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1121103113031 = 32111711318132569
BaseRepresentation
bin10000010100000110111…
…100111110101101000111
310222011202121021222120200
4100110012330332231013
5121332004344104111
62215005550301543
7143665660141266
oct20240674765507
93864677258520
101121103113031
113a2503531180
1216133b1b78b3
1381947b837c5
143c39409c5dd
151e2684ba256
hex10506f3eb47

1121103113031 has 96 divisors (see below), whose sum is σ = 1897540706880. Its totient is φ = 630308044800.

The previous prime is 1121103113027. The next prime is 1121103113033. The reversal of 1121103113031 is 1303113011211.

It is not a de Polignac number, because 1121103113031 - 22 = 1121103113027 is a prime.

It is a super-2 number, since 2×11211031130312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121103112995 and 1121103113013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121103113033) 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, 34406115 + ... + 34438683.

It is an arithmetic number, because the mean of its divisors is an integer number (19766049030).

Almost surely, 21121103113031 is an apocalyptic number.

1121103113031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1121103113031 is a deficient number, since it is larger than the sum of its proper divisors (776437593849).

1121103113031 is a wasteful number, since it uses less digits than its factorization.

1121103113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32897 (or 32894 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1121103113031 its reverse (1303113011211), we get a palindrome (2424216124242).

The spelling of 1121103113031 in words is "one trillion, one hundred twenty-one billion, one hundred three million, one hundred thirteen thousand, thirty-one".

Divisors: 1 3 9 11 17 33 51 99 113 153 181 187 339 543 561 1017 1243 1629 1683 1921 1991 3077 3729 5763 5973 9231 11187 17289 17919 20453 21131 27693 32569 33847 61359 63393 97707 101541 184077 190179 224983 293121 304623 347701 358259 553673 674949 1043103 1074777 1661019 2024847 3129309 3224331 3680297 3824711 4983057 5894989 6090403 11040891 11474133 17684967 18271209 33122673 34422399 40483267 53054901 54813627 62565049 64844879 100214813 121449801 187695147 194534637 300644439 364349403 563085441 583603911 666133757 688215539 901933317 1102362943 1998401271 2064646617 3307088829 5995203813 6193939851 7327471327 9921266487 11324273869 21982413981 33972821607 65947241943 101918464821 124567012559 373701037677 1121103113031