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103200422424 = 233112329586073
BaseRepresentation
bin110000000011100111…
…0010111101000011000
3100212101012210122110120
41200013032113220120
53142323302004144
6115224251113240
710312255055061
oct1400716275030
9325335718416
10103200422424
113a848a47910
1218001742820
139968898618
144dd0119568
152a401bce19
hex1807397a18

103200422424 has 128 divisors (see below), whose sum is σ = 303820761600. Its totient is φ = 28881628160.

The previous prime is 103200422371. The next prime is 103200422431. The reversal of 103200422424 is 424224002301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 103200422394 and 103200422403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116949 + ... + 469124.

It is an arithmetic number, because the mean of its divisors is an integer number (2373599700).

Almost surely, 2103200422424 is an apocalyptic number.

It is an amenable number.

103200422424 is an abundant number, since it is smaller than the sum of its proper divisors (200620339176).

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

103200422424 is a wasteful number, since it uses less digits than its factorization.

103200422424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586145 (or 586141 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 103200422424 its reverse (424224002301), we get a palindrome (527424424725).

The spelling of 103200422424 in words is "one hundred three billion, two hundred million, four hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 29 33 44 46 58 66 69 87 88 92 116 132 138 174 184 232 253 264 276 319 348 506 552 638 667 696 759 957 1012 1276 1334 1518 1914 2001 2024 2552 2668 3036 3828 4002 5336 6072 7337 7656 8004 14674 16008 22011 29348 44022 58696 88044 176088 586073 1172146 1758219 2344292 3516438 4688584 6446803 7032876 12893606 13479679 14065752 16996117 19340409 25787212 26959358 33992234 38680818 40439037 50988351 51574424 53918716 67984468 77361636 80878074 101976702 107837432 135968936 148276469 154723272 161756148 186957287 203953404 296552938 323512296 373914574 390910691 407906808 444829407 560871861 593105876 747829148 781821382 889658814 1121743722 1172732073 1186211752 1495658296 1563642764 1779317628 2243487444 2345464146 3127285528 3558635256 4300017601 4486974888 4690928292 8600035202 9381856584 12900052803 17200070404 25800105606 34400140808 51600211212 103200422424