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1012022210020 = 225972137244109
BaseRepresentation
bin11101011101000010011…
…10010110110111100100
310120202012120022222020211
432232201032112313210
5113040110141210040
62052525552105204
7133054565565013
oct16564116266744
93522176288224
101012022210020
11360218177258
12144178235204
1374582c08693
1436da6da6a7a
151b4d1e228ea
hexeba1396de4

1012022210020 has 48 divisors (see below), whose sum is σ = 2148169952880. Its totient is φ = 400446480384.

The previous prime is 1012022210011. The next prime is 1012022210021. The reversal of 1012022210020 is 200122202101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 59528192256 + 952494017764 = 243984^2 + 975958^2 .

It is not an unprimeable number, because it can be changed into a prime (1012022210021) 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, 4023726 + ... + 4267834.

It is an arithmetic number, because the mean of its divisors is an integer number (44753540685).

Almost surely, 21012022210020 is an apocalyptic number.

1012022210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012022210020 is an abundant number, since it is smaller than the sum of its proper divisors (1136147742860).

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

1012022210020 is a wasteful number, since it uses less digits than its factorization.

1012022210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246352 (or 246350 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1012022210020 its reverse (200122202101), we get a palindrome (1212144412121).

The spelling of 1012022210020 in words is "one trillion, twelve billion, twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 2137 4274 8548 10685 21370 42740 207289 244109 414578 488218 829156 976436 1036445 1220545 2072890 2441090 4145780 4882180 23678573 47357146 94714292 118392865 236785730 473571460 521660933 1043321866 2086643732 2608304665 5216609330 10433218660 50601110501 101202221002 202404442004 253005552505 506011105010 1012022210020