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1012112222020 = 2251712772331089
BaseRepresentation
bin11101011101001101001…
…01101110011101000100
310120202102211201001111121
432232212211232131010
5113040301212101040
62052542525243324
7133060040640454
oct16564645563504
93522384631447
101012112222020
11360263a66639
121441a2403544
1374598762c13
1436db4d17d64
151b4d9ca2c4a
hexeba696e744

1012112222020 has 48 divisors (see below), whose sum is σ = 2252224563120. Its totient is φ = 380731940864.

The previous prime is 1012112221973. The next prime is 1012112222027. The reversal of 1012112222020 is 202222112101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7759495744 + 1004352726276 = 88088^2 + 1002174^2 .

It is a super-2 number, since 2×10121122220202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012112221985 and 1012112222003.

It is not an unprimeable number, because it can be changed into a prime (1012112222027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 731365 + ... + 1599724.

It is an arithmetic number, because the mean of its divisors is an integer number (46921345065).

Almost surely, 21012112222020 is an apocalyptic number.

1012112222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012112222020 is an abundant number, since it is smaller than the sum of its proper divisors (1240112341100).

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

1012112222020 is a wasteful number, since it uses less digits than its factorization.

1012112222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332392 (or 2332390 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1012112222020 its reverse (202222112101), we get a palindrome (1214334334121).

The spelling of 1012112222020 in words is "one trillion, twelve billion, one hundred twelve million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1277 2554 5108 6385 12770 21709 25540 43418 86836 108545 217090 434180 2331089 4662178 9324356 11655445 23310890 39628513 46621780 79257026 158514052 198142565 396285130 792570260 2976800653 5953601306 11907202612 14884003265 29768006530 50605611101 59536013060 101211222202 202422444404 253028055505 506056111010 1012112222020