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1030413131124 = 2231337931675503
BaseRepresentation
bin11101111111010010110…
…10001001110101110100
310122111200021002120012220
432333221122021311310
5113340241230143444
62105210521242340
7134305412046546
oct16775132116564
93574607076186
101030413131124
11367aa5393503
1214784b3333b0
137622411c010
1437c2d6b3696
151bc0b799619
hexefe9689d74

1030413131124 has 96 divisors (see below), whose sum is σ = 2597366661120. Its totient is φ = 316056359808.

The previous prime is 1030413131113. The next prime is 1030413131161. The reversal of 1030413131124 is 4211313140301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1030413131094 and 1030413131103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187242957 + ... + 187248459.

It is an arithmetic number, because the mean of its divisors is an integer number (27055902720).

Almost surely, 21030413131124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030413131124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298683330560).

1030413131124 is an abundant number, since it is smaller than the sum of its proper divisors (1566953529996).

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

1030413131124 is a wasteful number, since it uses less digits than its factorization.

1030413131124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069 (or 9067 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1030413131124 its reverse (4211313140301), we get a palindrome (5241726271425).

The spelling of 1030413131124 in words is "one trillion, thirty billion, four hundred thirteen million, one hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 379 758 1137 1516 2274 3167 4548 4927 5503 6334 9501 9854 11006 12668 14781 16509 19002 19708 22012 29562 33018 38004 41171 59124 66036 71539 82342 123513 143078 164684 214617 247026 286156 429234 494052 858468 1200293 2085637 2400586 3600879 4171274 4801172 6256911 7201758 8342548 12513822 14403516 15603809 17428001 25027644 27113281 31207618 34856002 46811427 52284003 54226562 62415236 69712004 81339843 93622854 104568006 108453124 162679686 187245708 209136012 226564013 325359372 453128026 679692039 906256052 1359384078 2718768156 6605212379 13210424758 19815637137 26420849516 39631274274 79262548548 85867760927 171735521854 257603282781 343471043708 515206565562 1030413131124