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202133212110200 = 23527157919623349
BaseRepresentation
bin101101111101011011001110…
…010011100001110101111000
3222111200202011002120020222202
4231331123032103201311320
5202443222304300011300
61553522414332205332
760401433300135650
oct5575331623416570
9874622132506882
10202133212110200
11594512396a8198
121a80692b909848
1388a31070167a7
1437cb42a3db360
151857e36dc1ad5
hexb7d6ce4e1d78

202133212110200 has 96 divisors (see below), whose sum is σ = 540517820196000. Its totient is φ = 68861396298240.

The previous prime is 202133212110199. The next prime is 202133212110211. The reversal of 202133212110200 is 2011212331202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459591875 + ... + 460031474.

It is an arithmetic number, because the mean of its divisors is an integer number (5630393960375).

Almost surely, 2202133212110200 is an apocalyptic number.

202133212110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202133212110200 is an abundant number, since it is smaller than the sum of its proper divisors (338384608085800).

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

202133212110200 is a wasteful number, since it uses less digits than its factorization.

202133212110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919623529 (or 919623520 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 202133212110200 its reverse (2011212331202), we get a palindrome (204144424441402).

The spelling of 202133212110200 in words is "two hundred two trillion, one hundred thirty-three billion, two hundred twelve million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 157 175 200 280 314 350 628 700 785 1099 1256 1400 1570 2198 3140 3925 4396 5495 6280 7850 8792 10990 15700 21980 27475 31400 43960 54950 109900 219800 919623349 1839246698 3678493396 4598116745 6437363443 7356986792 9196233490 12874726886 18392466980 22990583725 25749453772 32186817215 36784933960 45981167450 51498907544 64373634430 91962334900 128747268860 144380865793 160934086075 183924669800 257494537720 288761731586 321868172150 577523463172 643736344300 721904328965 1010666060551 1155046926344 1287472688600 1443808657930 2021332121102 2887617315860 3609521644825 4042664242204 5053330302755 5775234631720 7219043289650 8085328484408 10106660605510 14438086579300 20213321211020 25266651513775 28876173158600 40426642422040 50533303027550 101066606055100 202133212110200