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1132300333000 = 235310273110221
BaseRepresentation
bin10000011110100010010…
…110111110111111001000
311000020122221211200202101
4100132202112332333020
5122022422341124000
62224101021443144
7144543313012414
oct20364226767710
94006587750671
101132300333000
113a722a023281
121635451104b4
1382a10900c55
143cb37229d44
151e6c1514e6a
hex107a25befc8

1132300333000 has 64 divisors (see below), whose sum is σ = 2649864737520. Its totient is φ = 452871936000.

The previous prime is 1132300332967. The next prime is 1132300333007. The reversal of 1132300333000 is 3330032311.

It can be written as a sum of positive squares in 8 ways, for example, as 31718897604 + 1100581435396 = 178098^2 + 1049086^2 .

It is a super-2 number, since 2×11323003330002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1132300333007) 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, 10217890 + ... + 10328110.

Almost surely, 21132300333000 is an apocalyptic number.

1132300333000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132300333000 is an abundant number, since it is smaller than the sum of its proper divisors (1517564404520).

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

1132300333000 is a wasteful number, since it uses less digits than its factorization.

1132300333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120515 (or 120501 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 1132300333000 its reverse (3330032311), we get a palindrome (1135630365311).

The spelling of 1132300333000 in words is "one trillion, one hundred thirty-two billion, three hundred million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10273 20546 41092 51365 82184 102730 110221 205460 220442 256825 410920 440884 513650 551105 881768 1027300 1102210 1284125 2054600 2204420 2568250 2755525 4408840 5136500 5511050 10273000 11022100 13777625 22044200 27555250 55110500 110221000 1132300333 2264600666 4529201332 5661501665 9058402664 11323003330 22646006660 28307508325 45292013320 56615016650 113230033300 141537541625 226460066600 283075083250 566150166500 1132300333000