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10120212020 = 2254730735069
BaseRepresentation
bin10010110110011011…
…00010111000110100
3222010021222001000102
421123031202320310
5131211233241040
64352115133232
7505534245212
oct113315427064
928107861012
1010120212020
114323661096
121b652a4218
13c53889a49
146c00d5cb2
153e3706515
hex25b362e34

10120212020 has 48 divisors (see below), whose sum is σ = 21775944960. Its totient is φ = 3948937344.

The previous prime is 10120212001. The next prime is 10120212031. The reversal of 10120212020 is 2021202101.

It is a happy number.

10120212020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10120211992 and 10120212010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271046 + ... + 306114.

It is an arithmetic number, because the mean of its divisors is an integer number (453665520).

Almost surely, 210120212020 is an apocalyptic number.

10120212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120212020 is an abundant number, since it is smaller than the sum of its proper divisors (11655732940).

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

10120212020 is a wasteful number, since it uses less digits than its factorization.

10120212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35432 (or 35430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10120212020 its reverse (2021202101), we get a palindrome (12141414121).

The spelling of 10120212020 in words is "ten billion, one hundred twenty million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 307 470 614 940 1228 1535 3070 6140 14429 28858 35069 57716 70138 72145 140276 144290 175345 288580 350690 701380 1648243 3296486 6592972 8241215 10766183 16482430 21532366 32964860 43064732 53830915 107661830 215323660 506010601 1012021202 2024042404 2530053005 5060106010 10120212020