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1000211220100 = 225217401574801
BaseRepresentation
bin11101000111000010011…
…11000000011010000100
310112121201102212111222201
432203201033000122010
5112341413033020400
62043253553404244
7132156111044041
oct16434117003204
93477642774881
101000211220100
11356207181764
12141a20869684
137341cc80b51
14365a650a1c8
151b04008a06a
hexe8e13c0684

1000211220100 has 36 divisors (see below), whose sum is σ = 2170586855668. Its totient is φ = 400060800000.

The previous prime is 1000211220061. The next prime is 1000211220101. The reversal of 1000211220100 is 10221120001.

It can be written as a sum of positive squares in 6 ways, for example, as 35212356 + 1000176007744 = 5934^2 + 1000088^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1000211220101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1452700 + ... + 2027500.

Almost surely, 21000211220100 is an apocalyptic number.

1000211220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000211220100 is an abundant number, since it is smaller than the sum of its proper divisors (1170375635568).

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

1000211220100 is a wasteful number, since it uses less digits than its factorization.

1000211220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592216 (or 592209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000211220100 its reverse (10221120001), we get a palindrome (1010432340101).

The spelling of 1000211220100 in words is "one trillion, two hundred eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 17401 34802 69604 87005 174010 348020 435025 574801 870050 1149602 1740100 2299204 2874005 5748010 11496020 14370025 28740050 57480100 10002112201 20004224402 40008448804 50010561005 100021122010 200042244020 250052805025 500105610050 1000211220100