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34130112300 = 223252191995913
BaseRepresentation
bin11111110010010100…
…000010111100101100
310021002120211100100100
4133302110002330230
51024344302043200
623402410431100
72315530111404
oct376224027454
9107076740310
1034130112300
1113524616589
126746132490
1332abc4142b
14191ab8b804
15d4b500d00
hex7f2502f2c

34130112300 has 108 divisors (see below), whose sum is σ = 112609467880. Its totient is φ = 8622339840.

The previous prime is 34130112251. The next prime is 34130112311. The reversal of 34130112300 is 321103143.

34130112300 is a `hidden beast` number, since 341 + 301 + 1 + 23 + 0 + 0 = 666.

It is a super-2 number, since 2×341301123002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 980857 + ... + 1015056.

Almost surely, 234130112300 is an apocalyptic number.

34130112300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34130112300 is an abundant number, since it is smaller than the sum of its proper divisors (78479355580).

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

34130112300 is a wasteful number, since it uses less digits than its factorization.

34130112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995952 (or 1995942 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 34130112300 its reverse (321103143), we get a palindrome (34451215443).

The spelling of 34130112300 in words is "thirty-four billion, one hundred thirty million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 1995913 3991826 5987739 7983652 9979565 11975478 17963217 19959130 23950956 29938695 35926434 37922347 39918260 49897825 59877390 71852868 75844694 89816085 99795650 113767041 119754780 149693475 151689388 179632170 189611735 199591300 227534082 299386950 341301123 359264340 379223470 449080425 455068164 568835205 598773900 682602246 758446940 898160850 948058675 1137670410 1365204492 1706505615 1796321700 1896117350 2275340820 2844176025 3413011230 3792234700 5688352050 6826022460 8532528075 11376704100 17065056150 34130112300