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1010002100022 = 233145112890243
BaseRepresentation
bin11101011001010001101…
…00001111111100110110
310120112222210010202022000
432230220310033330312
5113021441014200042
62051553310120130
7132653536125336
oct16545064177466
93515883122260
101010002100022
1135a380944763
121438b37b0046
137432053cb16
1436c549950c6
151b4148db74c
hexeb28d0ff36

1010002100022 has 32 divisors (see below), whose sum is σ = 2245996114560. Its totient is φ = 336435316200.

The previous prime is 1010002099973. The next prime is 1010002100027. The reversal of 1010002100022 is 2200012000101.

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 = 1010002099977 and 1010002100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010002100027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6366768 + ... + 6523475.

It is an arithmetic number, because the mean of its divisors is an integer number (70187378580).

Almost surely, 21010002100022 is an apocalyptic number.

1010002100022 is an abundant number, since it is smaller than the sum of its proper divisors (1235994014538).

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

1010002100022 is a wasteful number, since it uses less digits than its factorization.

1010002100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12891705 (or 12891699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010002100022 its reverse (2200012000101), we get a palindrome (3210014100123).

It can be divided in two parts, 101000 and 2100022, that added together give a palindrome (2201022).

The spelling of 1010002100022 in words is "one trillion, ten billion, two million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 1451 2902 4353 8706 13059 26118 39177 78354 12890243 25780486 38670729 77341458 116012187 232024374 348036561 696073122 18703742593 37407485186 56111227779 112222455558 168333683337 336667366674 505001050011 1010002100022