Search a number
-
+
22101220200120 = 2335251733772251
BaseRepresentation
bin1010000011001110101110…
…11000010000111010111000
32220020212010000222021202120
411001213113120100322320
510344101244332400440
6115001054351201240
74440521561025135
oct501472730207270
986225100867676
1022101220200120
117051090697376
12258b445b16220
13c441a00a2539
145659c1c3958c
15284d84278dd0
hex1419d7610eb8

22101220200120 has 64 divisors (see below), whose sum is σ = 66567818701440. Its totient is φ = 5870178000000.

The previous prime is 22101220200119. The next prime is 22101220200127. The reversal of 22101220200120 is 2100202210122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22101220200120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101220200127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366856006 + ... + 366916245.

It is an arithmetic number, because the mean of its divisors is an integer number (1040122167210).

Almost surely, 222101220200120 is an apocalyptic number.

22101220200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101220200120 is an abundant number, since it is smaller than the sum of its proper divisors (44466598501320).

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

22101220200120 is a wasteful number, since it uses less digits than its factorization.

22101220200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733772516 (or 733772512 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22101220200120 its reverse (2100202210122), we get a palindrome (24201422410242).

The spelling of 22101220200120 in words is "twenty-two trillion, one hundred one billion, two hundred twenty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 502 753 1004 1255 1506 2008 2510 3012 3765 5020 6024 7530 10040 15060 30120 733772251 1467544502 2201316753 2935089004 3668861255 4402633506 5870178008 7337722510 8805267012 11006583765 14675445020 17610534024 22013167530 29350890040 44026335060 88052670120 184176835001 368353670002 552530505003 736707340004 920884175005 1105061010006 1473414680008 1841768350010 2210122020012 2762652525015 3683536700020 4420244040024 5525305050030 7367073400040 11050610100060 22101220200120