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11212130100 = 22352316711801
BaseRepresentation
bin10100111000100101…
…11000011100110100
31001221101121020000210
422130102320130310
5140430301130400
65052322505420
7544563350643
oct123422703464
931841536023
1011212130100
114833a56326
12220ab05270
131098b6ac12
1478512d35a
154594e2950
hex29c4b8734

11212130100 has 72 divisors (see below), whose sum is σ = 32453422848. Its totient is φ = 2988704000.

The previous prime is 11212130029. The next prime is 11212130107. The reversal of 11212130100 is 103121211.

It is a super-2 number, since 2×112121301002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212130107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944200 + ... + 956000.

It is an arithmetic number, because the mean of its divisors is an integer number (450741984).

Almost surely, 211212130100 is an apocalyptic number.

11212130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212130100 is an abundant number, since it is smaller than the sum of its proper divisors (21241292748).

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

11212130100 is a wasteful number, since it uses less digits than its factorization.

11212130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14985 (or 14978 counting only the distinct ones).

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

Adding to 11212130100 its reverse (103121211), we get a palindrome (11315251311).

The spelling of 11212130100 in words is "eleven billion, two hundred twelve million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3167 6334 9501 11801 12668 15835 19002 23602 31670 35403 38004 47204 47505 59005 63340 70806 79175 95010 118010 141612 158350 177015 190020 236020 237525 295025 316700 354030 475050 590050 708060 885075 950100 1180100 1770150 3540300 37373767 74747534 112121301 149495068 186868835 224242602 373737670 448485204 560606505 747475340 934344175 1121213010 1868688350 2242426020 2803032525 3737376700 5606065050 11212130100