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11200120100 = 22521321315059
BaseRepresentation
bin10100110111001010…
…00100010100100100
31001220120000001101222
422123211010110210
5140414212320400
65051213235512
7544356310241
oct123345042444
931816001358
1011200120100
1148281a3004
122206a92b98
131096524500
147836c45c8
1545841e185
hex29b944524

11200120100 has 108 divisors (see below), whose sum is σ = 26523771120. Its totient is φ = 4103049600.

The previous prime is 11200120097. The next prime is 11200120103. The reversal of 11200120100 is 102100211.

It is an interprime number because it is at equal distance from previous prime (11200120097) and next prime (11200120103).

It is not an unprimeable number, because it can be changed into a prime (11200120103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2211371 + ... + 2216429.

Almost surely, 211200120100 is an apocalyptic number.

11200120100 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 11200120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13261885560).

11200120100 is an abundant number, since it is smaller than the sum of its proper divisors (15323651020).

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

11200120100 is a wasteful number, since it uses less digits than its factorization.

11200120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5230 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11200120100 its reverse (102100211), we get a palindrome (11302220311).

The spelling of 11200120100 in words is "eleven billion, two hundred million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 131 169 260 262 325 338 524 650 655 676 845 1300 1310 1690 1703 2620 3275 3380 3406 4225 5059 6550 6812 8450 8515 10118 13100 16900 17030 20236 22139 25295 34060 42575 44278 50590 65767 85150 88556 101180 110695 126475 131534 170300 221390 252950 263068 328835 442780 505900 553475 657670 662729 854971 1106950 1315340 1325458 1644175 1709942 2213900 2650916 3288350 3313645 3419884 4274855 6576700 6627290 8549710 8615477 13254580 16568225 17099420 17230954 21374275 33136450 34461908 42748550 43077385 66272900 85497100 86154770 112001201 172309540 215386925 224002402 430773850 448004804 560006005 861547700 1120012010 2240024020 2800030025 5600060050 11200120100