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1012011222100 = 2252431271853161
BaseRepresentation
bin11101011101000001001…
…00011100010001010100
310120202011210122201122211
432232200210130101110
5113040044333101400
62052524520403204
7133054403312164
oct16564044342124
93522153581584
101012011222100
11360211a5192a
12144174616504
137458085c258
1436da57465a4
151b4d0ea1dba
hexeba091c454

1012011222100 has 72 divisors (see below), whose sum is σ = 2264830819328. Its totient is φ = 392276908800.

The previous prime is 1012011222073. The next prime is 1012011222109. The reversal of 1012011222100 is 12221102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012011222109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380481 + ... + 1472680.

Almost surely, 21012011222100 is an apocalyptic number.

1012011222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012011222100 is an abundant number, since it is smaller than the sum of its proper divisors (1252819597228).

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

1012011222100 is a wasteful number, since it uses less digits than its factorization.

1012011222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853345 (or 1853338 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012011222100 its reverse (12221102101), we get a palindrome (1024232324201).

The spelling of 1012011222100 in words is "one trillion, twelve billion, eleven million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 127 172 215 254 430 508 635 860 1075 1270 2150 2540 3175 4300 5461 6350 10922 12700 21844 27305 54610 109220 136525 273050 546100 1853161 3706322 7412644 9265805 18531610 37063220 46329025 79685923 92658050 159371846 185316100 235351447 318743692 398429615 470702894 796859230 941405788 1176757235 1593718460 1992148075 2353514470 3984296150 4707028940 5883786175 7968592300 10120112221 11767572350 20240224442 23535144700 40480448884 50600561105 101201122210 202402244420 253002805525 506005611050 1012011222100