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1002101022 = 2321313731259
BaseRepresentation
bin111011101110101…
…101100100011110
32120211122000011200
4323232231210132
54023014213042
6243234300330
733555501216
oct7356554436
92524560150
101002101022
1147472936a
1223b7276a6
1312c7c45b0
1497137246
155ce98c4c
hex3bbad91e

1002101022 has 48 divisors (see below), whose sum is σ = 2355378480. Its totient is φ = 306078336.

The previous prime is 1002101011. The next prime is 1002101041. The reversal of 1002101022 is 2201012001.

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 = 1002100995 and 1002101013.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16429 + ... + 47687.

It is an arithmetic number, because the mean of its divisors is an integer number (49070385).

Almost surely, 21002101022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177689240).

1002101022 is an abundant number, since it is smaller than the sum of its proper divisors (1353277458).

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

1002101022 is a wasteful number, since it uses less digits than its factorization.

1002101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31417 (or 31414 counting only the distinct ones).

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

The square root of 1002101022 is about 31655.9792456338. The cubic root of 1002101022 is about 1000.6998507613.

Adding to 1002101022 its reverse (2201012001), we get a palindrome (3203113023).

The spelling of 1002101022 in words is "one billion, two million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 137 234 274 411 822 1233 1781 2466 3562 5343 10686 16029 31259 32058 62518 93777 187554 281331 406367 562662 812734 1219101 2438202 3657303 4282483 7314606 8564966 12847449 25694898 38542347 55672279 77084694 111344558 167016837 334033674 501050511 1002101022