Search a number
-
+
103034314410210 = 232517310632167939
BaseRepresentation
bin10111011011010110001011…
…101101011100100011100010
3111111210222120112012110021200
4113123112023231130203202
5102001103233442111320
61003045151031102030
730462661235106531
oct2733261355344342
9444728515173250
10103034314410210
112a914675427157
12b6808a7511916
13456512bb34491
141b62c5d14c318
15bda25b7bb290
hex5db58bb5c8e2

103034314410210 has 96 divisors (see below), whose sum is σ = 283656668929920. Its totient is φ = 25858748219904.

The previous prime is 103034314410163. The next prime is 103034314410229. The reversal of 103034314410210 is 12014413430301.

103034314410210 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 3 + 4 + 3 + 1 + 441 + 0 + 210 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46442421 + ... + 48610359.

It is an arithmetic number, because the mean of its divisors is an integer number (2954756968020).

Almost surely, 2103034314410210 is an apocalyptic number.

103034314410210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103034314410210 is an abundant number, since it is smaller than the sum of its proper divisors (180622354519710).

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

103034314410210 is a wasteful number, since it uses less digits than its factorization.

103034314410210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199032 (or 2199029 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103034314410210 its reverse (12014413430301), we get a palindrome (115048727840511).

The spelling of 103034314410210 in words is "one hundred three trillion, thirty-four billion, three hundred fourteen million, four hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 31063 62126 93189 155315 186378 279567 310630 465945 528071 559134 931890 1056142 1397835 1584213 2167939 2640355 2795670 3168426 4335878 4752639 5280710 6503817 7921065 9505278 10839695 13007634 15842130 19511451 21679390 23763195 32519085 36854963 39022902 47526390 65038170 73709926 97557255 110564889 184274815 195114510 221129778 331694667 368549630 552824445 663389334 1105648890 1658473335 3316946670 67342689157 134685378314 202028067471 336713445785 404056134942 606084202413 673426891570 1010140337355 1144825715669 1212168404826 2020280674710 2289651431338 3030421012065 3434477147007 5724128578345 6060842024130 6868954294014 10303431441021 11448257156690 17172385735035 20606862882042 34344771470070 51517157205105 103034314410210