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1332003104320 = 26574637128239
BaseRepresentation
bin10011011000100001100…
…100100110011001000000
311201100010120211121011011
4103120201210212121000
5133310420243314240
62455525213130304
7165143164401460
oct23304144463100
94640116747134
101332003104320
11473999033139
12196199189994
13987b8482865
144867da59ba0
15249ad8266ea
hex13621926640

1332003104320 has 112 divisors (see below), whose sum is σ = 3625761323520. Its totient is φ = 456584730624.

The previous prime is 1332003104273. The next prime is 1332003104323. The reversal of 1332003104320 is 234013002331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1332003104291 and 1332003104300.

It is not an unprimeable number, because it can be changed into a prime (1332003104323) 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, 10322761 + ... + 10450999.

It is an arithmetic number, because the mean of its divisors is an integer number (32372868960).

Almost surely, 21332003104320 is an apocalyptic number.

1332003104320 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 1332003104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812880661760).

1332003104320 is an abundant number, since it is smaller than the sum of its proper divisors (2293758219200).

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

1332003104320 is a wasteful number, since it uses less digits than its factorization.

1332003104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132900 (or 132890 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1332003104320 its reverse (234013002331), we get a palindrome (1566016106651).

The spelling of 1332003104320 in words is "one trillion, three hundred thirty-two billion, three million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 4637 9274 18548 23185 32459 37096 46370 64918 74192 92740 128239 129836 148384 162295 185480 256478 259672 296768 324590 370960 512956 519344 641195 649180 741920 897673 1025912 1038688 1282390 1298360 1483840 1795346 2051824 2077376 2564780 2596720 3590692 4103648 4488365 5129560 5193440 7181384 8207296 8976730 10259120 10386880 14362768 17953460 20518240 28725536 35906920 41036480 57451072 71813840 143627680 287255360 594644243 1189288486 2378576972 2973221215 4162509701 4757153944 5946442430 8325019402 9514307888 11892884860 16650038804 19028615776 20812548505 23785769720 33300077608 38057231552 41625097010 47571539440 66600155216 83250194020 95143078880 133200310432 166500388040 190286157760 266400620864 333000776080 666001552160 1332003104320