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11332121000031 = 32131773106373421
BaseRepresentation
bin1010010011100111011100…
…0010111111100001011111
31111010100011222220120111100
42210321313002333201133
52441131140434000111
640033523213124143
72246501344124256
oct244716702774137
944110158816440
1011332121000031
113679a1a970a27
1213302a8489653
136427cab79250
142b26986b779d
15149b93ca6756
hexa4e770bf85f

11332121000031 has 96 divisors (see below), whose sum is σ = 18938407243392. Its totient is φ = 6467312885760.

The previous prime is 11332120999973. The next prime is 11332121000063. The reversal of 11332121000031 is 13000012123311.

It is not a de Polignac number, because 11332121000031 - 221 = 11332118902879 is a prime.

It is a super-2 number, since 2×113321210000312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11332120999968 and 11332121000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332121000531) 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, 154307701 + ... + 154381121.

It is an arithmetic number, because the mean of its divisors is an integer number (197275075452).

Almost surely, 211332121000031 is an apocalyptic number.

11332121000031 is a deficient number, since it is larger than the sum of its proper divisors (7606286243361).

11332121000031 is a wasteful number, since it uses less digits than its factorization.

11332121000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74593 (or 74590 counting only the distinct ones).

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

Adding to 11332121000031 its reverse (13000012123311), we get a palindrome (24332133123342).

The spelling of 11332121000031 in words is "eleven trillion, three hundred thirty-two billion, one hundred twenty-one million, thirty-one", and thus it is an aban number.

Divisors: 1 3 9 13 17 39 51 73 117 153 219 221 657 663 949 1063 1241 1989 2847 3189 3723 8541 9567 11169 13819 16133 18071 41457 48399 54213 73421 77599 124371 145197 162639 220263 232797 234923 660789 698391 704769 954473 1008787 1248157 1319183 2114307 2863419 3026361 3744471 3957549 5359733 8590257 9079083 11233413 11872647 16079199 16226041 17149379 48237597 48678123 51448137 69676529 78046523 91115461 146034369 154344411 209029587 234139569 273346383 627088761 702418707 820039149 1014604799 1184500993 1326790891 3043814397 3553502979 3980372673 5697396179 9131443191 10660508937 11941118019 17092188537 17248281583 51276565611 51744844749 74066150327 96855735043 155234534247 222198450981 290567205129 666595352943 871701615387 1259124555559 3777373666677 11332121000031