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141321320 = 23575389107
BaseRepresentation
bin10000110110001…
…10010001101000
3100211220212101222
420123012101220
5242134240240
622005001212
73334132340
oct1033062150
9324825358
10141321320
1172854888
123b3b3208
13233808aa
1414aa9d20
15c617eb5
hex86c6468

141321320 has 128 divisors (see below), whose sum is σ = 377913600. Its totient is φ = 46565376.

The previous prime is 141321307. The next prime is 141321329. The reversal of 141321320 is 23123141.

It is not an unprimeable number, because it can be changed into a prime (141321329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1320707 + ... + 1320813.

It is an arithmetic number, because the mean of its divisors is an integer number (2952450).

Almost surely, 2141321320 is an apocalyptic number.

141321320 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 141321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188956800).

141321320 is an abundant number, since it is smaller than the sum of its proper divisors (236592280).

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

141321320 is a wasteful number, since it uses less digits than its factorization.

141321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 141321320 is about 11887.8644003034. The cubic root of 141321320 is about 520.8778564321.

Adding to 141321320 its reverse (23123141), we get a palindrome (164444461).

The spelling of 141321320 in words is "one hundred forty-one million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 89 106 107 140 178 212 214 265 280 356 371 424 428 445 530 535 623 712 742 749 856 890 1060 1070 1246 1484 1498 1780 1855 2120 2140 2492 2968 2996 3115 3560 3710 3745 4280 4717 4984 5671 5992 6230 7420 7490 9434 9523 11342 12460 14840 14980 18868 19046 22684 23585 24920 28355 29960 33019 37736 38092 39697 45368 47170 47615 56710 66038 66661 76184 79394 94340 95230 113420 132076 133322 158788 165095 188680 190460 198485 226840 264152 266644 317576 330190 333305 380920 396970 504719 533288 660380 666610 793940 1009438 1320760 1333220 1587880 2018876 2523595 2666440 3533033 4037752 5047190 7066066 10094380 14132132 17665165 20188760 28264264 35330330 70660660 141321320