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103104101430 = 232511227458791
BaseRepresentation
bin110000000000101111…
…0111011110000110110
3100212010111120000220100
41200001132323300312
53142124122221210
6115210530414530
710310005254621
oct1400136736066
9325114500810
10103104101430
113a7a9639490
1217b95431446
139951942555
144dc1404db8
152a369e35c0
hex18017bbc36

103104101430 has 96 divisors (see below), whose sum is σ = 293729649408. Its totient is φ = 24884769600.

The previous prime is 103104101413. The next prime is 103104101461. The reversal of 103104101430 is 34101401301.

103104101430 is a `hidden beast` number, since 103 + 10 + 410 + 143 + 0 = 666.

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

It is a congruent number.

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, 4666 + ... + 454125.

It is an arithmetic number, because the mean of its divisors is an integer number (3059683848).

Almost surely, 2103104101430 is an apocalyptic number.

103104101430 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 103104101430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146864824704).

103104101430 is an abundant number, since it is smaller than the sum of its proper divisors (190625547978).

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

103104101430 is a wasteful number, since it uses less digits than its factorization.

103104101430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459042 (or 459039 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103104101430 its reverse (34101401301), we get a palindrome (137205502731).

The spelling of 103104101430 in words is "one hundred three billion, one hundred four million, one hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 227 330 454 495 681 990 1135 1362 2043 2270 2497 3405 4086 4994 6810 7491 10215 12485 14982 20430 22473 24970 37455 44946 74910 112365 224730 458791 917582 1376373 2293955 2752746 4129119 4587910 5046701 6881865 8258238 10093402 13763730 15140103 20645595 25233505 30280206 41291190 45420309 50467010 75700515 90840618 104145557 151401030 208291114 227101545 312436671 454203090 520727785 624873342 937310013 1041455570 1145601127 1562183355 1874620026 2291202254 3124366710 3436803381 4686550065 5728005635 6873606762 9373100130 10310410143 11456011270 17184016905 20620820286 34368033810 51552050715 103104101430