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10121120220 = 22351271328231
BaseRepresentation
bin10010110110100010…
…00000100111011100
3222010100200011211110
421123101000213130
5131212001321340
64352150422020
7505545050061
oct113321004734
928110604743
1010121120220
114324121472
121b65661910
13c53b17243
146c0290c68
153e3835680
hex25b4409dc

10121120220 has 48 divisors (see below), whose sum is σ = 28562300928. Its totient is φ = 2677711680.

The previous prime is 10121120189. The next prime is 10121120237. The reversal of 10121120220 is 2202112101.

It is a super-3 number, since 3×101211202203 (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10121120196 and 10121120205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656496 + ... + 671735.

It is an arithmetic number, because the mean of its divisors is an integer number (595047936).

Almost surely, 210121120220 is an apocalyptic number.

10121120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121120220 is an abundant number, since it is smaller than the sum of its proper divisors (18441180708).

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

10121120220 is a wasteful number, since it uses less digits than its factorization.

10121120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328370 (or 1328368 counting only the distinct ones).

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

Adding to 10121120220 its reverse (2202112101), we get a palindrome (12323232321).

The spelling of 10121120220 in words is "ten billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 1328231 2656462 3984693 5312924 6641155 7969386 13282310 15938772 19923465 26564620 39846930 79693860 168685337 337370674 506056011 674741348 843426685 1012112022 1686853370 2024224044 2530280055 3373706740 5060560110 10121120220