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101430302232 = 23372110977773
BaseRepresentation
bin101111001110110110…
…1111001011000011000
3100200210212000020001110
41132131231321120120
53130212124132412
6114332455220320
710220352225600
oct1363555713030
9320725006043
10101430302232
113a01a841366
12177a89776a0
139745c3a91c
144ca2dbdc00
152989ab7d3c
hex179db79618

101430302232 has 96 divisors (see below), whose sum is σ = 295245658800. Its totient is φ = 28953582336.

The previous prime is 101430302227. The next prime is 101430302249. The reversal of 101430302232 is 232203034101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101430302199 and 101430302208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1265298 + ... + 1343070.

Almost surely, 2101430302232 is an apocalyptic number.

101430302232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101430302232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147622829400).

101430302232 is an abundant number, since it is smaller than the sum of its proper divisors (193815356568).

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

101430302232 is a wasteful number, since it uses less digits than its factorization.

101430302232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78905 (or 78894 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 101430302232 its reverse (232203034101), we get a palindrome (333633336333).

The spelling of 101430302232 in words is "one hundred one billion, four hundred thirty million, three hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1109 1176 2218 3327 4436 6654 7763 8872 13308 15526 23289 26616 31052 46578 54341 62104 77773 93156 108682 155546 163023 186312 217364 233319 311092 326046 434728 466638 544411 622184 652092 933276 1088822 1304184 1633233 1866552 2177644 3266466 3810877 4355288 6532932 7621754 11432631 13065864 15243508 22865262 30487016 45730524 86250257 91461048 172500514 258750771 345001028 517501542 603751799 690002056 1035003084 1207503598 1811255397 2070006168 2415007196 3622510794 4226262593 4830014392 7245021588 8452525186 12678787779 14490043176 16905050372 25357575558 33810100744 50715151116 101430302232