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10101221120 = 28571111149
BaseRepresentation
bin10010110100001010…
…00110011100000000
3222001222020012101202
421122011012130000
5131141403033440
64350200120332
7505213651154
oct113205063400
928058205352
1010101221120
11431396aa31
121b5aa660a8
13c4c96aa23
146bb791064
153e1c04615
hex25a146700

10101221120 has 72 divisors (see below), whose sum is σ = 24536584800. Its totient is φ = 3983544320.

The previous prime is 10101221113. The next prime is 10101221171. The reversal of 10101221120 is 2112210101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35306 + ... + 146454.

It is an arithmetic number, because the mean of its divisors is an integer number (340785900).

Almost surely, 210101221120 is an apocalyptic number.

10101221120 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 10101221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12268292400).

10101221120 is an abundant number, since it is smaller than the sum of its proper divisors (14435363680).

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

10101221120 is an equidigital number, since it uses as much as digits as its factorization.

10101221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111241 (or 111227 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10101221120 its reverse (2112210101), we get a palindrome (12213431221).

The spelling of 10101221120 in words is "ten billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 320 355 568 640 710 1136 1280 1420 2272 2840 4544 5680 9088 11360 18176 22720 45440 90880 111149 222298 444596 555745 889192 1111490 1778384 2222980 3556768 4445960 7113536 7891579 8891920 14227072 15783158 17783840 28454144 31566316 35567680 39457895 63132632 71135360 78915790 126265264 142270720 157831580 252530528 315663160 505061056 631326320 1010122112 1262652640 2020244224 2525305280 5050610560 10101221120