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12401022330 = 23251732712939
BaseRepresentation
bin10111000110010100…
…01001010101111010
31012000020201012120100
423203022021111322
5200344130203310
65410312540230
7616210644024
oct134312112572
935006635510
1012401022330
115294065694
1224a10b1676
131228273548
14858dab014
154c8a86ec0
hex2e328957a

12401022330 has 96 divisors (see below), whose sum is σ = 32559770880. Its totient is φ = 3274577280.

The previous prime is 12401022329. The next prime is 12401022371. The reversal of 12401022330 is 3322010421.

12401022330 is a `hidden beast` number, since 12 + 401 + 0 + 223 + 30 = 666.

12401022330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 4218001 + ... + 4220939.

It is an arithmetic number, because the mean of its divisors is an integer number (339164280).

Almost surely, 212401022330 is an apocalyptic number.

12401022330 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 12401022330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279885440).

12401022330 is an abundant number, since it is smaller than the sum of its proper divisors (20158748550).

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

12401022330 is a wasteful number, since it uses less digits than its factorization.

12401022330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12401022330 its reverse (3322010421), we get a palindrome (15723032751).

The spelling of 12401022330 in words is "twelve billion, four hundred one million, twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 271 346 519 542 813 865 1038 1355 1557 1626 1730 2439 2595 2710 2939 3114 4065 4878 5190 5878 7785 8130 8817 12195 14695 15570 17634 24390 26451 29390 44085 46883 52902 88170 93766 132255 140649 234415 264510 281298 421947 468830 508447 703245 796469 843894 1016894 1406490 1525341 1592938 2109735 2389407 2542235 3050682 3982345 4219470 4576023 4778814 5084470 7168221 7626705 7964690 9152046 11947035 14336442 15253410 22880115 23894070 35841105 45760230 71682210 137789137 275578274 413367411 688945685 826734822 1240102233 1377891370 2066837055 2480204466 4133674110 6200511165 12401022330