Search a number
-
+
11203001012133 = 32745915158193
BaseRepresentation
bin1010001100000110011011…
…1001010100111110100101
31110122222220101212120112100
42203001212321110332211
52432022221224342013
635454330531442313
72234250544260000
oct243014671247645
943588811776470
1011203001012133
11362a191011a27
12130b272456399
136335913c0348
142aa32a044537
15146638322473
hexa3066e54fa5

11203001012133 has 120 divisors (see below), whose sum is σ = 19325445272640. Its totient is φ = 6251426899200.

The previous prime is 11203001012087. The next prime is 11203001012179. The reversal of 11203001012133 is 33121010030211.

11203001012133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11203001012087) and next prime (11203001012179).

It is not a de Polignac number, because 11203001012133 - 213 = 11203001003941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11203001012183) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 192485485 + ... + 192543677.

It is an arithmetic number, because the mean of its divisors is an integer number (161045377272).

Almost surely, 211203001012133 is an apocalyptic number.

It is an amenable number.

11203001012133 is a deficient number, since it is larger than the sum of its proper divisors (8122444260507).

11203001012133 is an equidigital number, since it uses as much as digits as its factorization.

11203001012133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58437 (or 58413 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11203001012133 its reverse (33121010030211), we get a palindrome (44324011042344).

The spelling of 11203001012133 in words is "eleven trillion, two hundred three billion, one million, twelve thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 49 59 63 147 151 177 343 413 441 453 531 1029 1057 1239 1359 2401 2891 3087 3171 3717 7203 7399 8673 8909 9513 20237 21609 22197 26019 26727 51793 58193 60711 62363 66591 80181 141659 155379 174579 182133 187089 362551 407351 424977 436541 466137 523737 561267 1087653 1222053 1274931 1309623 2851457 3055787 3262959 3433387 3666159 3928869 8554371 8787143 9167361 10300161 19960199 21390509 24033709 25663113 26361429 27502083 30900483 59880597 61510001 64171527 72101127 79084287 139721393 168235963 179641791 184530003 192514581 216303381 419164179 430570007 504707889 518441437 553590009 1177651741 1257492537 1291710021 1514123667 1555324311 3013990049 3532955223 3629090059 3875130063 4665972933 8243562187 9041970147 10598865669 10887270177 21097930343 24730686561 25403630413 27125910441 32661810531 63293791029 74192059683 76210891239 177825412891 189881373087 228632673717 533476238673 1244777890237 1600428716019 3734333670711 11203001012133