Search a number
-
+
21300032001000 = 233537439555869
BaseRepresentation
bin1001101011111010011001…
…10101110101001111101000
32210102021002212000210000010
410311331030311311033220
510242434431143013000
6113145033303411520
74325606435504544
oct465751465651750
983367085023003
1021300032001000
116872324857035
122480109753ba0
13bb6779c03b7c
14538cd9b76a24
1526e0e19ccd50
hex135f4cd753e8

21300032001000 has 128 divisors (see below), whose sum is σ = 66545549740800. Its totient is φ = 5672363244800.

The previous prime is 21300032000999. The next prime is 21300032001007. The reversal of 21300032001000 is 10023000312.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (21300032001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2548935 + ... + 7006934.

It is an arithmetic number, because the mean of its divisors is an integer number (519887107350).

Almost surely, 221300032001000 is an apocalyptic number.

21300032001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300032001000 is an abundant number, since it is smaller than the sum of its proper divisors (45245517739800).

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

21300032001000 is a wasteful number, since it uses less digits than its factorization.

21300032001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9556636 (or 9556622 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 21300032001000 its reverse (10023000312), we get a palindrome (21310055001312).

The spelling of 21300032001000 in words is "twenty-one trillion, three hundred billion, thirty-two million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 743 750 1000 1486 1500 2229 2972 3000 3715 4458 5944 7430 8916 11145 14860 17832 18575 22290 29720 37150 44580 55725 74300 89160 92875 111450 148600 185750 222900 278625 371500 445800 557250 743000 1114500 2229000 9555869 19111738 28667607 38223476 47779345 57335214 76446952 95558690 114670428 143338035 191117380 229340856 238896725 286676070 382234760 477793450 573352140 716690175 955586900 1146704280 1194483625 1433380350 1911173800 2388967250 2866760700 3583450875 4777934500 5733521400 7100010667 7166901750 9555869000 14200021334 14333803500 21300032001 28400042668 28667607000 35500053335 42600064002 56800085336 71000106670 85200128004 106500160005 142000213340 170400256008 177500266675 213000320010 284000426680 355000533350 426000640020 532500800025 710001066700 852001280040 887501333375 1065001600050 1420002133400 1775002666750 2130003200100 2662504000125 3550005333500 4260006400200 5325008000250 7100010667000 10650016000500 21300032001000