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132212104000 = 265353311821
BaseRepresentation
bin111101100100001110…
…1001001101101000000
3110122021002101202211121
41323020131021231000
54131232244312000
6140423140122024
712360224225104
oct1731035115500
9418232352747
10132212104000
1151086316659
1221759696314
13c610283602
1465831b7904
15368c171b1a
hex1ec8749b40

132212104000 has 112 divisors (see below), whose sum is σ = 333602143056. Its totient is φ = 51886848000.

The previous prime is 132212103997. The next prime is 132212104019. The reversal of 132212104000 is 401212231.

It can be written as a sum of positive squares in 8 ways, for example, as 43808164416 + 88403939584 = 209304^2 + 297328^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268090 + ... + 579910.

It is an arithmetic number, because the mean of its divisors is an integer number (2978590563).

Almost surely, 2132212104000 is an apocalyptic number.

132212104000 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 132212104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166801071528).

132212104000 is an abundant number, since it is smaller than the sum of its proper divisors (201390039056).

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

132212104000 is an equidigital number, since it uses as much as digits as its factorization.

132212104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311901 (or 311881 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 132212104000 its reverse (401212231), we get a palindrome (132613316231).

The spelling of 132212104000 in words is "one hundred thirty-two billion, two hundred twelve million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 125 160 200 212 250 265 320 400 424 500 530 800 848 1000 1060 1325 1600 1696 2000 2120 2650 3392 4000 4240 5300 6625 8000 8480 10600 13250 16960 21200 26500 42400 53000 84800 106000 212000 311821 424000 623642 1247284 1559105 2494568 3118210 4989136 6236420 7795525 9978272 12472840 15591050 16526513 19956544 24945680 31182100 33053026 38977625 49891360 62364200 66106052 77955250 82632565 99782720 124728400 132212104 155910500 165265130 249456800 264424208 311821000 330530260 413162825 498913600 528848416 623642000 661060520 826325650 1057696832 1247284000 1322121040 1652651300 2065814125 2494568000 2644242080 3305302600 4131628250 5288484160 6610605200 8263256500 13221210400 16526513000 26442420800 33053026000 66106052000 132212104000