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10120221120 = 263510541897
BaseRepresentation
bin10010110110011011…
…00101000111000000
3222010021222111111110
421123031211013000
5131211234033440
64352115243320
7505534313562
oct113315450700
928107874443
1010120221120
114323667a09
121b652a9540
13c53890c29
146c00d9332
153e3709080
hex25b3651c0

10120221120 has 56 divisors (see below), whose sum is σ = 32131705104. Its totient is φ = 2698725376.

The previous prime is 10120221113. The next prime is 10120221131. The reversal of 10120221120 is 2112202101.

It is a super-4 number, since 4×101202211204 (a number of 41 digits) contains 4444 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 = 10120221096 and 10120221105.

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, 5269989 + ... + 5271908.

Almost surely, 210120221120 is an apocalyptic number.

10120221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120221120 is an abundant number, since it is smaller than the sum of its proper divisors (22011483984).

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

10120221120 is a wasteful number, since it uses less digits than its factorization.

10120221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10541917 (or 10541907 counting only the distinct ones).

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

Adding to 10120221120 its reverse (2112202101), we get a palindrome (12232423221).

The spelling of 10120221120 in words is "ten billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 10541897 21083794 31625691 42167588 52709485 63251382 84335176 105418970 126502764 158128455 168670352 210837940 253005528 316256910 337340704 421675880 506011056 632513820 674681408 843351760 1012022112 1265027640 1686703520 2024044224 2530055280 3373407040 5060110560 10120221120