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2211203231120 = 245132973315757
BaseRepresentation
bin100000001011010101111…
…110111010110110010000
321211101111112222122101102
4200023111332322312100
5242212021011343440
64411451315123532
7315516451230332
oct40132576726620
97741445878342
102211203231120
1178284763a384
122b86675a35a8
13130691926a90
1479046825452
153c7b9c87b15
hex202d5fbad90

2211203231120 has 80 divisors (see below), whose sum is σ = 5727427014960. Its totient is φ = 788291008512.

The previous prime is 2211203231101. The next prime is 2211203231123. The reversal of 2211203231120 is 211323021122.

2211203231120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 747713007616 + 1463490223504 = 864704^2 + 1209748^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2211203231092 and 2211203231101.

It is not an unprimeable number, because it can be changed into a prime (2211203231123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36627719 + ... + 36688038.

It is an arithmetic number, because the mean of its divisors is an integer number (71592837687).

Almost surely, 22211203231120 is an apocalyptic number.

2211203231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211203231120 is an abundant number, since it is smaller than the sum of its proper divisors (3516223783840).

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

2211203231120 is a wasteful number, since it uses less digits than its factorization.

2211203231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73315812 (or 73315806 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2211203231120 its reverse (211323021122), we get a palindrome (2422526252242).

The spelling of 2211203231120 in words is "two trillion, two hundred eleven billion, two hundred three million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3770 6032 7540 15080 30160 73315757 146631514 293263028 366578785 586526056 733157570 953104841 1173052112 1466315140 1906209682 2126156953 2932630280 3812419364 4252313906 4765524205 5865260560 7624838728 8504627812 9531048410 10630784765 15249677456 17009255624 19062096820 21261569530 27640040389 34018511248 38124193640 42523139060 55280080778 76248387280 85046278120 110560161556 138200201945 170092556240 221120323112 276400403890 442240646224 552800807780 1105601615560 2211203231120