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132212031200 = 2552434099397
BaseRepresentation
bin111101100100001110…
…0110111111011100000
3110122021002021001222022
41323020130313323200
54131232234444300
6140423134401012
712360223502624
oct1731034677340
9418232231868
10132212031200
1151086276997
1221759660168
13c610259432
146583199184
15368c15a285
hex1ec8737ee0

132212031200 has 144 divisors (see below), whose sum is σ = 331111463760. Its totient is φ = 51523153920.

The previous prime is 132212031199. The next prime is 132212031241. The reversal of 132212031200 is 2130212231.

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, 14064902 + ... + 14074298.

It is an arithmetic number, because the mean of its divisors is an integer number (2299385165).

Almost surely, 2132212031200 is an apocalyptic number.

132212031200 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 132212031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165555731880).

132212031200 is an abundant number, since it is smaller than the sum of its proper divisors (198899432560).

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

132212031200 is a wasteful number, since it uses less digits than its factorization.

132212031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9869 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 132212031200 its reverse (2130212231), we get a palindrome (134342243431).

It can be divided in two parts, 132212031 and 200, that added together give a palindrome (132212231).

The spelling of 132212031200 in words is "one hundred thirty-two billion, two hundred twelve million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 160 172 200 215 344 400 409 430 688 800 818 860 1075 1376 1636 1720 2045 2150 3272 3440 4090 4300 6544 6880 8180 8600 9397 10225 13088 16360 17200 17587 18794 20450 32720 34400 35174 37588 40900 46985 65440 70348 75176 81800 87935 93970 140696 150352 163600 175870 187940 234925 281392 300704 327200 351740 375880 404071 439675 469850 562784 703480 751760 808142 879350 939700 1406960 1503520 1616284 1758700 1879400 2020355 2813920 3232568 3517400 3758800 3843373 4040710 6465136 7034800 7517600 7686746 8081420 10101775 12930272 14069600 15373492 16162840 19216865 20203550 30746984 32325680 38433730 40407100 61493968 64651360 76867460 80814200 96084325 122987936 153734920 161628400 165265039 192168650 307469840 323256800 330530078 384337300 614939680 661060156 768674600 826325195 1322120312 1537349200 1652650390 2644240624 3074698400 3305300780 4131625975 5288481248 6610601560 8263251950 13221203120 16526503900 26442406240 33053007800 66106015600 132212031200