Search a number
-
+
10220200202112 = 27348754651139
BaseRepresentation
bin1001010010111001001101…
…1001110000111110000000
31100012001010022202112020120
42110232103121300332000
52314421432222431422
633423032315340240
72103246042233655
oct224562331607600
940161108675216
1010220200202112
1132903a963502a
1211908b0451680
135919b747a5c4
14274935d2bc2c
1512acb69cc45c
hex94b93670f80

10220200202112 has 64 divisors (see below), whose sum is σ = 27203151446400. Its totient is φ = 3399737992704.

The previous prime is 10220200202021. The next prime is 10220200202123. The reversal of 10220200202112 is 21120200202201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10220200202091 and 10220200202100.

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, 27138562 + ... + 27512577.

It is an arithmetic number, because the mean of its divisors is an integer number (425049241350).

Almost surely, 210220200202112 is an apocalyptic number.

10220200202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220200202112 is an abundant number, since it is smaller than the sum of its proper divisors (16982951244288).

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

10220200202112 is an equidigital number, since it uses as much as digits as its factorization.

10220200202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54651643 (or 54651631 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10220200202112 its reverse (21120200202201), we get a palindrome (31340400404313).

The spelling of 10220200202112 in words is "ten trillion, two hundred twenty billion, two hundred million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 487 974 1461 1948 2922 3896 5844 7792 11688 15584 23376 31168 46752 62336 93504 187008 54651139 109302278 163953417 218604556 327906834 437209112 655813668 874418224 1311627336 1748836448 2623254672 3497672896 5246509344 6995345792 10493018688 20986037376 26615104693 53230209386 79845314079 106460418772 159690628158 212920837544 319381256316 425841675088 638762512632 851683350176 1277525025264 1703366700352 2555050050528 3406733400704 5110100101056 10220200202112