Search a number
-
+
2003021312220 = 22325234631044971
BaseRepresentation
bin11101001001011101010…
…111111011000011011100
321002111010222222102011200
4131021131113323003130
5230304141423442340
64132101510115500
7264466510143345
oct35113527730334
97074128872150
102003021312220
11702527348435
1228424794bb90
13116b6549b396
146cd37c430cc
1537183381330
hex1d25d5fb0dc

2003021312220 has 144 divisors (see below), whose sum is σ = 6353697272832. Its totient is φ = 509811603840.

The previous prime is 2003021312219. The next prime is 2003021312221. The reversal of 2003021312220 is 222131203002.

2003021312220 is a `hidden beast` number, since 200 + 30 + 213 + 1 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (2003021312219) and next prime (2003021312221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2003021312193 and 2003021312202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003021312221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1394335 + ... + 2439305.

It is an arithmetic number, because the mean of its divisors is an integer number (44122897728).

Almost surely, 22003021312220 is an apocalyptic number.

2003021312220 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 2003021312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176848636416).

2003021312220 is an abundant number, since it is smaller than the sum of its proper divisors (4350675960612).

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

2003021312220 is a wasteful number, since it uses less digits than its factorization.

2003021312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045472 (or 1045467 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2003021312220 its reverse (222131203002), we get a palindrome (2225152515222).

The spelling of 2003021312220 in words is "two trillion, three billion, twenty-one million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 463 690 828 926 1035 1380 1389 1852 2070 2315 2778 4140 4167 4630 5556 6945 8334 9260 10649 13890 16668 20835 21298 27780 31947 41670 42596 53245 63894 83340 95841 106490 127788 159735 191682 212980 319470 383364 479205 638940 958410 1044971 1916820 2089942 3134913 4179884 5224855 6269826 9404739 10449710 12539652 15674565 18809478 20899420 24034333 31349130 37618956 47023695 48068666 62698260 72102999 94047390 96137332 120171665 144205998 188094780 216308997 240343330 288411996 360514995 432617994 480686660 483821573 721029990 865235988 967643146 1081544985 1442059980 1451464719 1935286292 2163089970 2419107865 2902929438 4326179940 4354394157 4838215730 5805858876 7257323595 8708788314 9676431460 11127896179 14514647190 17417576628 21771970785 22255792358 29029294380 33383688537 43543941570 44511584716 55639480895 66767377074 87087883140 100151065611 111278961790 133534754148 166918442685 200302131222 222557923580 333836885370 400604262444 500755328055 667673770740 1001510656110 2003021312220