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11034710100 = 22325231193931
BaseRepresentation
bin10100100011011100…
…00101000001010100
31001111000202100112200
422101232011001110
5140044341210400
65022544044500
7540310326321
oct122156050124
931430670480
1011034710100
114752896027
12217b603730
13106b18b47b
14769747b48
15448b48b00
hex291b85054

11034710100 has 108 divisors (see below), whose sum is σ = 34607576640. Its totient is φ = 2940897600.

The previous prime is 11034710051. The next prime is 11034710101. The reversal of 11034710100 is 101743011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034710101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2805135 + ... + 2809065.

Almost surely, 211034710100 is an apocalyptic number.

11034710100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11034710100 is an abundant number, since it is smaller than the sum of its proper divisors (23572866540).

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

11034710100 is a wasteful number, since it uses less digits than its factorization.

11034710100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7070 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 11034710100 in words is "eleven billion, thirty-four million, seven hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 3119 3931 6238 7862 9357 11793 12476 15595 15724 18714 19655 23586 28071 31190 35379 37428 39310 46785 47172 56142 58965 62380 70758 77975 78620 93570 98275 112284 117930 140355 141516 155950 176895 187140 196550 233925 235860 280710 294825 311900 353790 393100 467850 561420 589650 701775 707580 884475 935700 1179300 1403550 1768950 2807100 3537900 12260789 24521578 36782367 49043156 61303945 73564734 110347101 122607890 147129468 183911835 220694202 245215780 306519725 367823670 441388404 551735505 613039450 735647340 919559175 1103471010 1226078900 1839118350 2206942020 2758677525 3678236700 5517355050 11034710100