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121340160 = 283353511
BaseRepresentation
bin1110011101110…
…00000100000000
322110022201102000
413032320010000
5222030341120
620012424000
73002242254
oct716700400
9273281360
10121340160
1162547727
1234778000
131c1a5c16
1412188264
15a9bc990
hex73b8100

121340160 has 144 divisors (see below), whose sum is σ = 430711680. Its totient is φ = 32348160.

The previous prime is 121340159. The next prime is 121340201. The reversal of 121340160 is 61043121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 32805 + ... + 36315.

Almost surely, 2121340160 is an apocalyptic number.

121340160 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 121340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215355840).

121340160 is an abundant number, since it is smaller than the sum of its proper divisors (309371520).

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

121340160 is an equidigital number, since it uses as much as digits as its factorization.

121340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 121340160 is about 11015.4509667104. The cubic root of 121340160 is about 495.0717985844.

Adding to 121340160 its reverse (61043121), we get a palindrome (182383281).

The spelling of 121340160 in words is "one hundred twenty-one million, three hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3511 3840 4320 5760 6912 7022 8640 10533 11520 14044 17280 17555 21066 28088 31599 34560 35110 42132 52665 56176 63198 70220 84264 94797 105330 112352 126396 140440 157995 168528 189594 210660 224704 252792 280880 315990 337056 379188 421320 449408 473985 505584 561760 631980 674112 758376 842640 898816 947970 1011168 1123520 1263960 1348224 1516752 1685280 1895940 2022336 2247040 2527920 2696448 3033504 3370560 3791880 4044672 4494080 5055840 6067008 6741120 7583760 8089344 10111680 12134016 13482240 15167520 20223360 24268032 30335040 40446720 60670080 121340160