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1109361231 = 3311172341233
BaseRepresentation
bin100001000011111…
…1000001001001111
32212022110101112000
41002013320021033
54232444024411
6302025243343
736330262206
oct10207701117
92768411460
101109361231
1151a229570
1226b633553
13148aaa884
14a749823d
15675d4956
hex421f824f

1109361231 has 128 divisors (see below), whose sum is σ = 2037934080. Its totient is φ = 587980800.

The previous prime is 1109361229. The next prime is 1109361251. The reversal of 1109361231 is 1321639011.

1109361231 is a `hidden beast` number, since 1 + 10 + 9 + 3 + 612 + 31 = 666.

It is not a de Polignac number, because 1109361231 - 21 = 1109361229 is a prime.

It is a super-2 number, since 2×11093612312 = 2461364681691670722, which contains 22 as substring.

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 = 1109361195 and 1109361204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109361251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4761091 + ... + 4761323.

It is an arithmetic number, because the mean of its divisors is an integer number (15921360).

Almost surely, 21109361231 is an apocalyptic number.

1109361231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1109361231 is a deficient number, since it is larger than the sum of its proper divisors (928572849).

1109361231 is a wasteful number, since it uses less digits than its factorization.

1109361231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1109361231 is about 33307.0747889994. The cubic root of 1109361231 is about 1035.2001545271.

The spelling of 1109361231 in words is "one billion, one hundred nine million, three hundred sixty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 11 17 23 27 33 41 51 69 99 123 153 187 207 233 253 297 369 391 451 459 561 621 697 699 759 943 1107 1173 1353 1683 2091 2097 2277 2563 2829 3519 3961 4059 4301 5049 5359 6273 6291 6831 7667 7689 8487 9553 10373 10557 11883 12177 12903 16031 16077 18819 23001 23067 25461 28659 31119 35649 38709 43571 48093 48231 58949 69003 69201 85977 91103 93357 105083 106947 116127 130713 144279 144693 162401 176341 176847 207009 219719 257931 273309 280071 315249 392139 432837 487203 529023 530541 659157 819927 945747 1002133 1176417 1461609 1587069 1591623 1786411 1977471 2416909 2459781 2837241 3006399 3735223 4384827 4761207 5359233 5932413 7250727 9019197 11205669 16077699 21752181 27057591 33617007 41087453 48233097 65256543 100851021 123262359 369787077 1109361231