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103234130820 = 223254317237741
BaseRepresentation
bin110000000100100111…
…0111101001110000100
3100212110120020012200200
41200021032331032010
53142410414141240
6115231453410500
710313144430222
oct1401116751604
9325416205620
10103234130820
113a865a80497
1218010a99a30
13997286b512
144dd47b1b12
152a4312a930
hex18093bd384

103234130820 has 144 divisors (see below), whose sum is σ = 320653324992. Its totient is φ = 26869812480.

The previous prime is 103234130819. The next prime is 103234130821. The reversal of 103234130820 is 28031432301.

103234130820 is a `hidden beast` number, since 10 + 3 + 2 + 341 + 308 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103234130819) and next prime (103234130821).

It is not an unprimeable number, because it can be changed into a prime (103234130821) 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, 13332150 + ... + 13339890.

Almost surely, 2103234130820 is an apocalyptic number.

103234130820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103234130820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160326662496).

103234130820 is an abundant number, since it is smaller than the sum of its proper divisors (217419194172).

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

103234130820 is a wasteful number, since it uses less digits than its factorization.

103234130820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9522 (or 9517 counting only the distinct ones).

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

The spelling of 103234130820 in words is "one hundred three billion, two hundred thirty-four million, one hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1723 1935 2580 3446 3870 5169 6892 7740 7741 8615 10338 15482 15507 17230 20676 23223 25845 30964 31014 34460 38705 46446 51690 62028 69669 74089 77410 77535 92892 103380 116115 139338 148178 154820 155070 222267 232230 278676 296356 310140 332863 348345 370445 444534 464460 665726 666801 696690 740890 889068 998589 1111335 1331452 1333602 1393380 1481780 1664315 1997178 2222670 2667204 2995767 3328630 3334005 3994356 4445340 4992945 5991534 6657260 6668010 9985890 11983068 13336020 13337743 14978835 19971780 26675486 29957670 40013229 53350972 59915340 66688715 80026458 120039687 133377430 160052916 200066145 240079374 266754860 400132290 480158748 573522949 600198435 800264580 1147045898 1200396870 1720568847 2294091796 2400793740 2867614745 3441137694 5161706541 5735229490 6882275388 8602844235 10323413082 11470458980 17205688470 20646826164 25808532705 34411376940 51617065410 103234130820