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21352101000 = 2335364311069
BaseRepresentation
bin10011111000101011…
…110011010010001000
32001010001202010010120
4103320223303102020
5322212114213000
613450425343240
71354060602216
oct237053632210
961101663116
1021352101000
11906778256a
12417a937b20
1320238553b9
141067ac9cb6
1584e7ed6a0
hex4f8af3488

21352101000 has 128 divisors (see below), whose sum is σ = 66728188800. Its totient is φ = 5684524800.

The previous prime is 21352100999. The next prime is 21352101011. The reversal of 21352101000 is 10125312.

It is a super-2 number, since 2×213521010002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1923466 + ... + 1934534.

It is an arithmetic number, because the mean of its divisors is an integer number (521313975).

Almost surely, 221352101000 is an apocalyptic number.

21352101000 is a gapful number since it is divisible by the number (20) 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 21352101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33364094400).

21352101000 is an abundant number, since it is smaller than the sum of its proper divisors (45376087800).

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

21352101000 is a wasteful number, since it uses less digits than its factorization.

21352101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11736 (or 11722 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 21352101000 its reverse (10125312), we get a palindrome (21362226312).

The spelling of 21352101000 in words is "twenty-one billion, three hundred fifty-two million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 643 750 1000 1286 1500 1929 2572 3000 3215 3858 5144 6430 7716 9645 11069 12860 15432 16075 19290 22138 25720 32150 33207 38580 44276 48225 55345 64300 66414 77160 80375 88552 96450 110690 128600 132828 160750 166035 192900 221380 241125 265656 276725 321500 332070 385800 442760 482250 553450 643000 664140 830175 964500 1106900 1328280 1383625 1660350 1929000 2213800 2767250 3320700 4150875 5534500 6641400 7117367 8301750 11069000 14234734 16603500 21352101 28469468 33207000 35586835 42704202 56938936 71173670 85408404 106760505 142347340 170816808 177934175 213521010 284694680 355868350 427042020 533802525 711736700 854084040 889670875 1067605050 1423473400 1779341750 2135210100 2669012625 3558683500 4270420200 5338025250 7117367000 10676050500 21352101000