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191109291102 = 232173141491377
BaseRepresentation
bin1011000111111100000…
…0000101110001011110
3200021021201211212200200
42301333000011301132
511112342434303402
6223443331204330
716543603112622
oct2617700056136
9607251755620
10191109291102
117405a237aa4
12310561466a6
13150383b6692
14936d3d9182
154e87b8521c
hex2c7f005c5e

191109291102 has 96 divisors (see below), whose sum is σ = 463609246464. Its totient is φ = 56606515200.

The previous prime is 191109291091. The next prime is 191109291103. The reversal of 191109291102 is 201192901191.

191109291102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1911092911022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191109291103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143238 + ... + 634614.

It is an arithmetic number, because the mean of its divisors is an integer number (4829262984).

Almost surely, 2191109291102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191109291102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231804623232).

191109291102 is an abundant number, since it is smaller than the sum of its proper divisors (272499955362).

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

191109291102 is a wasteful number, since it uses less digits than its factorization.

191109291102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491474 (or 491471 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 36.

The spelling of 191109291102 in words is "one hundred ninety-one billion, one hundred nine million, two hundred ninety-one thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 31 34 41 51 62 82 93 102 123 153 186 246 279 306 369 527 558 697 738 1054 1271 1394 1581 2091 2542 3162 3813 4182 4743 6273 7626 9486 11439 12546 21607 22878 43214 64821 129642 194463 388926 491377 982754 1474131 2948262 4422393 8353409 8844786 15232687 16706818 20146457 25060227 30465374 40292914 45698061 50120454 60439371 75180681 91396122 120878742 137094183 150361362 181318113 258955679 274188366 342489769 362636226 517911358 624540167 684979538 776867037 1027469307 1249080334 1553734074 1873620501 2054938614 2330601111 3082407921 3747241002 4661202222 5620861503 6164815842 10617182839 11241723006 21234365678 31851548517 63703097034 95554645551 191109291102