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11444693301 = 32171941131733
BaseRepresentation
bin10101010100010100…
…00010100100110101
31002112121012122202200
422222022002210311
5141414320141201
65131351255113
7553416200526
oct125212024465
932477178680
1011444693301
11494325a518
12227497a499
1311050b6a92
147a7d8a84d
1546eb30386
hex2aa282935

11444693301 has 96 divisors (see below), whose sum is σ = 19044305280. Its totient is φ = 6577459200.

The previous prime is 11444693291. The next prime is 11444693317. The reversal of 11444693301 is 10339644411.

It is not a de Polignac number, because 11444693301 - 27 = 11444693173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444693101) 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, 15613131 + ... + 15613863.

It is an arithmetic number, because the mean of its divisors is an integer number (198378180).

Almost surely, 211444693301 is an apocalyptic number.

It is an amenable number.

11444693301 is a deficient number, since it is larger than the sum of its proper divisors (7599611979).

11444693301 is a wasteful number, since it uses less digits than its factorization.

11444693301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11444693301 in words is "eleven billion, four hundred forty-four million, six hundred ninety-three thousand, three hundred one".

Divisors: 1 3 9 17 19 41 51 57 123 131 153 171 323 369 393 697 733 779 969 1179 2091 2199 2227 2337 2489 2907 5371 6273 6597 6681 7011 7467 12461 13243 13927 16113 20043 22401 30053 37383 39729 41781 42313 48339 90159 91307 96023 102049 112149 119187 125343 126939 236759 270477 273921 288069 306147 380817 510901 571007 710277 821763 864207 918441 1532703 1632391 1713021 1734833 1824437 2130831 3936943 4598109 4897173 5139063 5204499 5473311 9707119 11810829 14691519 15613497 16419933 29121357 31015429 35432487 66928031 74801917 87364071 93046287 200784093 224405751 279138861 602352279 673217253 1271632589 3814897767 11444693301