Search a number
-
+
200202002120100 = 223528345823175463
BaseRepresentation
bin101101100001010100101001…
…001110000011110110100100
3222020212010100202020222112010
4231201110221032003312210
5202220102200020320400
61545443310255554220
760112055150103411
oct5541245116036644
9866763322228463
10200202002120100
1158877212a39a62
121a5545a552b970
138792c773183b6
143761b85993108
151822aa8194450
hexb61529383da4

200202002120100 has 144 divisors (see below), whose sum is σ = 586246189842432. Its totient is φ = 52742529651840.

The previous prime is 200202002120089. The next prime is 200202002120111. The reversal of 200202002120100 is 1021200202002.

It is an interprime number because it is at equal distance from previous prime (200202002120089) and next prime (200202002120111).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1140904969 + ... + 1141080431.

It is an arithmetic number, because the mean of its divisors is an integer number (4071154096128).

Almost surely, 2200202002120100 is an apocalyptic number.

200202002120100 is a gapful number since it is divisible by the number (20) 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 200202002120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293123094921216).

200202002120100 is an abundant number, since it is smaller than the sum of its proper divisors (386044187722332).

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

200202002120100 is a wasteful number, since it uses less digits than its factorization.

200202002120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221386 (or 221379 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200202002120100 its reverse (1021200202002), we get a palindrome (201223202322102).

The spelling of 200202002120100 in words is "two hundred trillion, two hundred two billion, two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 12450 24900 45823 91646 137469 175463 183292 229115 274938 350926 458230 526389 549876 687345 701852 877315 916460 1052778 1145575 1374690 1754630 2105556 2291150 2631945 2749380 3436725 3509260 3803309 4386575 4582300 5263890 6873450 7606618 8773150 10527780 11409927 13159725 13746900 14563429 15213236 17546300 19016545 22819854 26319450 29126858 38033090 43690287 45639708 52638900 57049635 58253716 72817145 76066180 87380574 95082725 114099270 145634290 174761148 190165450 218451435 228198540 285248175 291268580 364085725 380330900 436902870 570496350 728171450 873805740 1092257175 1140992700 1456342900 2184514350 4369028700 8040241049 16080482098 24120723147 32160964196 40201205245 48241446294 80402410490 96482892588 120603615735 160804820980 201006026225 241207231470 402012052450 482414462940 603018078675 667340007067 804024104900 1206036157350 1334680014134 2002020021201 2412072314700 2669360028268 3336700035335 4004040042402 6673400070670 8008080084804 10010100106005 13346800141340 16683500176675 20020200212010 33367000353350 40040400424020 50050500530025 66734000706700 100101001060050 200202002120100