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1010022210001 = 72910160181967
BaseRepresentation
bin11101011001010100000…
…00111101100111010001
310120120001011222110000001
432230222000331213101
5113022011141210001
62051555305130001
7132654202063120
oct16545200754721
93516034873001
101010022210001
1135a39122a682
121438ba489901
137432476130c
1436c5750bab7
151b416560001
hexeb2a03d9d1

1010022210001 has 32 divisors (see below), whose sum is σ = 1207959137280. Its totient is φ = 826217280000.

The previous prime is 1010022209983. The next prime is 1010022210017. The reversal of 1010022210001 is 1000122200101.

1010022210001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010022210001 - 217 = 1010022078929 is a prime.

It is a super-5 number, since 5×10100222100015 (a number of 61 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1010022210001.

It is not an unprimeable number, because it can be changed into a prime (1010022210401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12281320 + ... + 12363286.

It is an arithmetic number, because the mean of its divisors is an integer number (37748723040).

Almost surely, 21010022210001 is an apocalyptic number.

It is an amenable number.

1010022210001 is a deficient number, since it is larger than the sum of its proper divisors (197936927279).

1010022210001 is a wasteful number, since it uses less digits than its factorization.

1010022210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82705.

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

Adding to 1010022210001 its reverse (1000122200101), we get a palindrome (2010144410102).

The spelling of 1010022210001 in words is "one trillion, ten billion, twenty-two million, two hundred ten thousand, one".

Divisors: 1 7 29 101 203 601 707 2929 4207 17429 20503 60701 81967 122003 424907 573769 1760329 2377043 8278667 12322303 16639301 49262167 57950669 240081343 344835169 1428602843 1680569401 4975478867 10000219901 34828352069 144288887143 1010022210001