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221001001221 = 371113377432677
BaseRepresentation
bin1100110111010010101…
…1111010100100000101
3210010102221101002021110
43031310223322210011
512110102224014341
6245305414235233
721652416341550
oct3156453724405
9703387332243
10221001001221
11857a9338260
12369b8955b19
1317ac01c4910
14a9a72d5697
155b3701d216
hex3374afa905

221001001221 has 128 divisors (see below), whose sum is σ = 407029948416. Its totient is φ = 102933089280.

The previous prime is 221001001187. The next prime is 221001001229. The reversal of 221001001221 is 122100100122.

It is not a de Polignac number, because 221001001221 - 213 = 221000993029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221001001197 and 221001001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001001229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82554135 + ... + 82556811.

It is an arithmetic number, because the mean of its divisors is an integer number (3179921472).

Almost surely, 2221001001221 is an apocalyptic number.

221001001221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221001001221 is a deficient number, since it is larger than the sum of its proper divisors (186028947195).

221001001221 is a wasteful number, since it uses less digits than its factorization.

221001001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221001001221 its reverse (122100100122), we get a palindrome (343101101343).

The spelling of 221001001221 in words is "two hundred twenty-one billion, one million, one thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 743 777 1001 1221 1443 2229 2677 2849 3003 3367 5201 5291 8031 8173 8547 9659 10101 15603 15873 18739 24519 27491 28977 29447 34801 37037 56217 57211 67613 82473 88341 99049 104403 106249 111111 171633 192437 202839 206129 243607 297147 302401 318747 357383 382811 577311 618387 693343 730821 743743 907203 1072149 1089539 1148433 1287637 1989011 2080029 2116807 2231229 2501681 2679677 3268617 3862911 3931213 5967033 6350421 7505043 7626773 8039031 9013459 11793639 13923077 14164007 21879121 22880319 25857143 27040377 27518491 41769231 42492021 65637363 73593407 77571429 82555473 99148049 153153847 181000001 220780221 284428573 297444147 459461541 515153849 543000003 809527477 853285719 956714291 1545461547 1991000011 2428582431 2870142873 5666692339 5973000033 6697000037 10523857201 17000077017 20091000111 31571571603 73667000407 221001001221