220244130 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 126220244130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168090384384).

126220244130 is an abundant number, since it is smaller than the sum of its proper divisors (209960524638).

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

126220244130 is a wasteful number, since it uses less digits than its factorization.

126220244130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181232 (or 181229 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 126220244130 its reverse (31442022621), we get a palindrome (157662266751).

The spelling of 126220244130 in words is "one hundred twenty-six billion, two hundred twenty million, two hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 127 183 254 305 366 381 549 610 635 762 915 1098 1143 1270 1830 1905 2286 2745 3810 5490 5715 7747 11430 15494 23241 38735 46482 69723 77470 116205 139446 181031 232410 348615 362062 543093 697230 905155 1086186 1629279 1810310 2715465 3258558 5430930 8146395 11042891 16292790 22085782 22990937 33128673 45981874 55214455 66257346 68972811 99386019 110428910 114954685 137945622 165643365 198772038 206918433 229909370 331286730 344864055 413836866 496930095 689728110 993860190 1034592165 1402447157 2069184330 2804894314 4207341471 7012235785 8414682942 12622024413 14024471570 21036707355 25244048826 42073414710 63110122065 126220244130