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10202011222221 = 3271323733776847
BaseRepresentation
bin1001010001110101011101…
…0000010100000011001101
31100010022011200222121112200
42110131113100110003031
52314122204333102341
633410423402352113
72102033230403040
oct224352720240315
940108150877480
1010202011222221
113283715407245
121189274abb639
13590079050a00
14273acc38ac57
1512a59ec44db6
hex947574140cd

10202011222221 has 144 divisors (see below), whose sum is σ = 18785263670784. Its totient is φ = 5220236077056.

The previous prime is 10202011222163. The next prime is 10202011222223. The reversal of 10202011222221 is 12222211020201.

It is a happy number.

10202011222221 is a `hidden beast` number, since 1 + 0 + 20 + 201 + 1 + 222 + 221 = 666.

It is not a de Polignac number, because 10202011222221 - 217 = 10202011091149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202011222194 and 10202011222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202011222223) 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 143 ways as a sum of consecutive naturals, for example, 132719020 + ... + 132795866.

It is an arithmetic number, because the mean of its divisors is an integer number (130453219936).

Almost surely, 210202011222221 is an apocalyptic number.

It is an amenable number.

10202011222221 is a deficient number, since it is larger than the sum of its proper divisors (8583252448563).

10202011222221 is a wasteful number, since it uses less digits than its factorization.

10202011222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77260 (or 77244 counting only the distinct ones).

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

Adding to 10202011222221 its reverse (12222211020201), we get a palindrome (22424222242422).

It can be divided in two parts, 1020201 and 1222221, that added together give a palindrome (2242422).

The spelling of 10202011222221 in words is "ten trillion, two hundred two billion, eleven million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 169 259 273 333 337 481 507 777 819 1011 1183 1443 1521 2331 2359 3033 3367 3549 4329 4381 6253 7077 10101 10647 12469 13143 18759 21231 30303 30667 37407 39429 43771 56277 56953 76847 87283 92001 112221 131313 162097 170859 230541 261849 276003 393939 398671 486291 512577 537929 691623 785547 999011 1134679 1196013 1458873 1613787 2107261 2843339 2997033 3404037 3588039 4841361 6321783 6993077 8530017 8991099 10212111 12987143 14750827 18965349 19903373 20979231 25590051 25897439 36963407 38961429 44252481 59710119 62937693 77692317 90910001 110890221 116884287 132757443 179130357 181282073 233076951 258743849 272730003 332670663 336666707 480524291 543846219 776231547 818190009 958205243 1010000121 1441572873 1631538657 2328694641 2356666949 2874615729 3030000363 3363670037 4324718619 4376667191 6707436701 7070000847 8623847187 10091010111 12456668159 13130001573 20122310103 21210002541 30273030333 30636670337 37370004477 39390004719 60366930309 87196677113 91910011011 112110013431 161936686067 261590031339 275730033033 485810058201 784770094017 1133556802469 1457430174603 3400670407407 10202011222221