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11234132200 = 235297757493
BaseRepresentation
bin10100111011001101…
…10100000011101000
31001222221000001020101
422131212310003220
5141001414212300
65054430235144
7545251356004
oct123546640350
931887001211
1011234132200
114845413885
122216355ab4
1310a05a2705
14788019704
1545b3dbb6a
hex29d9b40e8

11234132200 has 48 divisors (see below), whose sum is σ = 26146546380. Its totient is φ = 4488975360.

The previous prime is 11234132179. The next prime is 11234132207. The reversal of 11234132200 is 223143211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6465124836 + 4769007364 = 80406^2 + 69058^2 .

It is not an unprimeable number, because it can be changed into a prime (11234132207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166654 + ... + 224146.

Almost surely, 211234132200 is an apocalyptic number.

11234132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11234132200 is an abundant number, since it is smaller than the sum of its proper divisors (14912414180).

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

11234132200 is a wasteful number, since it uses less digits than its factorization.

11234132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58486 (or 58477 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11234132200 its reverse (223143211), we get a palindrome (11457275411).

The spelling of 11234132200 in words is "eleven billion, two hundred thirty-four million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 977 1954 3908 4885 7816 9770 19540 24425 39080 48850 57493 97700 114986 195400 229972 287465 459944 574930 1149860 1437325 2299720 2874650 5749300 11498600 56170661 112341322 224682644 280853305 449365288 561706610 1123413220 1404266525 2246826440 2808533050 5617066100 11234132200