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201121222230 = 2325101101921713
BaseRepresentation
bin1011101101001111000…
…0100100111001010110
3201020010111001200020200
42323103300210321112
511243344013102410
6232221021441330
720346654116325
oct2732360447126
9636114050220
10201121222230
1178327761045
1232b8b110246
1315c726c0696
149a3cd860bc
155371aed3c0
hex2ed3c24e56

201121222230 has 96 divisors (see below), whose sum is σ = 528635147040. Its totient is φ = 53046758400.

The previous prime is 201121222171. The next prime is 201121222243. The reversal of 201121222230 is 32222121102.

201121222230 is a `hidden beast` number, since 201 + 1 + 212 + 22 + 230 = 666.

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

It is a congruent number.

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, 9251854 + ... + 9273566.

It is an arithmetic number, because the mean of its divisors is an integer number (5506616115).

Almost surely, 2201121222230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201121222230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264317573520).

201121222230 is an abundant number, since it is smaller than the sum of its proper divisors (327513924810).

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

201121222230 is a wasteful number, since it uses less digits than its factorization.

201121222230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22846 (or 22843 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201121222230 its reverse (32222121102), we get a palindrome (233343343332).

The spelling of 201121222230 in words is "two hundred one billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1019 1515 1818 2038 3030 3057 4545 5095 6114 9090 9171 10190 15285 18342 21713 30570 43426 45855 65139 91710 102919 108565 130278 195417 205838 217130 308757 325695 390834 514595 617514 651390 926271 977085 1029190 1543785 1852542 1954170 2193013 3087570 4386026 4631355 6579039 9262710 10965065 13158078 19737117 21930130 22125547 32895195 39474234 44251094 65790390 66376641 98685585 110627735 132753282 197371170 199129923 221255470 331883205 398259846 663766410 995649615 1991299230 2234680247 4469360494 6704040741 11173401235 13408081482 20112122223 22346802470 33520203705 40224244446 67040407410 100560611115 201121222230