Search a number
-
+
21350154005400 = 23352113234871819
BaseRepresentation
bin1001101101010111110000…
…10110000110101110011000
32210121001110221102102012110
410312223320112012232120
510244300103411133100
6113224043024112320
74332332501510343
oct466537026065630
983531427372173
1021350154005400
11689160537a870
1224899774656a0
13bbb40701cc3c
1453b4d278545a
15270576e22250
hex136af8586b98

21350154005400 has 96 divisors (see below), whose sum is σ = 72202339022400. Its totient is φ = 5175794908800.

The previous prime is 21350154005329. The next prime is 21350154005423. The reversal of 21350154005400 is 450045105312.

It is a super-3 number, since 3×213501540054003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1617429310 + ... + 1617442509.

It is an arithmetic number, because the mean of its divisors is an integer number (752107698150).

Almost surely, 221350154005400 is an apocalyptic number.

21350154005400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21350154005400 is an abundant number, since it is smaller than the sum of its proper divisors (50852185017000).

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

21350154005400 is a wasteful number, since it uses less digits than its factorization.

21350154005400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234871849 (or 3234871840 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 21350154005400 in words is "twenty-one trillion, three hundred fifty billion, one hundred fifty-four million, five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 3234871819 6469743638 9704615457 12939487276 16174359095 19409230914 25878974552 32348718190 35583590009 38818461828 48523077285 64697436380 71167180018 77636923656 80871795475 97046154570 106750770027 129394872760 142334360036 161743590950 177917950045 194092309140 213501540054 242615386425 284668720072 323487181900 355835900090 388184618280 427003080108 485230772850 533753850135 646974363800 711671800180 854006160216 889589750225 970461545700 1067507700270 1423343600360 1779179500450 1940923091400 2135015400540 2668769250675 3558359000900 4270030801080 5337538501350 7116718001800 10675077002700 21350154005400