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111210414320 = 24531247318133
BaseRepresentation
bin110011110010010101…
…0000100000011110000
3101122001110000101200002
41213210222010003300
53310224331224240
6123031145045132
711014616632115
oct1474452040360
9348043011602
10111210414320
114318941a325
12196781867a8
13a6441c96b5
14554dc6490c
152d5d4ddd15
hex19e4a840f0

111210414320 has 80 divisors (see below), whose sum is σ = 267027647232. Its totient is φ = 43029411840.

The previous prime is 111210414257. The next prime is 111210414347. The reversal of 111210414320 is 23414012111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1112104143202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111210414292 and 111210414301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6123974 + ... + 6142106.

Almost surely, 2111210414320 is an apocalyptic number.

111210414320 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 111210414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133513823616).

111210414320 is an abundant number, since it is smaller than the sum of its proper divisors (155817232912).

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

111210414320 is a wasteful number, since it uses less digits than its factorization.

111210414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20650 (or 20644 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 111210414320 its reverse (23414012111), we get a palindrome (134624426431).

The spelling of 111210414320 in words is "one hundred eleven billion, two hundred ten million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2473 2480 4946 9892 12365 18133 19784 24730 36266 39568 49460 72532 76663 90665 98920 145064 153326 181330 197840 290128 306652 362660 383315 562123 613304 725320 766630 1124246 1226608 1450640 1533260 2248492 2810615 3066520 4496984 5621230 6133040 8993968 11242460 22484920 44842909 44969840 89685818 179371636 224214545 358743272 448429090 717486544 896858180 1390130179 1793716360 2780260358 3587432720 5560520716 6950650895 11121041432 13901301790 22242082864 27802603580 55605207160 111210414320