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10103011212330 = 2325373299391957
BaseRepresentation
bin1001001100000100101001…
…1001001111110000101010
31022202211122020000000211200
42103001022121033300222
52311011431332243310
633253132000505030
72061630015244431
oct223011231176052
938684566000750
1010103011212330
113245732498553
12117204601b176
1358392c776aba
1426cdba074118
15127c086d89c0
hex9304a64fc2a

10103011212330 has 96 divisors (see below), whose sum is σ = 26978881544784. Its totient is φ = 2621213872128.

The previous prime is 10103011212323. The next prime is 10103011212337. The reversal of 10103011212330 is 3321211030101.

10103011212330 is a `hidden beast` number, since 1 + 0 + 10 + 301 + 1 + 21 + 2 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (10103011212323) and next prime (10103011212337).

It can be written as a sum of positive squares in 8 ways, for example, as 3970538449641 + 6132472762689 = 1992621^2 + 2476383^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10103011212337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109820712 + ... + 109912668.

Almost surely, 210103011212330 is an apocalyptic number.

10103011212330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10103011212330 is an abundant number, since it is smaller than the sum of its proper divisors (16875870332454).

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

10103011212330 is a wasteful number, since it uses less digits than its factorization.

10103011212330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125000 (or 124997 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10103011212330 its reverse (3321211030101), we get a palindrome (13424222242431).

The spelling of 10103011212330 in words is "ten trillion, one hundred three billion, eleven million, two hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 32993 65986 91957 98979 164965 183914 197958 275871 296937 329930 459785 494895 551742 593874 827613 919570 989790 1220741 1379355 1484685 1655226 2441482 2758710 2969370 3402409 3662223 4138065 6103705 6804818 7324446 8276130 10207227 10986669 12207410 17012045 18311115 20414454 21973338 30621681 34024090 36622230 51036135 54933345 61243362 102072270 109866690 153108405 306216810 3033937301 6067874602 9101811903 15169686505 18203623806 27305435709 30339373010 45509059515 54610871418 91018119030 112255680137 136527178545 224511360274 273054357090 336767040411 561278400685 673534080822 1010301121233 1122556801370 1683835202055 2020602242466 3367670404110 5051505606165 10103011212330