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11523130201134 = 2331737757448157
BaseRepresentation
bin1010011110101111000000…
…0101010001010000101110
31111210121012202102100112000
42213223300011101100232
53002243332312414014
640301353011153130
72266342623421506
oct247536005212056
944717182370460
1011523130201134
113742a28655912
121361314ba57a6
1365781b5ba176
142bba1869aa06
1514eb22c6a509
hexa7af015142e

11523130201134 has 128 divisors (see below), whose sum is σ = 27882884949120. Its totient is φ = 3512739944448.

The previous prime is 11523130201133. The next prime is 11523130201159. The reversal of 11523130201134 is 43110203132511.

11523130201134 is a `hidden beast` number, since 1 + 1 + 523 + 1 + 3 + 0 + 2 + 0 + 1 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11523130201098 and 11523130201107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11523130201133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25488184 + ... + 25936340.

It is an arithmetic number, because the mean of its divisors is an integer number (217835038665).

Almost surely, 211523130201134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11523130201134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13941442474560).

11523130201134 is an abundant number, since it is smaller than the sum of its proper divisors (16359754747986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11523130201134 is a wasteful number, since it uses less digits than its factorization.

11523130201134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448979 (or 448973 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11523130201134 its reverse (43110203132511), we get a palindrome (54633333333645).

The spelling of 11523130201134 in words is "eleven trillion, five hundred twenty-three billion, one hundred thirty million, two hundred one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 111 153 222 306 333 459 629 666 757 918 999 1258 1514 1887 1998 2271 3774 4542 5661 6813 11322 12869 13626 16983 20439 25738 28009 33966 38607 40878 56018 77214 84027 115821 168054 231642 252081 347463 448157 476153 504162 694926 756243 896314 952306 1344471 1428459 1512486 2688942 2856918 4033413 4285377 7618669 8066826 8570754 12100239 12856131 15237338 16581809 22856007 24200478 25712262 33163618 45712014 49745427 68568021 99490854 137136042 149236281 205704063 281890753 298472562 339254849 411408126 447708843 563781506 678509698 845672259 895417686 1017764547 1691344518 2035529094 2537016777 3053293641 5074033554 5767332433 6106587282 7611050331 9159880923 11534664866 12552429413 15222100662 17301997299 18319761846 25104858826 34603994598 37657288239 51905991897 75314576478 103811983794 112971864717 155717975691 213391300021 225943729434 311435951382 338915594151 426782600042 640173900063 677831188302 1280347800126 1920521700189 3841043400378 5761565100567 11523130201134