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123105301540 = 225139733114747
BaseRepresentation
bin111001010100110100…
…1011101010000100100
3102202202102100021101121
41302221221131100210
54004104424122130
6132315341503324
711615443540444
oct1625151352044
9382672307347
10123105301540
1148232808131
121ba37871b44
13b7bb64a4c0
145d5b920124
1533078e9d7a
hex1ca9a5d424

123105301540 has 96 divisors (see below), whose sum is σ = 282146465664. Its totient is φ = 44846714880.

The previous prime is 123105301537. The next prime is 123105301573. The reversal of 123105301540 is 45103501321.

It is a happy number.

123105301540 is digitally balanced in base 3, 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 31 ways as a sum of consecutive naturals, for example, 8340447 + ... + 8355193.

It is an arithmetic number, because the mean of its divisors is an integer number (2939025684).

Almost surely, 2123105301540 is an apocalyptic number.

123105301540 is a gapful number since it is divisible by the number (10) 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 123105301540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141073232832).

123105301540 is an abundant number, since it is smaller than the sum of its proper divisors (159041164124).

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

123105301540 is a wasteful number, since it uses less digits than its factorization.

123105301540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15197 (or 15195 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 123105301540 its reverse (45103501321), we get a palindrome (168208802861).

The spelling of 123105301540 in words is "one hundred twenty-three billion, one hundred five million, three hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 331 388 485 662 970 1261 1324 1655 1940 2522 3310 4303 5044 6305 6620 8606 12610 14747 17212 21515 25220 29494 32107 43030 58988 64214 73735 86060 128428 147470 160535 191711 294940 321070 383422 417391 642140 766844 834782 958555 1430459 1669564 1917110 2086955 2860918 3834220 4173910 4881257 5721836 7152295 8347820 9762514 14304590 18595967 19525028 24406285 28609180 37191934 48812570 63456341 74383868 92979835 97625140 126912682 185959670 253825364 317281705 371919340 473481929 634563410 946963858 1269126820 1893927716 2367409645 4734819290 6155265077 9469638580 12310530154 24621060308 30776325385 61552650770 123105301540