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111100010010010 = 25783172111111101
BaseRepresentation
bin11001010000101101111100…
…101000011001010110011010
3112120101001112201110002222221
4121100231330220121112122
5104030230310030310020
61032142350123534254
732254465550365030
oct3120557450312632
9476331481402887
10111100010010010
113244428230891a
1210563b1468a38a
1349cb8bc1729c8
141d613aa892550
15cc9e75ede6aa
hex650b7ca1959a

111100010010010 has 64 divisors (see below), whose sum is σ = 231436610221824. Its totient is φ = 37610629056000.

The previous prime is 111100010009921. The next prime is 111100010010079. The reversal of 111100010010010 is 10010010001111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

111100010010010 is a modest number, since divided by 10010010 gives 111100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 111100010009975 and 111100010010002.

It is an unprimeable number.

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, 4443460 + ... + 15554560.

It is an arithmetic number, because the mean of its divisors is an integer number (3616197034716).

Almost surely, 2111100010010010 is an apocalyptic number.

111100010010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111100010010010 is an abundant number, since it is smaller than the sum of its proper divisors (120336600211814).

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

111100010010010 is a wasteful number, since it uses less digits than its factorization.

111100010010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11112919.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 111100010010010 its reverse (10010010001111), we get a palindrome (121110020011121).

The spelling of 111100010010010 in words is "one hundred eleven trillion, one hundred billion, ten million, ten thousand, ten".

Divisors: 1 2 5 7 10 14 35 70 83 166 415 581 830 1162 1721 2905 3442 5810 8605 12047 17210 24094 60235 120470 142843 285686 714215 999901 1428430 1999802 4999505 9999010 11111101 22222202 55555505 77777707 111111010 155555414 388888535 777777070 922221383 1844442766 4611106915 6455549681 9222213830 12911099362 19122204821 32277748405 38244409642 64555496810 95611024105 133855433747 191222048210 267710867494 669277168735 1338554337470 1587143000143 3174286000286 7935715000715 11110001001001 15871430001430 22220002002002 55550005005005 111100010010010