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10103031344430 = 234583687121871
BaseRepresentation
bin1001001100000100101110…
…0110000010110100101110
31022202211200121212211220000
42103001023212002310232
52311012002011010210
633253134000205130
72061630351333543
oct223011346026456
938684617784800
1010103031344430
113245742899052
1211720509097a6
135839339a539b
1426cdbc9d4bca
15127c0a363ac0
hex9304b982d2e

10103031344430 has 160 divisors (see below), whose sum is σ = 27498487661568. Its totient is φ = 2661173092800.

The previous prime is 10103031344387. The next prime is 10103031344453. The reversal of 10103031344430 is 3444313030101.

10103031344430 is a `hidden beast` number, since 1 + 0 + 10 + 303 + 1 + 344 + 4 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10103031344394 and 10103031344403.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 461926395 + ... + 461948265.

Almost surely, 210103031344430 is an apocalyptic number.

10103031344430 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 10103031344430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749243830784).

10103031344430 is an abundant number, since it is smaller than the sum of its proper divisors (17395456317138).

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

10103031344430 is a wasteful number, since it uses less digits than its factorization.

10103031344430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28844 (or 28835 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10103031344430 its reverse (3444313030101), we get a palindrome (13547344374531).

The spelling of 10103031344430 in words is "ten trillion, one hundred three billion, thirty-one million, three hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 83 90 135 162 166 249 270 405 415 498 747 810 830 1245 1494 2241 2490 3735 4482 6723 6871 7470 11205 13446 13742 20613 21871 22410 33615 34355 41226 43742 61839 65613 67230 68710 103065 109355 123678 131226 185517 196839 206130 218710 309195 328065 371034 393678 556551 570293 590517 618390 656130 927585 984195 1113102 1140586 1181034 1710879 1771551 1815293 1855170 1968390 2782755 2851465 2952585 3421758 3543102 3630586 5132637 5445879 5565510 5702930 5905170 8554395 8857755 9076465 10265274 10891758 15397911 16337637 17108790 17715510 18152930 25663185 27229395 30795822 32675274 46193733 49012911 51326370 54458790 76989555 81688185 92387466 98025822 147038733 150275641 153979110 163376370 230968665 245064555 294077466 300551282 450826923 461937330 490129110 735193665 751378205 901653846 1352480769 1470387330 1502756410 2254134615 2704961538 4057442307 4508269230 6762403845 8114884614 12172326921 12472878203 13524807690 20287211535 24344653842 24945756406 37418634609 40574423070 60861634605 62364391015 74837269218 112255903827 121723269210 124728782030 187093173045 224511807654 336767711481 374186346090 561279519135 673535422962 1010303134443 1122559038270 1683838557405 2020606268886 3367677114810 5051515672215 10103031344430