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10412410134 = 2372197332543
BaseRepresentation
bin10011011001010000…
…01100010100010110
3222212122210020110210
421230220030110112
5132311034111014
64441114030250
7516013011600
oct115450142426
928778706423
1010412410134
114463596935
122027118386
13c9c285639
1470ac38170
1540e1c3859
hex26ca0c516

10412410134 has 96 divisors (see below), whose sum is σ = 25544609280. Its totient is φ = 2813444928.

The previous prime is 10412410133. The next prime is 10412410147. The reversal of 10412410134 is 43101421401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10412410134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412410133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4093267 + ... + 4095809.

It is an arithmetic number, because the mean of its divisors is an integer number (266089680).

Almost surely, 210412410134 is an apocalyptic number.

10412410134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412410134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12772304640).

10412410134 is an abundant number, since it is smaller than the sum of its proper divisors (15132199146).

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

10412410134 is a wasteful number, since it uses less digits than its factorization.

10412410134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10412410134 its reverse (43101421401), we get a palindrome (53513831535).

The spelling of 10412410134 in words is "ten billion, four hundred twelve million, four hundred ten thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 733 798 931 1466 1862 2199 2543 2793 4398 5086 5131 5586 7629 10262 13927 15258 15393 17801 27854 30786 35602 35917 41781 48317 53403 71834 83562 96634 97489 106806 107751 124607 144951 194978 215502 249214 289902 292467 338219 373821 584934 676438 682423 747642 1014657 1364846 1864019 2029314 2047269 2367533 3728038 4094538 4735066 5592057 7102599 11184114 13048133 14205198 26096266 35416361 39144399 70832722 78288798 91336931 106249083 182673862 212498166 247914527 274010793 495829054 548021586 743743581 1487487162 1735401689 3470803378 5206205067 10412410134