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22221021120201 = 32198910119374903
BaseRepresentation
bin1010000110101101111000…
…00100100000011011001001
32220200022100011112120221200
411003112330010200123021
510403032122401321301
6115132110212454413
74452262422034461
oct503267404403311
986608304476850
1022221021120201
117097978137832
1225aa6bb01a409
13c52582c65327
1456b70895cba1
15288046a07c86
hex1435bc1206c9

22221021120201 has 96 divisors (see below), whose sum is σ = 34683488236800. Its totient is φ = 13667877273600.

The previous prime is 22221021120083. The next prime is 22221021120209. The reversal of 22221021120201 is 10202112012222.

It is a happy number.

22221021120201 is a `hidden beast` number, since 2 + 22 + 210 + 211 + 20 + 201 = 666.

It is not a de Polignac number, because 22221021120201 - 217 = 22221020989129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22221021120209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296626516 + ... + 296701418.

It is an arithmetic number, because the mean of its divisors is an integer number (361286335800).

Almost surely, 222221021120201 is an apocalyptic number.

It is an amenable number.

22221021120201 is a deficient number, since it is larger than the sum of its proper divisors (12462467116599).

22221021120201 is a wasteful number, since it uses less digits than its factorization.

22221021120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75311 (or 75308 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22221021120201 its reverse (10202112012222), we get a palindrome (32423133132423).

The spelling of 22221021120201 in words is "twenty-two trillion, two hundred twenty-one billion, twenty-one million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 9 19 57 89 101 171 193 267 303 579 801 909 1691 1737 1919 3667 5073 5757 8989 11001 15219 17177 17271 19493 26967 33003 51531 58479 74903 80901 154593 170791 175437 224709 326363 370367 512373 674127 979089 1111101 1423157 1537119 1734877 2937267 3333303 4269471 5204631 6666367 7565203 12808413 14456279 15613893 19999101 22695609 32962663 43368837 59997303 68086827 98887989 126660973 130106511 143738857 274669301 296663967 379982919 431216571 673303067 824007903 1139948757 1286608831 1293649713 1460084179 2019909201 2472023709 3859826493 4380252537 6059727603 11579479479 12792758273 13140757611 24445567789 27741599401 38378274819 73336703367 83224798203 115134824457 129947491931 220010110101 249674394609 389842475793 1169527427379 2469002346689 7407007040067 22221021120201