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10452242031 = 3711299771597
BaseRepresentation
bin10011011110000000…
…01000111001101111
3222222102201220120020
421233000020321233
5132401233221111
64445055453223
7520005406560
oct115700107157
928872656506
1010452242031
114484022160
122038527213
13ca75c07ca
14712246167
15412940906
hex26f008e6f

10452242031 has 64 divisors (see below), whose sum is σ = 18003962880. Its totient is φ = 5233858560.

The previous prime is 10452242027. The next prime is 10452242051. The reversal of 10452242031 is 13024225401.

10452242031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10452242031 - 22 = 10452242027 is a prime.

It is a super-2 number, since 2×104522420312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10452241992 and 10452242010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10452242011) 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 63 ways as a sum of consecutive naturals, for example, 6544125 + ... + 6545721.

It is an arithmetic number, because the mean of its divisors is an integer number (281311920).

Almost surely, 210452242031 is an apocalyptic number.

10452242031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10452242031 is a deficient number, since it is larger than the sum of its proper divisors (7551720849).

10452242031 is a wasteful number, since it uses less digits than its factorization.

10452242031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10452242031 its reverse (13024225401), we get a palindrome (23476467432).

The spelling of 10452242031 in words is "ten billion, four hundred fifty-two million, two hundred forty-two thousand, thirty-one".

Divisors: 1 3 7 11 21 29 33 77 87 203 231 319 609 957 977 1597 2233 2931 4791 6699 6839 10747 11179 17567 20517 28333 32241 33537 46313 52701 75229 84999 122969 138939 198331 225687 311663 324191 368907 509443 594993 934989 972573 1528329 1560269 2181641 3566101 4680807 6544923 10698303 10921883 17162959 32765649 45247801 51488877 120140713 135743403 316734607 360422139 497725811 950203821 1493177433 3484080677 10452242031