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10213121112120 = 2332528369780867
BaseRepresentation
bin1001010010011110110101…
…1101001011100000111000
31100011100211222012111101100
42110213231131023200320
52314312433001041440
633415502034051400
72102605443041433
oct224475535134070
940140758174340
1010213121112120
1132883a6680a33
12118b455719b60
13591129972564
14274463aa481a
1512aa0028e230
hex949ed74b838

10213121112120 has 48 divisors (see below), whose sum is σ = 33192643615560. Its totient is φ = 2723498963136.

The previous prime is 10213121112067. The next prime is 10213121112127. The reversal of 10213121112120 is 2121112131201.

It is a happy number.

10213121112120 is a `hidden beast` number, since 10 + 21 + 312 + 111 + 212 + 0 = 666.

10213121112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102131211121202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10213121112093 and 10213121112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213121112127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14184890074 + ... + 14184890793.

Almost surely, 210213121112120 is an apocalyptic number.

10213121112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213121112120 is an abundant number, since it is smaller than the sum of its proper divisors (22979522503440).

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

10213121112120 is a wasteful number, since it uses less digits than its factorization.

10213121112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28369780884 (or 28369780877 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10213121112120 its reverse (2121112131201), we get a palindrome (12334233243321).

The spelling of 10213121112120 in words is "ten trillion, two hundred thirteen billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28369780867 56739561734 85109342601 113479123468 141848904335 170218685202 226958246936 255328027803 283697808670 340437370404 425546713005 510656055606 567395617340 680874740808 851093426010 1021312111212 1134791234680 1276640139015 1702186852020 2042624222424 2553280278030 3404373704040 5106560556060 10213121112120