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1332003150 = 233521019769
BaseRepresentation
bin100111101100100…
…1100000101001110
310102211101202211000
41033121030011032
510211443100100
6340101241130
745002561052
oct11731140516
93384352730
101332003150
11623976755
123121031a6
13182c6195a
14c8c91c62
157be12900
hex4f64c14e

1332003150 has 96 divisors (see below), whose sum is σ = 3707128800. Its totient is φ = 351648000.

The previous prime is 1332003149. The next prime is 1332003181. The reversal of 1332003150 is 513002331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131466 + ... + 141234.

It is an arithmetic number, because the mean of its divisors is an integer number (38615925).

Almost surely, 21332003150 is an apocalyptic number.

1332003150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332003150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853564400).

1332003150 is an abundant number, since it is smaller than the sum of its proper divisors (2375125650).

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

1332003150 is a wasteful number, since it uses less digits than its factorization.

1332003150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1332003150 is about 36496.6183364980. The cubic root of 1332003150 is about 1100.2762804647.

Adding to 1332003150 its reverse (513002331), we get a palindrome (1845005481).

The spelling of 1332003150 in words is "one billion, three hundred thirty-two million, three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 101 135 150 202 225 270 303 450 505 606 675 909 1010 1350 1515 1818 2525 2727 3030 4545 5050 5454 7575 9090 9769 13635 15150 19538 22725 27270 29307 45450 48845 58614 68175 87921 97690 136350 146535 175842 244225 263763 293070 439605 488450 527526 732675 879210 986669 1318815 1465350 1973338 2198025 2637630 2960007 4396050 4933345 5920014 6594075 8880021 9866690 13188150 14800035 17760042 24666725 26640063 29600070 44400105 49333450 53280126 74000175 88800210 133200315 148000350 222000525 266400630 444001050 666001575 1332003150