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1332143120 = 2457111712721
BaseRepresentation
bin100111101100110…
…1110010000010000
310102211122212211002
41033121232100100
510212012034440
6340104241132
745004013120
oct11731562020
93384585732
101332143120
11623a61930
123121701a8
13182cb0589
14c8ccac80
157be3e115
hex4f66e410

1332143120 has 160 divisors (see below), whose sum is σ = 4088952576. Its totient is φ = 390758400.

The previous prime is 1332143117. The next prime is 1332143147. The reversal of 1332143120 is 213412331.

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

It is a junction number, because it is equal to n+sod(n) for n = 1332143092 and 1332143101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98360 + ... + 111080.

Almost surely, 21332143120 is an apocalyptic number.

1332143120 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 1332143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044476288).

1332143120 is an abundant number, since it is smaller than the sum of its proper divisors (2756809456).

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

1332143120 is a wasteful number, since it uses less digits than its factorization.

1332143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12769 (or 12763 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1332143120 is about 36498.5358610452. The cubic root of 1332143120 is about 1100.3148189814.

Adding to 1332143120 its reverse (213412331), we get a palindrome (1545555451).

The spelling of 1332143120 in words is "one billion, three hundred thirty-two million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 17 20 22 28 34 35 40 44 55 56 68 70 77 80 85 88 110 112 119 136 140 154 170 176 187 220 238 272 280 308 340 374 385 440 476 560 595 616 680 748 770 880 935 952 1190 1232 1309 1360 1496 1540 1870 1904 2380 2618 2992 3080 3740 4760 5236 6160 6545 7480 9520 10472 12721 13090 14960 20944 25442 26180 50884 52360 63605 89047 101768 104720 127210 139931 178094 203536 216257 254420 279862 356188 432514 445235 508840 559724 699655 712376 865028 890470 979517 1017680 1081285 1119448 1399310 1424752 1513799 1730056 1780940 1959034 2162570 2238896 2378827 2798620 3027598 3460112 3561880 3918068 4325140 4757654 4897585 5597240 6055196 7123760 7568995 7836136 8650280 9515308 9795170 11194480 11894135 12110392 15137990 15672272 16651789 17300560 19030616 19590340 23788270 24220784 30275980 33303578 38061232 39180680 47576540 60551960 66607156 78361360 83258945 95153080 121103920 133214312 166517890 190306160 266428624 333035780 666071560 1332143120