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11034214100 = 22527131212551
BaseRepresentation
bin10100100011011000…
…01011111011010100
31001110222211011011022
422101230023323110
5140044224322400
65022525300312
7540303162260
oct122154137324
931428734138
1011034214100
114752587408
12217b404698
13106b046790
147696590a0
15448a9bb85
hex291b0bed4

11034214100 has 72 divisors (see below), whose sum is σ = 29469863808. Its totient is φ = 3492144000.

The previous prime is 11034214099. The next prime is 11034214117. The reversal of 11034214100 is 141243011.

It is a happy number.

11034214100 is digitally balanced in base 2, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597176 + ... + 615375.

It is an arithmetic number, because the mean of its divisors is an integer number (409303664).

Almost surely, 211034214100 is an apocalyptic number.

11034214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11034214100 is an abundant number, since it is smaller than the sum of its proper divisors (18435649708).

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

11034214100 is a wasteful number, since it uses less digits than its factorization.

11034214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212585 (or 1212578 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11034214100 its reverse (141243011), we get a palindrome (11175457111).

The spelling of 11034214100 in words is "eleven billion, thirty-four million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 1212551 2425102 4850204 6062755 8487857 12125510 15763163 16975714 24251020 30313775 31526326 33951428 42439285 60627550 63052652 78815815 84878570 110342141 121255100 157631630 169757140 212196425 220684282 315263260 394079075 424392850 441368564 551710705 788158150 848785700 1103421410 1576316300 2206842820 2758553525 5517107050 11034214100