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1010242431 = 321122294051
BaseRepresentation
bin111100001101110…
…001001101111111
32121101221122002100
4330031301031333
54032110224211
6244125000143
734014630132
oct7415611577
92541848070
101010242431
1147928a100
122423b3053
131313b51b3
1498256219
155da56156
hex3c37137f

1010242431 has 36 divisors (see below), whose sum is σ = 1611358840. Its totient is φ = 609444000.

The previous prime is 1010242423. The next prime is 1010242433. The reversal of 1010242431 is 1342420101.

It is not a de Polignac number, because 1010242431 - 23 = 1010242423 is a prime.

It is a super-2 number, since 2×10102424312 = 2041179538785579522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010242433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 247356 + ... + 251406.

Almost surely, 21010242431 is an apocalyptic number.

1010242431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1010242431 is a deficient number, since it is larger than the sum of its proper divisors (601116409).

1010242431 is a wasteful number, since it uses less digits than its factorization.

1010242431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1010242431 is about 31784.3110826710. The cubic root of 1010242431 is about 1003.4025531677.

Adding to 1010242431 its reverse (1342420101), we get a palindrome (2352662532).

The spelling of 1010242431 in words is "one billion, ten million, two hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 229 363 687 1089 2061 2519 4051 7557 12153 22671 27709 36459 44561 83127 133683 249381 401049 490171 927679 1470513 2783037 4411539 8349111 10204469 30613407 91840221 112249159 336747477 1010242431