Search a number
-
+
551342100300 = 2235241223201007
BaseRepresentation
bin10000000010111101000…
…11001100111101001100
31221201002222102122100220
420001132203030331030
533013122034202200
61101141050351340
754555525346065
oct10013643147514
91851088378326
10551342100300
111a2906273352
128aa2b42b550
133ccb6c76294
141c983cb356c
15e51d2324a0
hex805e8ccf4c

551342100300 has 144 divisors (see below), whose sum is σ = 1641460273152. Its totient is φ = 142794662400.

The previous prime is 551342100247. The next prime is 551342100359. The reversal of 551342100300 is 3001243155.

It is a super-2 number, since 2×5513421003002 (a number of 24 digits) contains 22 as substring.

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, 2642397 + ... + 2843403.

Almost surely, 2551342100300 is an apocalyptic number.

551342100300 is a gapful number since it is divisible by the number (50) 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 551342100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820730136576).

551342100300 is an abundant number, since it is smaller than the sum of its proper divisors (1090118172852).

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

551342100300 is a wasteful number, since it uses less digits than its factorization.

551342100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201288 (or 201281 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 551342100300 its reverse (3001243155), we get a palindrome (554343343455).

The spelling of 551342100300 in words is "five hundred fifty-one billion, three hundred forty-two million, one hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 223 246 300 410 446 492 615 669 820 892 1025 1115 1230 1338 2050 2230 2460 2676 3075 3345 4100 4460 5575 6150 6690 9143 11150 12300 13380 16725 18286 22300 27429 33450 36572 45715 54858 66900 91430 109716 137145 182860 201007 228575 274290 402014 457150 548580 603021 685725 804028 914300 1005035 1206042 1371450 2010070 2412084 2742900 3015105 4020140 5025175 6030210 8241287 10050350 12060420 15075525 16482574 20100700 24723861 30151050 32965148 41206435 44824561 49447722 60302100 82412870 89649122 98895444 123619305 134473683 164825740 179298244 206032175 224122805 247238610 268947366 412064350 448245610 494477220 537894732 618096525 672368415 824128700 896491220 1120614025 1236193050 1344736830 1837807001 2241228050 2472386100 2689473660 3361842075 3675614002 4482456100 5513421003 6723684150 7351228004 9189035005 11026842006 13447368300 18378070010 22053684012 27567105015 36756140020 45945175025 55134210030 91890350050 110268420060 137835525075 183780700100 275671050150 551342100300