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132206201160 = 233511223449131
BaseRepresentation
bin111101100100000011…
…0101000100101001000
3110122020200021212122220
41323020012220211020
54131224241414120
6140422405414040
712360123111465
oct1731006504510
9418220255586
10132206201160
1151082a54780
122175770a320
13c60bc978c7
1465824bc66c
15368b8a7b40
hex1ec81a8948

132206201160 has 128 divisors (see below), whose sum is σ = 434616053760. Its totient is φ = 31906195200.

The previous prime is 132206201129. The next prime is 132206201191. The reversal of 132206201160 is 61102602231.

It is an interprime number because it is at equal distance from previous prime (132206201129) and next prime (132206201191).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132206201160.

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, 69795 + ... + 518925.

It is an arithmetic number, because the mean of its divisors is an integer number (3395437920).

Almost surely, 2132206201160 is an apocalyptic number.

132206201160 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 132206201160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217308026880).

132206201160 is an abundant number, since it is smaller than the sum of its proper divisors (302409852600).

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

132206201160 is a wasteful number, since it uses less digits than its factorization.

132206201160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449379 (or 449375 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132206201160 its reverse (61102602231), we get a palindrome (193308803391).

The spelling of 132206201160 in words is "one hundred thirty-two billion, two hundred six million, two hundred one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 223 264 330 440 446 660 669 892 1115 1320 1338 1784 2230 2453 2676 3345 4460 4906 5352 6690 7359 8920 9812 12265 13380 14718 19624 24530 26760 29436 36795 49060 58872 73590 98120 147180 294360 449131 898262 1347393 1796524 2245655 2694786 3593048 4491310 4940441 5389572 6736965 8982620 9880882 10779144 13473930 14821323 17965240 19761764 24702205 26947860 29642646 39523528 49404410 53895720 59285292 74106615 98808820 100156213 118570584 148213230 197617640 200312426 296426460 300468639 400624852 500781065 592852920 600937278 801249704 1001562130 1101718343 1201874556 1502343195 2003124260 2203436686 2403749112 3004686390 3305155029 4006248520 4406873372 5508591715 6009372780 6610310058 8813746744 11017183430 12018745560 13220620116 16525775145 22034366860 26441240232 33051550290 44068733720 66103100580 132206201160