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1012021220106 = 232135381601453
BaseRepresentation
bin11101011101000010010…
…10100101001100001010
310120202012111110200100100
432232201022211030022
5113040104413020411
62052525514550230
7133054554302661
oct16564112451412
93522174420310
101012021220106
11360217660546
12144177a38376
137458294cc30
1436da6bc9dd8
151b4d1cc9456
hexeba12a530a

1012021220106 has 48 divisors (see below), whose sum is σ = 2405937269736. Its totient is φ = 305515836288.

The previous prime is 1012021220087. The next prime is 1012021220131. The reversal of 1012021220106 is 6010221202101.

It can be written as a sum of positive squares in 4 ways, for example, as 818853059025 + 193168161081 = 904905^2 + 439509^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40788325 + ... + 40813128.

Almost surely, 21012021220106 is an apocalyptic number.

1012021220106 is an abundant number, since it is smaller than the sum of its proper divisors (1393916049630).

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

1012021220106 is a wasteful number, since it uses less digits than its factorization.

1012021220106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81601527 (or 81601524 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1012021220106 its reverse (6010221202101), we get a palindrome (7022242422207).

The spelling of 1012021220106 in words is "one trillion, twelve billion, twenty-one million, two hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 4134 6201 12402 81601453 163202906 244804359 489608718 734413077 1060818889 1468826154 2121637778 3182456667 4324877009 6364913334 8649754018 9547370001 12974631027 19094740002 25949262054 38923893081 56223401117 77847786162 112446802234 168670203351 337340406702 506010610053 1012021220106