Search a number
-
+
103407410533 = 7323291273559
BaseRepresentation
bin110000001001110001…
…1111101110101100101
3100212220122021201202211
41200103203331311211
53143234244114113
6115301003403421
710320350326000
oct1402343756545
9325818251684
10103407410533
113a944873069
121805ab23571
13999c72b5ab
14500d7da537
152a53457b3d
hex18138fdd65

103407410533 has 64 divisors (see below), whose sum is σ = 131235840000. Its totient is φ = 81190372032.

The previous prime is 103407410527. The next prime is 103407410573. The reversal of 103407410533 is 335014704301.

It is not a de Polignac number, because 103407410533 - 225 = 103373856101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103407410495 and 103407410504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103407410573) 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, 29053408 + ... + 29056966.

It is an arithmetic number, because the mean of its divisors is an integer number (2050560000).

Almost surely, 2103407410533 is an apocalyptic number.

It is an amenable number.

103407410533 is a deficient number, since it is larger than the sum of its proper divisors (27828429467).

103407410533 is a wasteful number, since it uses less digits than its factorization.

103407410533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The spelling of 103407410533 in words is "one hundred three billion, four hundred seven million, four hundred ten thousand, five hundred thirty-three".

Divisors: 1 7 23 29 49 127 161 203 343 667 889 1127 1421 2921 3559 3683 4669 6223 7889 9947 20447 24913 25781 32683 43561 81857 84709 103211 143129 174391 180467 228781 451993 572999 592963 722477 1001903 1220737 1263269 2373853 3163951 4010993 4150741 5057339 10395839 13107797 16616971 22147657 28076951 29055187 35401373 72770873 91754579 116318797 155033599 301479331 509396111 642282053 814231579 2110355317 3565772777 4495974371 14772487219 103407410533