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132022030200 = 23352292261637
BaseRepresentation
bin111101011110100100…
…0000100111101111000
3110121202211202000121020
41322331020010331320
54130340114431300
6140352230142440
712352425512064
oct1727510047570
9417684660536
10132022030200
1150a98aa3375
1221705ab1a20
13c5aca933c8
146565c5aaa4
15367a6288a0
hex1ebd204f78

132022030200 has 144 divisors (see below), whose sum is σ = 423869258280. Its totient is φ = 33991749120.

The previous prime is 132022029989. The next prime is 132022030201. The reversal of 132022030200 is 2030220231.

132022030200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 132022030200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132022030201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373782 + ... + 635418.

Almost surely, 2132022030200 is an apocalyptic number.

132022030200 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 132022030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211934629140).

132022030200 is an abundant number, since it is smaller than the sum of its proper divisors (291847228080).

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

132022030200 is a wasteful number, since it uses less digits than its factorization.

132022030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261714 (or 261676 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 132022030200 its reverse (2030220231), we get a palindrome (134052250431).

It can be divided in two parts, 13202 and 2030200, that added together give a palindrome (2043402).

The spelling of 132022030200 in words is "one hundred thirty-two billion, twenty-two million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 841 870 1160 1450 1682 1740 2175 2523 2900 3364 3480 4205 4350 5046 5800 6728 8410 8700 10092 12615 16820 17400 20184 21025 25230 33640 42050 50460 63075 84100 100920 126150 168200 252300 261637 504600 523274 784911 1046548 1308185 1569822 2093096 2616370 3139644 3924555 5232740 6279288 6540925 7587473 7849110 10465480 13081850 15174946 15698220 19622775 22762419 26163700 30349892 31396440 37937365 39245550 45524838 52327400 60699784 75874730 78491100 91049676 113812095 151749460 156982200 182099352 189686825 220036717 227624190 303498920 379373650 440073434 455248380 569060475 660110151 758747300 880146868 910496760 1100183585 1138120950 1320220302 1517494600 1760293736 2200367170 2276241900 2640440604 3300550755 4400734340 4552483800 5280881208 5500917925 6601101510 8801468680 11001835850 13202203020 16502753775 22003671700 26404406040 33005507550 44007343400 66011015100 132022030200