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401111311221 = 3217231016771667
BaseRepresentation
bin1011101011001000001…
…10001110001101110101
31102100100010200211101200
411311210012032031311
523032433443424341
6504133515243113
740656624614265
oct5654406161565
91370303624350
10401111311221
11145123972a25
12658a3449499
132ba9494c64a
14155b1a077a5
15a679265db6
hex5d6418e375

401111311221 has 96 divisors (see below), whose sum is σ = 647818000128. Its totient is φ = 237856819200.

The previous prime is 401111311207. The next prime is 401111311231. The reversal of 401111311221 is 122113111104.

401111311221 is a `hidden beast` number, since 401 + 1 + 11 + 31 + 1 + 221 = 666.

It is not a de Polignac number, because 401111311221 - 211 = 401111309173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 401111311194 and 401111311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401111311231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240617830 + ... + 240619496.

It is an arithmetic number, because the mean of its divisors is an integer number (6748104168).

Almost surely, 2401111311221 is an apocalyptic number.

It is an amenable number.

401111311221 is a deficient number, since it is larger than the sum of its proper divisors (246706688907).

401111311221 is a wasteful number, since it uses less digits than its factorization.

401111311221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 401111311221 its reverse (122113111104), we get a palindrome (523224422325).

The spelling of 401111311221 in words is "four hundred one billion, one hundred eleven million, three hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 17 23 51 69 101 153 207 303 391 677 909 1173 1667 1717 2031 2323 3519 5001 5151 6093 6969 11509 15003 15453 15571 20907 28339 34527 38341 39491 46713 68377 85017 103581 115023 118473 140139 168367 205131 255051 264707 345069 355419 505101 615393 651797 794121 1128559 1162409 1515303 1572671 1955391 2382363 2862239 3385677 3487227 3872441 4718013 5866173 8586717 10157031 10461681 11617323 14154039 19185503 25760151 25956857 26735407 34851969 57556509 65831497 77870571 80206221 113984459 172669527 197494491 233611713 240618663 341953377 441266569 592483473 1025860131 1323799707 1937735803 2621642557 3971399121 5813207409 7864927671 17439622227 23594783013 44567923469 133703770407 401111311221