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34110111100 = 22521371369557
BaseRepresentation
bin11111110001000111…
…101111110101111100
310021001012012011212011
4133301013233311330
51024324142023400
623400414021004
72315165106022
oct376107576574
9107035164764
1034110111100
11135142a536a
12673b4a7764
1332a7a5a5c0
141918262712
15d4989e8ba
hex7f11efd7c

34110111100 has 72 divisors (see below), whose sum is σ = 80835638688. Its totient is φ = 12417081600.

The previous prime is 34110111043. The next prime is 34110111121. The reversal of 34110111100 is 111101143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92479 + ... + 277078.

It is an arithmetic number, because the mean of its divisors is an integer number (1122717204).

Almost surely, 234110111100 is an apocalyptic number.

It is an amenable number.

34110111100 is an abundant number, since it is smaller than the sum of its proper divisors (46725527588).

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

34110111100 is a wasteful number, since it uses less digits than its factorization.

34110111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369655 (or 369648 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 34110111100 its reverse (111101143), we get a palindrome (34221212243).

The spelling of 34110111100 in words is "thirty-four billion, one hundred ten million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 71 100 130 142 260 284 325 355 650 710 923 1300 1420 1775 1846 3550 3692 4615 7100 9230 18460 23075 46150 92300 369557 739114 1478228 1847785 3695570 4804241 7391140 9238925 9608482 18477850 19216964 24021205 26238547 36955700 48042410 52477094 96084820 104954188 120106025 131192735 240212050 262385470 341101111 480424100 524770940 655963675 682202222 1311927350 1364404444 1705505555 2623854700 3411011110 6822022220 8527527775 17055055550 34110111100