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11020202112 = 2731011491907
BaseRepresentation
bin10100100001101101…
…01111000010000000
31001110000110021022210
422100312233002000
5140032132431422
65021305102120
7540043113063
oct122066570200
931400407283
1011020202112
114745686a57
122176787940
13106817ba6a
1476784c8da
1544773010c
hex290daf080

11020202112 has 128 divisors (see below), whose sum is σ = 29776248000. Its totient is φ = 3610726400.

The previous prime is 11020202093. The next prime is 11020202119. The reversal of 11020202112 is 21120202011.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (11020202119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5777863 + ... + 5779769.

Almost surely, 211020202112 is an apocalyptic number.

11020202112 is a gapful number since it is divisible by the number (12) 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 11020202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14888124000).

11020202112 is an abundant number, since it is smaller than the sum of its proper divisors (18756045888).

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

11020202112 is a wasteful number, since it uses less digits than its factorization.

11020202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11020202112 its reverse (21120202011), we get a palindrome (32140404123).

The spelling of 11020202112 in words is "eleven billion, twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 149 192 202 298 303 384 404 447 596 606 808 894 1192 1212 1616 1788 1907 2384 2424 3232 3576 3814 4768 4848 5721 6464 7152 7628 9536 9696 11442 12928 14304 15049 15256 19072 19392 22884 28608 30098 30512 38784 45147 45768 57216 60196 61024 90294 91536 120392 122048 180588 183072 192607 240784 244096 284143 361176 366144 385214 481568 568286 577821 722352 732288 770428 852429 963136 1136572 1155642 1444704 1540856 1704858 1926272 2273144 2311284 2889408 3081712 3409716 4546288 4622568 5778816 6163424 6819432 9092576 9245136 12326848 13638864 18185152 18490272 24653696 27277728 28698443 36370304 36980544 54555456 57396886 73961088 86095329 109110912 114793772 172190658 229587544 344381316 459175088 688762632 918350176 1377525264 1836700352 2755050528 3673400704 5510101056 11020202112