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11201111112330 = 23252935117122209
BaseRepresentation
bin1010001011111111011000…
…1111111011101010001010
31110122211000200200201101100
42202333312033323222022
52432004333421043310
635453415220402230
72234152655345016
oct242776617735212
943584020621340
1011201111112330
113629401235267
12130aa25546376
1363334c9b4b39
142aa1cb049546
1514657745bec0
hexa2ff63fba8a

11201111112330 has 96 divisors (see below), whose sum is σ = 30128230875600. Its totient is φ = 2883858518016.

The previous prime is 11201111112329. The next prime is 11201111112397. The reversal of 11201111112330 is 3321111110211.

11201111112330 is a `hidden beast` number, since 11 + 201 + 1 + 11 + 112 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8453147481 + 11192657964849 = 91941^2 + 3345543^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91594266 + ... + 91716474.

Almost surely, 211201111112330 is an apocalyptic number.

11201111112330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11201111112330 is an abundant number, since it is smaller than the sum of its proper divisors (18927119763270).

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

11201111112330 is a wasteful number, since it uses less digits than its factorization.

11201111112330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157368 (or 157365 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11201111112330 its reverse (3321111110211), we get a palindrome (14522222222541).

The spelling of 11201111112330 in words is "eleven trillion, two hundred one billion, one hundred eleven million, one hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 35117 70234 105351 122209 175585 210702 244418 316053 351170 366627 526755 611045 632106 733254 1018393 1053510 1099881 1222090 1580265 1833135 2036786 2199762 3055179 3160530 3544061 3666270 5091965 5499405 6110358 7088122 9165537 10183930 10632183 10998810 15275895 17720305 18331074 21264366 30551790 31896549 35440610 45827685 53160915 63793098 91655370 106321830 159482745 318965490 4291613453 8583226906 12874840359 21458067265 25749680718 38624521077 42916134530 64374201795 77249042154 124456790137 128748403590 193122605385 248913580274 373370370411 386245210770 622283950685 746740740822 1120111111233 1244567901370 1866851852055 2240222222466 3733703704110 5600555556165 11201111112330