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132001132301200 = 24522944925343893
BaseRepresentation
bin11110000000110111101000…
…100110011100101110010000
3122022101011222212110222222101
4132000313220212130232100
5114300201304332114300
61144424252200050144
736542524053464311
oct3600675046345620
9568334885428871
10132001132301200
1139072402a15728
121297a854163954
135886865599766
142484c63198608
15103d9bbb8cb6a
hex780de899cb90

132001132301200 has 120 divisors (see below), whose sum is σ = 328799008809000. Its totient is φ = 50866204999680.

The previous prime is 132001132301191. The next prime is 132001132301209. The reversal of 132001132301200 is 2103231100231.

It is an interprime number because it is at equal distance from previous prime (132001132301191) and next prime (132001132301209).

It can be written as a sum of positive squares in 12 ways, for example, as 7951790891664 + 124049341409536 = 2819892^2 + 11137744^2 .

It is not an unprimeable number, because it can be changed into a prime (132001132301209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7463547 + ... + 17880346.

It is an arithmetic number, because the mean of its divisors is an integer number (2739991740075).

Almost surely, 2132001132301200 is an apocalyptic number.

132001132301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132001132301200 is an abundant number, since it is smaller than the sum of its proper divisors (196797876507800).

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

132001132301200 is a wasteful number, since it uses less digits than its factorization.

132001132301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25344389 (or 25344378 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 132001132301200 its reverse (2103231100231), we get a palindrome (134104363401431).

The spelling of 132001132301200 in words is "one hundred thirty-two trillion, one billion, one hundred thirty-two million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 449 464 580 725 898 1160 1450 1796 2245 2320 2900 3592 4490 5800 7184 8980 11225 11600 13021 17960 22450 26042 35920 44900 52084 65105 89800 104168 130210 179600 208336 260420 325525 520840 651050 1041680 1302100 2604200 5208400 25343893 50687786 101375572 126719465 202751144 253438930 405502288 506877860 633597325 734972897 1013755720 1267194650 1469945794 2027511440 2534389300 2939891588 3674864485 5068778600 5879783176 7349728970 10137557200 11379407957 11759566352 14699457940 18374322425 22758815914 29398915880 36748644850 45517631828 56897039785 58797831760 73497289700 91035263656 113794079570 146994579400 182070527312 227588159140 284485198925 293989158800 330002830753 455176318280 568970397850 660005661506 910352636560 1137940795700 1320011323012 1650014153765 2275881591400 2640022646024 3300028307530 4551763182800 5280045292048 6600056615060 8250070768825 13200113230120 16500141537650 26400226460240 33000283075300 66000566150600 132001132301200