Search a number
-
+
22121320030000 = 245413859159617
BaseRepresentation
bin1010000011110100001010…
…11011000001111100110000
32220022202222211100102212021
411001322011123001330300
510344413430411430000
6115014221044241224
74442132634535222
oct501720533017460
986282884312767
1022121320030000
117059665501024
1225933153a0214
13c460543613b9
1456696b4aa412
1528565db6411a
hex141e856c1f30

22121320030000 has 100 divisors (see below), whose sum is σ = 53562127976280. Its totient is φ = 8847834112000.

The previous prime is 22121320029971. The next prime is 22121320030003. The reversal of 22121320030000 is 3002312122.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22121320030003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138510192 + ... + 138669808.

Almost surely, 222121320030000 is an apocalyptic number.

22121320030000 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 22121320030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26781063988140).

22121320030000 is an abundant number, since it is smaller than the sum of its proper divisors (31440807946280).

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

22121320030000 is a wasteful number, since it uses less digits than its factorization.

22121320030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173504 (or 173483 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22121320030000 its reverse (3002312122), we get a palindrome (22124322342122).

The spelling of 22121320030000 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred twenty million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 13859 27718 55436 69295 110872 138590 159617 221744 277180 319234 346475 554360 638468 692950 798085 1108720 1276936 1385900 1596170 1732375 2553872 2771800 3192340 3464750 3990425 5543600 6384680 6929500 7980850 8661875 12769360 13859000 15961700 17323750 19952125 27718000 31923400 34647500 39904250 63846800 69295000 79808500 99760625 138590000 159617000 199521250 319234000 399042500 798085000 1596170000 2212132003 4424264006 8848528012 11060660015 17697056024 22121320030 35394112048 44242640060 55303300075 88485280120 110606600150 176970560240 221213200300 276516500375 442426400600 553033000750 884852801200 1106066001500 1382582501875 2212132003000 2765165003750 4424264006000 5530330007500 11060660015000 22121320030000