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10432431342120 = 233586936927851
BaseRepresentation
bin1001011111001111110101…
…0111010100001000101000
31100221022221002002111120110
42113303331113110020220
52331411104410421440
634104332013254320
72124501242166204
oct227637527241050
940838832074513
1010432431342120
1133624075797a7
121205a601943a0
135a8a0a79c418
14280d0a5d7b04
15131588b2d080
hex97cfd5d4228

10432431342120 has 32 divisors (see below), whose sum is σ = 31297294026720. Its totient is φ = 2781981691200.

The previous prime is 10432431342107. The next prime is 10432431342121. The reversal of 10432431342120 is 2124313423401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10432431342121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43468463806 + ... + 43468464045.

It is an arithmetic number, because the mean of its divisors is an integer number (978040438335).

Almost surely, 210432431342120 is an apocalyptic number.

10432431342120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10432431342120 is an abundant number, since it is smaller than the sum of its proper divisors (20864862684600).

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

10432431342120 is a wasteful number, since it uses less digits than its factorization.

10432431342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86936927865 (or 86936927861 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10432431342120 its reverse (2124313423401), we get a palindrome (12556744765521).

The spelling of 10432431342120 in words is "ten trillion, four hundred thirty-two billion, four hundred thirty-one million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 86936927851 173873855702 260810783553 347747711404 434684639255 521621567106 695495422808 869369278510 1043243134212 1304053917765 1738738557020 2086486268424 2608107835530 3477477114040 5216215671060 10432431342120