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10130221332009 = 347310116962493
BaseRepresentation
bin1001001101101010000000…
…1111100111011000101001
31022212102212112122022220000
42103122200033213120221
52311433143130111014
633313432012053213
72063612220403422
oct223324017473051
938772775568800
1010130221332009
113256225936169
12117737a764209
13586377b45b2c
1427043bb70649
1512879c426509
hex936a03e7629

10130221332009 has 40 divisors (see below), whose sum is σ = 15491981470152. Its totient is φ = 6595016889600.

The previous prime is 10130221331987. The next prime is 10130221332013. The reversal of 10130221332009 is 90023312203101.

10130221332009 is a `hidden beast` number, since 1 + 0 + 1 + 302 + 21 + 332 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2762253972009 + 7367967360000 = 1662003^2 + 2714400^2 .

It is not a de Polignac number, because 10130221332009 - 220 = 10130220283433 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10130221332709) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7884034 + ... + 9078459.

Almost surely, 210130221332009 is an apocalyptic number.

It is an amenable number.

10130221332009 is a deficient number, since it is larger than the sum of its proper divisors (5361760138143).

10130221332009 is a wasteful number, since it uses less digits than its factorization.

10130221332009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16962679 (or 16962670 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 10130221332009 in words is "ten trillion, one hundred thirty billion, two hundred twenty-one million, three hundred thirty-two thousand, nine".

Divisors: 1 3 9 27 73 81 101 219 303 657 909 1971 2727 5913 7373 8181 22119 66357 199071 597213 16962493 50887479 152662437 457987311 1238261989 1373961933 1713211793 3714785967 5139635379 11144357901 15418906137 33433073703 46256718411 100299221109 125064460889 138770155233 375193382667 1125580148001 3376740444003 10130221332009