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1000202211020 = 225571187146811
BaseRepresentation
bin11101000111000001011…
…00101000111011001100
310112121200210220210212002
432203200230220323030
5112341403231223040
62043253032331432
7132155641342355
oct16434054507314
93477623823762
101000202211020
11356202089041
12141a19843b78
137341b14832c
14365a5242d2c
151b03e3aaa15
hexe8e0b28ecc

1000202211020 has 48 divisors (see below), whose sum is σ = 2105272705536. Its totient is φ = 399158232000.

The previous prime is 1000202210983. The next prime is 1000202211049. The reversal of 1000202211020 is 201122020001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1000202210992 and 1000202211010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21343415 + ... + 21390225.

It is an arithmetic number, because the mean of its divisors is an integer number (43859848032).

Almost surely, 21000202211020 is an apocalyptic number.

1000202211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000202211020 is an abundant number, since it is smaller than the sum of its proper divisors (1105070494516).

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

1000202211020 is a wasteful number, since it uses less digits than its factorization.

1000202211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49262 (or 49260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1000202211020 its reverse (201122020001), we get a palindrome (1201324231021).

The spelling of 1000202211020 in words is "one trillion, two hundred two million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 571 1142 1871 2284 2855 3742 5710 7484 9355 11420 18710 37420 46811 93622 187244 234055 468110 936220 1068341 2136682 4273364 5341705 10683410 21366820 26729081 53458162 87583381 106916324 133645405 175166762 267290810 350333524 437916905 534581620 875833810 1751667620 50010110551 100020221102 200040442204 250050552755 500101105510 1000202211020