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111113121432 = 23337792576163
BaseRepresentation
bin110011101111011011…
…0111010111010011000
3101121210122221101220210
41213132312322322120
53310024424341212
6123013351451120
711012325643305
oct1473666727230
9347718841823
10111113121432
1143139507785
121964b686aa0
13a629cc3141
145540d7a0ac
152d54bc153c
hex19dedbae98

111113121432 has 128 divisors (see below), whose sum is σ = 290072908800. Its totient is φ = 35436331008.

The previous prime is 111113121419. The next prime is 111113121433. The reversal of 111113121432 is 234121311111.

It is a happy number.

It is a super-2 number, since 2×1111131214322 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 111113121399 and 111113121408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111113121433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18025983 + ... + 18032145.

It is an arithmetic number, because the mean of its divisors is an integer number (2266194600).

Almost surely, 2111113121432 is an apocalyptic number.

111113121432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111113121432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145036454400).

111113121432 is an abundant number, since it is smaller than the sum of its proper divisors (178959787368).

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

111113121432 is a wasteful number, since it uses less digits than its factorization.

111113121432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6545 (or 6541 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

Adding to 111113121432 its reverse (234121311111), we get a palindrome (345234432543).

The spelling of 111113121432 in words is "one hundred eleven billion, one hundred thirteen million, one hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 79 111 148 158 222 237 257 296 316 444 474 514 632 771 888 948 1028 1542 1896 2056 2923 3084 5846 6163 6168 8769 9509 11692 12326 17538 18489 19018 20303 23384 24652 28527 35076 36978 38036 40606 49304 57054 60909 70152 73956 76072 81212 114108 121818 147912 162424 228031 228216 243636 456062 486877 487272 684093 751211 912124 973754 1368186 1460631 1502422 1583891 1824248 1947508 2253633 2736372 2921262 3004844 3167782 3895016 4507266 4751673 5472744 5842524 6009688 6335564 9014532 9503346 11685048 12671128 18014449 18029064 19006692 36028898 38013384 54043347 58603967 72057796 108086694 117207934 125127389 144115592 175811901 216173388 234415868 250254778 351623802 375382167 432346776 468831736 500509556 703247604 750764334 1001019112 1406495208 1501528668 3003057336 4629713393 9259426786 13889140179 18518853572 27778280358 37037707144 55556560716 111113121432