Search a number
-
+
210201102122000 = 24531142412252911
BaseRepresentation
bin101111110010110101000010…
…000001011111110000010000
31000120021000210012222121001112
4233302311002001133300100
5210022413324120401000
62023021015254552452
762163346156550603
oct5762650201376020
91016230705877045
10210201102122000
1160a818722420a0
121b6aa46b968728
139039b56b7b062
1439c9b0536633a
151947c2e0ab235
hexbf2d4205fc10

210201102122000 has 160 divisors (see below), whose sum is σ = 554603276118528. Its totient is φ = 76418707200000.

The previous prime is 210201102121993. The next prime is 210201102122093. The reversal of 210201102122000 is 221201102012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92175545 + ... + 94428455.

Almost surely, 2210201102122000 is an apocalyptic number.

210201102122000 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 210201102122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277301638059264).

210201102122000 is an abundant number, since it is smaller than the sum of its proper divisors (344402173996528).

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

210201102122000 is a wasteful number, since it uses less digits than its factorization.

210201102122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257186 (or 2257170 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210201102122000 its reverse (221201102012), we get a palindrome (210422303224012).

The spelling of 210201102122000 in words is "two hundred ten trillion, two hundred one billion, one hundred two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4241 4400 5500 8482 11000 16964 21205 22000 33928 42410 46651 67856 84820 93302 106025 169640 186604 212050 233255 339280 373208 424100 466510 530125 746416 848200 933020 1060250 1166275 1696400 1866040 2120500 2252911 2332550 3732080 4241000 4505822 4665100 5831375 8482000 9011644 9330200 11264555 11662750 18023288 18660400 22529110 23325500 24782021 36046576 45058220 46651000 49564042 56322775 90116440 93302000 99128084 112645550 123910105 180232880 198256168 225291100 247820210 281613875 396512336 450582200 495640420 563227750 619550525 901164400 991280840 1126455500 1239101050 1982561680 2252911000 2478202100 3097752625 4505822000 4956404200 6195505250 9554595551 9912808400 12391010500 19109191102 24782021000 38218382204 47772977755 49564042000 76436764408 95545955510 105100551061 152873528816 191091911020 210201102122 238864888775 382183822040 420402204244 477729777550 525502755305 764367644080 840804408488 955459555100 1051005510610 1194324443875 1681608816976 1910919110200 2102011021220 2388648887750 2627513776525 3821838220400 4204022042440 4777297775500 5255027553050 8408044084880 9554595551000 10510055106100 13137568882625 19109191102000 21020110212200 26275137765250 42040220424400 52550275530500 105100551061000 210201102122000