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132301213100 = 225271779140731
BaseRepresentation
bin111101100110111000…
…1000100110110101100
3110122111022001222112122
41323031301010312230
54131423102304400
6140440042052112
712362355520310
oct1731561046654
9418438058478
10132301213100
1151121649641
12217834aa038
13c625882ba4
146590d71b40
153694dc4685
hex1ecdc44dac

132301213100 has 144 divisors (see below), whose sum is σ = 351807482880. Its totient is φ = 42151449600.

The previous prime is 132301213081. The next prime is 132301213103. The reversal of 132301213100 is 1312103231.

It is a super-2 number, since 2×1323012131002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (132301213103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869735 + ... + 1010465.

It is an arithmetic number, because the mean of its divisors is an integer number (2443107520).

Almost surely, 2132301213100 is an apocalyptic number.

132301213100 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 132301213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175903741440).

132301213100 is an abundant number, since it is smaller than the sum of its proper divisors (219506269780).

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

132301213100 is a wasteful number, since it uses less digits than its factorization.

132301213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140848 (or 140841 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 132301213100 its reverse (1312103231), we get a palindrome (133613316331).

The spelling of 132301213100 in words is "one hundred thirty-two billion, three hundred one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 79 85 100 119 140 158 170 175 238 316 340 350 395 425 476 553 595 700 790 850 1106 1190 1343 1580 1700 1975 2212 2380 2686 2765 2975 3950 5372 5530 5950 6715 7900 9401 11060 11900 13430 13825 18802 26860 27650 33575 37604 47005 55300 67150 94010 134300 140731 188020 235025 281462 470050 562924 703655 940100 985117 1407310 1970234 2392427 2814620 3518275 3940468 4784854 4925585 7036550 9569708 9851170 11117749 11962135 14073100 16746989 19702340 22235498 23924270 24627925 33493978 44470996 47848540 49255850 55588745 59810675 66987956 77824243 83734945 98511700 111177490 119621350 155648486 167469890 189001733 222354980 239242700 277943725 311296972 334939780 378003466 389121215 418674725 555887450 756006932 778242430 837349450 945008665 1111774900 1323012131 1556484860 1674698900 1890017330 1945606075 2646024262 3780034660 3891212150 4725043325 5292048524 6615060655 7782424300 9450086650 13230121310 18900173300 26460242620 33075303275 66150606550 132301213100