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132102311100 = 22352736032069
BaseRepresentation
bin111101100000111101…
…0010100110010111100
3110121222102210201021220
41323001322110302330
54131021142423400
6140404214553340
712354422055144
oct1730172246274
9417872721256
10132102311100
115102a346621
1221728968850
13c5c35c15b6
146572797924
1536826d57a0
hex1ec1e94cbc

132102311100 has 72 divisors (see below), whose sum is σ = 387451920240. Its totient is φ = 34744711680.

The previous prime is 132102311093. The next prime is 132102311119. The reversal of 132102311100 is 1113201231.

It is a happy number.

It is a super-2 number, since 2×1321023111002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132102311100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2994135 + ... + 3037934.

It is an arithmetic number, because the mean of its divisors is an integer number (5381276670).

Almost surely, 2132102311100 is an apocalyptic number.

132102311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132102311100 is an abundant number, since it is smaller than the sum of its proper divisors (255349609140).

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

132102311100 is a wasteful number, since it uses less digits than its factorization.

132102311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6032159 (or 6032152 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132102311100 its reverse (1113201231), we get a palindrome (133215512331).

The spelling of 132102311100 in words is "one hundred thirty-two billion, one hundred two million, three hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 3650 4380 5475 7300 10950 21900 6032069 12064138 18096207 24128276 30160345 36192414 60320690 72384828 90481035 120641380 150801725 180962070 301603450 361924140 440341037 452405175 603206900 880682074 904810350 1321023111 1761364148 1809620700 2201705185 2642046222 4403410370 5284092444 6605115555 8806820740 11008525925 13210231110 22017051850 26420462220 33025577775 44034103700 66051155550 132102311100