Search a number
-
+
1022200120110 = 2351317154177997
BaseRepresentation
bin11101101111111111110…
…00000000001100101110
310121201110212212101010210
432313333320000030232
5113221431212320420
62101331532043250
7133565033442201
oct16677770001456
93551425771123
101022200120110
113645703567a4
12146138903526
13755157176a0
14376909db938
151b8ca7249e0
hexedffe0032e

1022200120110 has 64 divisors (see below), whose sum is σ = 2797405595712. Its totient is φ = 236817401856.

The previous prime is 1022200120091. The next prime is 1022200120111. The reversal of 1022200120110 is 110210022201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022200120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77082369 + ... + 77095628.

It is an arithmetic number, because the mean of its divisors is an integer number (43709462433).

Almost surely, 21022200120110 is an apocalyptic number.

1022200120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022200120110 is an abundant number, since it is smaller than the sum of its proper divisors (1775205475602).

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

1022200120110 is a wasteful number, since it uses less digits than its factorization.

1022200120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154178037.

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

Adding to 1022200120110 its reverse (110210022201), we get a palindrome (1132410142311).

The spelling of 1022200120110 in words is "one trillion, twenty-two billion, two hundred million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 2210 3315 6630 154177997 308355994 462533991 770889985 925067982 1541779970 2004313961 2312669955 2621025949 4008627922 4625339910 5242051898 6012941883 7863077847 10021569805 12025883766 13105129745 15726155694 20043139610 26210259490 30064709415 34073337337 39315389235 60129418830 68146674674 78630778470 102220012011 170366686685 204440024022 340733373370 511100060055 1022200120110