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111235430100 = 223525367104417
BaseRepresentation
bin110011110011000100…
…1011111011011010100
3101122010012002022212110
41213212021133123110
53310302232230400
6123033441151020
711015342361324
oct1474611373324
9348105068773
10111235430100
11431a1556023
121968462b470
13a649447b32
1455532d7284
152d607d0e50
hex19e625f6d4

111235430100 has 144 divisors (see below), whose sum is σ = 332811073728. Its totient is φ = 28668456960.

The previous prime is 111235430093. The next prime is 111235430143. The reversal of 111235430100 is 1034532111.

111235430100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1013092 + ... + 1117508.

It is an arithmetic number, because the mean of its divisors is an integer number (2311188012).

Almost surely, 2111235430100 is an apocalyptic number.

111235430100 is a gapful number since it is divisible by the number (10) 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 111235430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166405536864).

111235430100 is an abundant number, since it is smaller than the sum of its proper divisors (221575643628).

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

111235430100 is a wasteful number, since it uses less digits than its factorization.

111235430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104554 (or 104547 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 111235430100 its reverse (1034532111), we get a palindrome (112269962211).

The spelling of 111235430100 in words is "one hundred eleven billion, two hundred thirty-five million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 67 75 100 106 134 150 159 201 212 265 268 300 318 335 402 530 636 670 795 804 1005 1060 1325 1340 1590 1675 2010 2650 3180 3350 3551 3975 4020 5025 5300 6700 7102 7950 10050 10653 14204 15900 17755 20100 21306 35510 42612 53265 71020 88775 104417 106530 177550 208834 213060 266325 313251 355100 417668 522085 532650 626502 1044170 1065300 1253004 1566255 2088340 2610425 3132510 5220850 5534101 6265020 6995939 7831275 10441700 11068202 13991878 15662550 16602303 20987817 22136404 27670505 27983756 31325100 33204606 34979695 41975634 55341010 66409212 69959390 83011515 83951268 104939085 110682020 138352525 139918780 166023030 174898475 209878170 276705050 332046060 349796950 370784767 415057575 419756340 524695425 553410100 699593900 741569534 830115150 1049390850 1112354301 1483139068 1660230300 1853923835 2098781700 2224708602 3707847670 4449417204 5561771505 7415695340 9269619175 11123543010 18539238350 22247086020 27808857525 37078476700 55617715050 111235430100