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10241234402031 = 3319227599146819
BaseRepresentation
bin1001010100000111100100…
…1000110111101011101111
31100021001102020022121002000
42111001321020313223233
52320243022001331111
633440431431303343
72104622223051663
oct225017110675357
940231366277060
1010241234402031
113299312916826
1211949a081ab53
1359398a1a7c49
1427596d7048a3
1512b5e8432c56
hex95079237aef

10241234402031 has 64 divisors (see below), whose sum is σ = 16067980800000. Its totient is φ = 6428859536736.

The previous prime is 10241234402023. The next prime is 10241234402033. The reversal of 10241234402031 is 13020443214201.

10241234402031 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 12 + 3 + 440 + 203 + 1 = 666.

It is not a de Polignac number, because 10241234402031 - 23 = 10241234402023 is a prime.

It is a super-2 number, since 2×102412344020312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10241234401986 and 10241234402004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241234402033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69680740 + ... + 69827558.

It is an arithmetic number, because the mean of its divisors is an integer number (251062200000).

Almost surely, 210241234402031 is an apocalyptic number.

10241234402031 is a deficient number, since it is larger than the sum of its proper divisors (5826746397969).

10241234402031 is a wasteful number, since it uses less digits than its factorization.

10241234402031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147673 (or 147667 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10241234402031 its reverse (13020443214201), we get a palindrome (23261677616232).

The spelling of 10241234402031 in words is "ten trillion, two hundred forty-one billion, two hundred thirty-four million, four hundred two thousand, thirty-one".

Divisors: 1 3 9 19 27 57 171 227 513 599 681 1797 2043 4313 5391 6129 11381 12939 16173 34143 38817 102429 116451 135973 146819 307287 407919 440457 1223757 1321371 2583487 2789561 3671271 3964113 7750461 8368683 23251383 25106049 33327913 69754149 75318147 87944581 99983739 263833743 299951217 633230347 791501229 899853651 1670947039 1899691041 2374503687 5012841117 5699073123 15038523351 17097219369 19963419887 45115570053 59890259661 179670778983 379304977853 539012336949 1137914933559 3413744800677 10241234402031