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1002211001010 = 232513829805241
BaseRepresentation
bin11101001010110000110…
…11100100001010110010
310112210212210210220200100
432211120123210022302
5112410012004013020
62044224231533230
7132256502644062
oct16453033441262
93483783726610
101002211001010
11357042a8975a
1214229a52a216
137367b37c56b
1436715d493a2
151b10a907a90
hexe9586e42b2

1002211001010 has 48 divisors (see below), whose sum is σ = 2605940265240. Its totient is φ = 267236609280.

The previous prime is 1002211001009. The next prime is 1002211001017. The reversal of 1002211001010 is 101001122001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 256279950081 + 745931050929 = 506241^2 + 863673^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002211000983 and 1002211001001.

It is not an unprimeable number, because it can be changed into a prime (1002211001017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 841990 + ... + 1647230.

Almost surely, 21002211001010 is an apocalyptic number.

1002211001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002211001010 is an abundant number, since it is smaller than the sum of its proper divisors (1603729264230).

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

1002211001010 is a wasteful number, since it uses less digits than its factorization.

1002211001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819083 (or 819080 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002211001010 its reverse (101001122001), we get a palindrome (1103212123011).

The spelling of 1002211001010 in words is "one trillion, two billion, two hundred eleven million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 13829 27658 41487 69145 82974 124461 138290 207435 248922 414870 622305 805241 1244610 1610482 2415723 4026205 4831446 7247169 8052410 12078615 14494338 24157230 36235845 72471690 11135677789 22271355578 33407033367 55678388945 66814066734 100221100101 111356777890 167035166835 200442200202 334070333670 501105500505 1002211001010