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100413300030300 = 223252129186421637
BaseRepresentation
bin10110110101001101001011…
…000101000011101101011100
3111011112102021112020102221100
4112311031023011003231130
5101130132414301432200
6553321122212433100
730102423116344635
oct2665151305035534
9434472245212840
10100413300030300
1129aa4050109154
12b31892b018790
134404c1a0647aa
141ab205b52088c
15b91ea8b32d00
hex5b534b143b5c

100413300030300 has 108 divisors (see below), whose sum is σ = 314983709511016. Its totient is φ = 26756138505600.

The previous prime is 100413300030299. The next prime is 100413300030301. The reversal of 100413300030300 is 3030003314001.

100413300030300 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 330 + 0 + 0 + 30 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (100413300030299) and next prime (100413300030301).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413300030301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42048919 + ... + 44372718.

Almost surely, 2100413300030300 is an apocalyptic number.

100413300030300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100413300030300 is an abundant number, since it is smaller than the sum of its proper divisors (214570409480716).

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

100413300030300 is a wasteful number, since it uses less digits than its factorization.

100413300030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86422948 (or 86422938 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100413300030300 its reverse (3030003314001), we get a palindrome (103443303344301).

The spelling of 100413300030300 in words is "one hundred trillion, four hundred thirteen billion, three hundred million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1291 2582 3873 5164 6455 7746 11619 12910 15492 19365 23238 25820 32275 38730 46476 58095 64550 77460 96825 116190 129100 193650 232380 290475 387300 580950 1161900 86421637 172843274 259264911 345686548 432108185 518529822 777794733 864216370 1037059644 1296324555 1555589466 1728432740 2160540925 2592649110 3111178932 3888973665 4321081850 5185298220 6481622775 7777947330 8642163700 12963245550 15555894660 19444868325 25926491100 38889736650 77779473300 111570333367 223140666734 334711000101 446281333468 557851666835 669422000202 1004133000303 1115703333670 1338844000404 1673555000505 2008266000606 2231406667340 2789258334175 3347110001010 4016532001212 5020665001515 5578516668350 6694220002020 8367775002525 10041330003030 11157033336700 16735550005050 20082660006060 25103325007575 33471100010100 50206650015150 100413300030300