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11201020247151 = 3271943268980929
BaseRepresentation
bin1010001011111111000011…
…0101010011110001101111
31110122210210100201021210100
42202333300311103301233
52432004142140402101
635453402213042143
72234150503116660
oct242776065236157
943583710637710
1011201020247151
113629364a12979
12130a9bb026353
13633336c1c167
142aa1bcd55367
1514656e4ade86
hexa2ff0d53c6f

11201020247151 has 96 divisors (see below), whose sum is σ = 19924059584000. Its totient is φ = 5920417972224.

The previous prime is 11201020247129. The next prime is 11201020247171. The reversal of 11201020247151 is 15174202010211.

11201020247151 is a `hidden beast` number, since 1 + 120 + 1 + 0 + 20 + 2 + 471 + 51 = 666.

It is not a de Polignac number, because 11201020247151 - 29 = 11201020246639 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201020247111) 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, 138365055 + ... + 138445983.

Almost surely, 211201020247151 is an apocalyptic number.

11201020247151 is a deficient number, since it is larger than the sum of its proper divisors (8723039336849).

11201020247151 is a wasteful number, since it uses less digits than its factorization.

11201020247151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83693 (or 83690 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 11201020247151 its reverse (15174202010211), we get a palindrome (26375222257362).

The spelling of 11201020247151 in words is "eleven trillion, two hundred one billion, twenty million, two hundred forty-seven thousand, one hundred fifty-one".

Divisors: 1 3 7 9 19 21 43 57 63 129 133 171 301 387 399 817 903 1197 2451 2689 2709 5719 7353 8067 17157 18823 24201 51091 51471 56469 80929 115627 153273 169407 242787 346881 357637 459819 566503 728361 809389 1040643 1072911 1537651 1699509 2196913 2428167 3218733 3479947 4612953 5098527 6590739 7284501 10439841 10763557 13838859 15378391 19772217 24359629 31319523 32290671 46135173 66118993 73078887 96872013 138405519 198356979 217618081 219236661 462832951 595070937 652854243 1388498853 1523326567 1958562729 4134743539 4165496559 4569979701 9357577483 12404230617 13709939103 28072732449 28943204773 37212691851 65503042381 84218197347 86829614319 177793972177 196509127143 260488842957 533381916531 589527381429 1244557805239 1600145749593 3733673415717 11201020247151