Search a number
-
+
11121001983 = 3271329795927
BaseRepresentation
bin10100101101101110…
…10000010111111111
31001201001010102202100
422112313100113333
5140233434030413
65035305400143
7542405646210
oct122667202777
931631112670
1011121001983
114797574433
1221a4499053
131083012660
14776dab407
154514e1a73
hex296dd05ff

11121001983 has 96 divisors (see below), whose sum is σ = 20714803200. Its totient is φ = 5591109888.

The previous prime is 11121001951. The next prime is 11121001987. The reversal of 11121001983 is 38910012111.

It is not a de Polignac number, because 11121001983 - 25 = 11121001951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121001987) 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, 1873366 + ... + 1879292.

It is an arithmetic number, because the mean of its divisors is an integer number (215779200).

Almost surely, 211121001983 is an apocalyptic number.

11121001983 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11121001983 is a deficient number, since it is larger than the sum of its proper divisors (9593801217).

11121001983 is a wasteful number, since it uses less digits than its factorization.

11121001983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6061 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 11121001983 in words is "eleven billion, one hundred twenty-one million, one thousand, nine hundred eighty-three".

Divisors: 1 3 7 9 13 21 29 39 63 79 87 91 117 203 237 261 273 377 553 609 711 819 1027 1131 1659 1827 2291 2639 3081 3393 4977 5927 6873 7189 7917 9243 16037 17781 20619 21567 23751 29783 41489 48111 53343 64701 77051 89349 124467 144333 171883 208481 231153 268047 373401 468233 515649 539357 625443 693459 1203181 1404699 1546947 1618071 1876329 2234479 3277631 3609543 4214097 4854213 6087029 6703437 9832893 10828629 13578757 15641353 18261087 20110311 29498679 40736271 42609203 46924059 54783261 95051299 122208813 127827609 140772177 176523841 285153897 383482827 529571523 855461691 1235666887 1588714569 3707000661 11121001983