Search a number
-
+
2002000102200 = 2332527158888897
BaseRepresentation
bin11101001000100000100…
…000010100001100111000
321002101111211101120101100
4131020200200110030320
5230300044011232300
64131412310051400
7264432300043560
oct35104040241470
97071454346340
102002000102200
1170205295820a
12284001949b60
13116a31a460b7
146cc7c373da0
15371238b0700
hex1d220814338

2002000102200 has 144 divisors (see below), whose sum is σ = 7683867107280. Its totient is φ = 457600020480.

The previous prime is 2002000102183. The next prime is 2002000102211. The reversal of 2002000102200 is 22010002002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79431849 + ... + 79457048.

It is an arithmetic number, because the mean of its divisors is an integer number (53360188245).

Almost surely, 22002000102200 is an apocalyptic number.

2002000102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002000102200 is an abundant number, since it is smaller than the sum of its proper divisors (5681867005080).

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

2002000102200 is a wasteful number, since it uses less digits than its factorization.

2002000102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158888926 (or 158888914 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2002000102200 its reverse (22010002002), we get a palindrome (2024010104202).

The spelling of 2002000102200 in words is "two trillion, two billion, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 158888897 317777794 476666691 635555588 794444485 953333382 1112222279 1271111176 1430000073 1588888970 1906666764 2224444558 2383333455 2860000146 3177777940 3336666837 3813333528 3972222425 4448889116 4766666910 5561111395 5720000292 6355555880 6673333674 7150000365 7944444850 8897778232 9533333820 10010000511 11122222790 11440000584 11916667275 13346667348 14300000730 15888889700 16683334185 19066667640 20020001022 22244445580 23833334550 26693334696 27805556975 28600001460 31777779400 33366668370 35750001825 40040002044 44488891160 47666669100 50050002555 55611113950 57200002920 66733336740 71500003650 80080004088 83416670925 95333338200 100100005110 111222227900 133466673480 143000007300 166833341850 200200010220 222444455800 250250012775 286000014600 333666683700 400400020440 500500025550 667333367400 1001000051100 2002000102200