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11212110100 = 22524127110091
BaseRepresentation
bin10100111000100101…
…10011100100010100
31001221101120012121001
422130102303210110
5140430300010400
65052322233044
7544563235432
oct123422634424
931841505531
1011212110100
114833a422a4
12220aab5784
131098b61a99
14785125d52
154594dba6a
hex29c4b3914

11212110100 has 72 divisors (see below), whose sum is σ = 25018148736. Its totient is φ = 4358880000.

The previous prime is 11212110097. The next prime is 11212110103. The reversal of 11212110100 is 101121211.

It is an interprime number because it is at equal distance from previous prime (11212110097) and next prime (11212110103).

It is a super-2 number, since 2×112121101002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212110103) 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, 1106055 + ... + 1116145.

It is an arithmetic number, because the mean of its divisors is an integer number (347474288).

Almost surely, 211212110100 is an apocalyptic number.

11212110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509074368).

11212110100 is an abundant number, since it is smaller than the sum of its proper divisors (13806038636).

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

11212110100 is a wasteful number, since it uses less digits than its factorization.

11212110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10417 (or 10410 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11212110100 its reverse (101121211), we get a palindrome (11313231311).

It can be divided in two parts, 112121 and 10100, that added together give a palindrome (122221).

The spelling of 11212110100 in words is "eleven billion, two hundred twelve million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 271 410 542 820 1025 1084 1355 2050 2710 4100 5420 6775 10091 11111 13550 20182 22222 27100 40364 44444 50455 55555 100910 111110 201820 222220 252275 277775 413731 504550 555550 827462 1009100 1111100 1654924 2068655 2734661 4137310 5469322 8274620 10343275 10938644 13673305 20686550 27346610 41373100 54693220 68366525 112121101 136733050 224242202 273466100 448484404 560605505 1121211010 2242422020 2803027525 5606055050 11212110100