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10434323130132 = 22311505115649951
BaseRepresentation
bin1001011111010110111000…
…0111111010011100010100
31100221111210220211021212010
42113311232013322130110
52331423443210131012
634105243433024220
72124566153134146
oct227655607723424
940844726737763
1010434323130132
113363198426070
1212062a9855070
135a8c4c6b9205
14281049964c96
15131649c67c3c
hex97d6e1fa714

10434323130132 has 48 divisors (see below), whose sum is σ = 26565355321344. Its totient is φ = 3161289900000.

The previous prime is 10434323130113. The next prime is 10434323130137. The reversal of 10434323130132 is 23103132343401.

It is a super-3 number, since 3×104343231301323 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10434323130132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434323130137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7158244 + ... + 8491707.

It is an arithmetic number, because the mean of its divisors is an integer number (553444902528).

Almost surely, 210434323130132 is an apocalyptic number.

10434323130132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10434323130132 is an abundant number, since it is smaller than the sum of its proper divisors (16131032191212).

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

10434323130132 is a wasteful number, since it uses less digits than its factorization.

10434323130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15655020 (or 15655018 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 10434323130132 its reverse (23103132343401), we get a palindrome (33537455473533).

The spelling of 10434323130132 in words is "ten trillion, four hundred thirty-four billion, three hundred twenty-three million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 5051 10102 15153 20204 30306 55561 60612 111122 166683 222244 333366 666732 15649951 31299902 46949853 62599804 93899706 172149461 187799412 344298922 516448383 688597844 1032896766 2065793532 79047902501 158095805002 237143707503 316191610004 474287415006 869526927511 948574830012 1739053855022 2608580782533 3478107710044 5217161565066 10434323130132