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133220000000 = 28576661
BaseRepresentation
bin111110000010010000…
…1111110000100000000
3110201212022221012020002
41330010201332010000
54140313310000000
6141111142535132
712424213213313
oct1740441760400
9421768835202
10133220000000
115155324285a
122199b1374a8
13c741026789
14663adbc97a
1536ea8b28d5
hex1f0487e100

133220000000 has 144 divisors (see below), whose sum is σ = 332448562992. Its totient is φ = 53280000000.

The previous prime is 133219999963. The next prime is 133220000033. The reversal of 133220000000 is 22331.

It can be written as a sum of positive squares in 8 ways, for example, as 126485499904 + 6734500096 = 355648^2 + 82064^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19996670 + ... + 20003330.

Almost surely, 2133220000000 is an apocalyptic number.

133220000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166224281496).

133220000000 is an abundant number, since it is smaller than the sum of its proper divisors (199228562992).

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

133220000000 is an frugal number, since it uses more digits than its factorization.

133220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712 (or 6668 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 133220000000 its reverse (22331), we get a palindrome (133220022331).

The spelling of 133220000000 in words is "one hundred thirty-three billion, two hundred twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 6661 8000 10000 12500 13322 15625 16000 20000 25000 26644 31250 32000 33305 40000 50000 53288 62500 66610 78125 80000 100000 106576 125000 133220 156250 160000 166525 200000 213152 250000 266440 312500 333050 400000 426304 500000 532880 625000 666100 800000 832625 852608 1000000 1065760 1250000 1332200 1665250 1705216 2000000 2131520 2500000 2664400 3330500 4000000 4163125 4263040 5000000 5328800 6661000 8326250 8526080 10000000 10657600 13322000 16652500 20000000 20815625 21315200 26644000 33305000 41631250 42630400 53288000 66610000 83262500 104078125 106576000 133220000 166525000 208156250 213152000 266440000 333050000 416312500 520390625 532880000 666100000 832625000 1040781250 1065760000 1332200000 1665250000 2081562500 2664400000 3330500000 4163125000 5328800000 6661000000 8326250000 13322000000 16652500000 26644000000 33305000000 66610000000 133220000000