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10000420332 = 2237235579293
BaseRepresentation
bin10010101000001001…
…00100110111101100
3221210221112222201020
421110010210313230
5130440101422312
64332155414140
7502551112260
oct112404446754
927727488636
1010000420332
114271a818a1
121b31154350
13c34b068a6
146ac2320a0
153d7e4278c
hex254124dec

10000420332 has 96 divisors (see below), whose sum is σ = 27880215552. Its totient is φ = 2727833856.

The previous prime is 10000420319. The next prime is 10000420333. The reversal of 10000420332 is 23302400001.

It is not an unprimeable number, because it can be changed into a prime (10000420333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071478 + ... + 1080770.

It is an arithmetic number, because the mean of its divisors is an integer number (290418912).

Almost surely, 210000420332 is an apocalyptic number.

10000420332 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 10000420332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13940107776).

10000420332 is an abundant number, since it is smaller than the sum of its proper divisors (17879795220).

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

10000420332 is a wasteful number, since it uses less digits than its factorization.

10000420332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9887 (or 9885 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10000420332 its reverse (23302400001), we get a palindrome (33302820333).

The spelling of 10000420332 in words is "ten billion, four hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 557 644 966 1114 1671 1932 2228 3342 3899 6684 7798 9293 11697 12811 15596 18586 23394 25622 27879 37172 38433 46788 51244 55758 65051 76866 89677 111516 130102 153732 179354 195153 213739 260204 269031 358708 390306 427478 538062 641217 780612 854956 1076124 1282434 1496173 2564868 2992346 4488519 5176201 5984692 8977038 10352402 15528603 17954076 20704804 31057206 36233407 62114412 72466814 108700221 119052623 144933628 217400442 238105246 357157869 434800884 476210492 714315738 833368361 1428631476 1666736722 2500105083 3333473444 5000210166 10000420332