Search a number
-
+
10220212111021 = 1127110111778631
BaseRepresentation
bin1001010010111001010000…
…0111001100011010101101
31100012001011011011120012021
42110232110013030122231
52314421443300023041
633423033422510141
72103246245403553
oct224562407143255
940161134146167
1010220212111021
113290405329400
1211908b4435351
135919b9a89cb3
1427493774bbd3
1512acb7a80cd1
hex94b941cc6ad

10220212111021 has 24 divisors (see below), whose sum is σ = 11504802363264. Its totient is φ = 9069545100000.

The previous prime is 10220212110989. The next prime is 10220212111027. The reversal of 10220212111021 is 12011121202201.

It is not a de Polignac number, because 10220212111021 - 25 = 10220212110989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220212110986 and 10220212111004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220212111027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5021625 + ... + 6757006.

It is an arithmetic number, because the mean of its divisors is an integer number (479366765136).

Almost surely, 210220212111021 is an apocalyptic number.

10220212111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220212111021 is a deficient number, since it is larger than the sum of its proper divisors (1284590252243).

10220212111021 is a wasteful number, since it uses less digits than its factorization.

10220212111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11778825 (or 11778814 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10220212111021 its reverse (12011121202201), we get a palindrome (22231333313222).

The spelling of 10220212111021 in words is "ten trillion, two hundred twenty billion, two hundred twelve million, one hundred eleven thousand, twenty-one".

Divisors: 1 11 71 101 121 781 1111 7171 8591 12221 78881 867691 11778631 129564941 836282801 1189641731 1425214351 9199110811 13086059041 84464562901 101190218921 143946649451 929110191911 10220212111021