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1012420431 = 331121718229
BaseRepresentation
bin111100010110000…
…100111101001111
32121120001021202000
4330112010331033
54033134423211
6244243403343
734042301031
oct7426047517
92546037660
101012420431
1147a537500
12243083553
13131998659
1498661c51
155dd36656
hex3c584f4f

1012420431 has 48 divisors (see below), whose sum is σ = 1745704800. Its totient is φ = 577463040.

The previous prime is 1012420391. The next prime is 1012420439. The reversal of 1012420431 is 1340242101.

It is not a de Polignac number, because 1012420431 - 214 = 1012404047 is a prime.

It is a super-2 number, since 2×10124204312 = 2049990258212451522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012420439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46425 + ... + 64653.

It is an arithmetic number, because the mean of its divisors is an integer number (36368850).

Almost surely, 21012420431 is an apocalyptic number.

1012420431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012420431 is a deficient number, since it is larger than the sum of its proper divisors (733284369).

1012420431 is a wasteful number, since it uses less digits than its factorization.

1012420431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18277 (or 18260 counting only the distinct ones).

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

The square root of 1012420431 is about 31818.5548226188. The cubic root of 1012420431 is about 1004.1231201821.

Adding to 1012420431 its reverse (1340242101), we get a palindrome (2352662532).

The spelling of 1012420431 in words is "one billion, twelve million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 9 11 17 27 33 51 99 121 153 187 297 363 459 561 1089 1683 2057 3267 5049 6171 18229 18513 54687 55539 164061 200519 309893 492183 601557 929679 1804671 2205709 2789037 3408823 5414013 6617127 8367111 10226469 19851381 30679407 37497053 59554143 92038221 112491159 337473477 1012420431