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10111101100110 = 2335349107302357
BaseRepresentation
bin1001001100100010110010…
…0101101110000001001110
31022210121112000112220121000
42103020230211232001032
52311130013340200420
633300550431121130
72062334340202203
oct223105445560116
938717460486530
1010111101100110
113249103a7aa1a
1211737233731a6
1358461b7cca4a
1426d546659caa
1512802da3c690
hex9322c96e04e

10111101100110 has 64 divisors (see below), whose sum is σ = 27040194216000. Its totient is φ = 2688567831936.

The previous prime is 10111101100063. The next prime is 10111101100169. The reversal of 10111101100110 is 1100110111101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10111101100092 and 10111101100101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53556949 + ... + 53745408.

It is an arithmetic number, because the mean of its divisors is an integer number (422503034625).

Almost surely, 210111101100110 is an apocalyptic number.

10111101100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10111101100110 is an abundant number, since it is smaller than the sum of its proper divisors (16929093115890).

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

10111101100110 is a wasteful number, since it uses less digits than its factorization.

10111101100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107302722 (or 107302716 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10111101100110 its reverse (1100110111101), we get a palindrome (11211211211211).

The spelling of 10111101100110 in words is "ten trillion, one hundred eleven billion, one hundred one million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 349 698 1047 1745 2094 3141 3490 5235 6282 9423 10470 15705 18846 31410 47115 94230 107302357 214604714 321907071 536511785 643814142 965721213 1073023570 1609535355 1931442426 2897163639 3219070710 4828606065 5794327278 9657212130 14485818195 28971636390 37448522593 74897045186 112345567779 187242612965 224691135558 337036703337 374485225930 561727838895 674073406674 1011110110011 1123455677790 1685183516685 2022220220022 3370367033370 5055550550055 10111101100110