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2102200102200 = 2335211318515167
BaseRepresentation
bin11110100101110100111…
…000111110110100111000
321102222010221100222001110
4132211310320332310320
5233420301211232300
64245423135520320
7304610323016502
oct36456470766470
97388127328043
102102200102200
117405a1176270
1229b5066890a0
1312330cb0cb23
1473a65bb6d72
1539a3a454550
hex1e974e3ed38

2102200102200 has 96 divisors (see below), whose sum is σ = 7109258549760. Its totient is φ = 509624265600.

The previous prime is 2102200102187. The next prime is 2102200102201. The reversal of 2102200102200 is 22010022012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102200102201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159250984 + ... + 159264183.

It is an arithmetic number, because the mean of its divisors is an integer number (74054776560).

Almost surely, 22102200102200 is an apocalyptic number.

2102200102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102200102200 is an abundant number, since it is smaller than the sum of its proper divisors (5007058447560).

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

2102200102200 is a wasteful number, since it uses less digits than its factorization.

2102200102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318515197 (or 318515188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2102200102200 its reverse (22010022012), we get a palindrome (2124210124212).

The spelling of 2102200102200 in words is "two trillion, one hundred two billion, two hundred million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 318515167 637030334 955545501 1274060668 1592575835 1911091002 2548121336 3185151670 3503666837 3822182004 4777727505 6370303340 7007333674 7644364008 7962879175 9555455010 10511000511 12740606680 14014667348 15925758350 17518334185 19110910020 21022001022 23888637525 28029334696 31851516700 35036668370 38221820040 42044002044 47777275050 52555002555 63703033400 70073336740 84088004088 87591670925 95554550100 105110005110 140146673480 175183341850 191109100200 210220010220 262775012775 350366683700 420440020440 525550025550 700733367400 1051100051100 2102200102200