Search a number
-
+
2102202121200 = 243528321106447
BaseRepresentation
bin11110100101110101000…
…000101011101111110000
321102222011002011112121020
4132211311000223233300
5233420302220334300
64245423251055440
7304610346126006
oct36456500535760
97388132145536
102102202121200
117405a2325165
1229b5072a1580
13123310368abc
1473a66180a76
1539a3a7028a0
hex1e97502bbf0

2102202121200 has 120 divisors (see below), whose sum is σ = 6815187633408. Its totient is φ = 553833143040.

The previous prime is 2102202121171. The next prime is 2102202121213. The reversal of 2102202121200 is 21212022012.

It is a tau number, because it is divible by the number of its divisors (120).

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 2102202121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10453624 + ... + 10652823.

Almost surely, 22102202121200 is an apocalyptic number.

2102202121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102202121200 is an abundant number, since it is smaller than the sum of its proper divisors (4712985512208).

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

2102202121200 is a wasteful number, since it uses less digits than its factorization.

2102202121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21106551 (or 21106540 counting only the distinct ones).

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

Adding to 2102202121200 its reverse (21212022012), we get a palindrome (2123414143212).

The spelling of 2102202121200 in words is "two trillion, one hundred two billion, two hundred two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 83 100 120 150 166 200 240 249 300 332 400 415 498 600 664 830 996 1200 1245 1328 1660 1992 2075 2490 3320 3984 4150 4980 6225 6640 8300 9960 12450 16600 19920 24900 33200 49800 99600 21106447 42212894 63319341 84425788 105532235 126638682 168851576 211064470 253277364 316596705 337703152 422128940 506554728 527661175 633193410 844257880 1013109456 1055322350 1266386820 1582983525 1688515760 1751835101 2110644700 2532773640 3165967050 3503670202 4221289400 5065547280 5255505303 6331934100 7007340404 8442578800 8759175505 10511010606 12663868200 14014680808 17518351010 21022021212 25327736400 26277526515 28029361616 35036702020 42044042424 43795877525 52555053030 70073404040 84088084848 87591755050 105110106060 131387632575 140146808080 175183510100 210220212120 262775265150 350367020200 420440424240 525550530300 700734040400 1051101060600 2102202121200