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132033403001000 = 23531247310585537
BaseRepresentation
bin11110000001010101101100…
…000101011001100010101000
3122022111021021212111101220002
4132001111230011121202220
5114301213402132013000
61144451150305122132
736545045545062224
oct3601255405314250
9568437255441802
10132033403001000
1139085062988066
1212984b5b629348
1358899092183b7
142486645005784
15103e759ceb8d5
hex78156c1598a8

132033403001000 has 64 divisors (see below), whose sum is σ = 308982962368080. Its totient is φ = 52809121996800.

The previous prime is 132033403000883. The next prime is 132033403001081. The reversal of 132033403001000 is 100304330231.

It can be written as a sum of positive squares in 8 ways, for example, as 41854714908484 + 90178688092516 = 6469522^2 + 9496246^2 .

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

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, 7180232 + ... + 17765768.

Almost surely, 2132033403001000 is an apocalyptic number.

132033403001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132033403001000 is an abundant number, since it is smaller than the sum of its proper divisors (176949559367080).

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

132033403001000 is a wasteful number, since it uses less digits than its factorization.

132033403001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10598031 (or 10598017 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 132033403001000 its reverse (100304330231), we get a palindrome (132133707331231).

The spelling of 132033403001000 in words is "one hundred thirty-two trillion, thirty-three billion, four hundred three million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12473 24946 49892 62365 99784 124730 249460 311825 498920 623650 1247300 1559125 2494600 3118250 6236500 10585537 12473000 21171074 42342148 52927685 84684296 105855370 211710740 264638425 423421480 529276850 1058553700 1323192125 2117107400 2646384250 5292768500 10585537000 132033403001 264066806002 528133612004 660167015005 1056267224008 1320334030010 2640668060020 3300835075025 5281336120040 6601670150050 13203340300100 16504175375125 26406680600200 33008350750250 66016701500500 132033403001000