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11322001020 = 2235111797101103
BaseRepresentation
bin10101000101101100…
…00000011001111100
31002020001100020121010
422202312000121330
5141141413013040
65111245435220
7550366264221
oct124266003174
932201306533
1011322001020
11488aa79a40
12223b86bb10
1310b58595b5
1479596d948
15463e96e80
hex2a2d8067c

11322001020 has 384 divisors, whose sum is σ = 37724424192. Its totient is φ = 2506752000.

The previous prime is 11322001001. The next prime is 11322001039. The reversal of 11322001020 is 2010022311.

It is an interprime number because it is at equal distance from previous prime (11322001001) and next prime (11322001039).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11322000987 and 11322001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109922289 + ... + 109922391.

It is an arithmetic number, because the mean of its divisors is an integer number (98240688).

Almost surely, 211322001020 is an apocalyptic number.

11322001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18862212096).

11322001020 is an abundant number, since it is smaller than the sum of its proper divisors (26402423172).

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

11322001020 is a wasteful number, since it uses less digits than its factorization.

11322001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11322001020 its reverse (2010022311), we get a palindrome (13332023331).

The spelling of 11322001020 in words is "eleven billion, three hundred twenty-two million, one thousand, twenty".