Search a number
-
+
1022001000200 = 235229315684099
BaseRepresentation
bin11101101111101000000…
…00011010111100001000
310121200222000012000222022
432313310000122330020
5113221024224001300
62101300100144012
7133560065111525
oct16676400327410
93550860160868
101022001000200
11364478a14a94
121460a2098008
13754b33aab5b
14376723a814c
151b8b7ee1285
hexedf401af08

1022001000200 has 96 divisors (see below), whose sum is σ = 2537382240000. Its totient is φ = 381971385600.

The previous prime is 1022001000193. The next prime is 1022001000211. The reversal of 1022001000200 is 20001002201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2662250 + ... + 3021849.

It is an arithmetic number, because the mean of its divisors is an integer number (26431065000).

Almost surely, 21022001000200 is an apocalyptic number.

1022001000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022001000200 is an abundant number, since it is smaller than the sum of its proper divisors (1515381239800).

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

1022001000200 is a wasteful number, since it uses less digits than its factorization.

1022001000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684175 (or 5684166 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1022001000200 its reverse (20001002201), we get a palindrome (1042002002401).

The spelling of 1022001000200 in words is "one trillion, twenty-two billion, one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 29 31 40 50 58 62 100 116 124 145 155 200 232 248 290 310 580 620 725 775 899 1160 1240 1450 1550 1798 2900 3100 3596 4495 5800 6200 7192 8990 17980 22475 35960 44950 89900 179800 5684099 11368198 22736396 28420495 45472792 56840990 113681980 142102475 164838871 176207069 227363960 284204950 329677742 352414138 568409900 659355484 704828276 824194355 881035345 1136819800 1318710968 1409656552 1648388710 1762070690 3296777420 3524141380 4120971775 4405176725 5110005001 6593554840 7048282760 8241943550 8810353450 10220010002 16483887100 17620706900 20440020004 25550025005 32967774200 35241413800 40880040008 51100050010 102200100020 127750125025 204400200040 255500250050 511000500100 1022001000200