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132031310200 = 235229130717417
BaseRepresentation
bin111101011110110101…
…1011110100101111000
3110121210111012111100221
41322331223132211320
54130400003411300
6140353201105424
712352600422346
oct1727553364570
9417714174327
10132031310200
1150aa3261599
1221709028274
13c5b199232a
146567194996
15367b35d31a
hex1ebdade978

132031310200 has 96 divisors (see below), whose sum is σ = 317819278800. Its totient is φ = 50949463040.

The previous prime is 132031310197. The next prime is 132031310209. The reversal of 132031310200 is 2013130231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132031310209) 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, 7571892 + ... + 7589308.

Almost surely, 2132031310200 is an apocalyptic number.

132031310200 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 132031310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158909639400).

132031310200 is an abundant number, since it is smaller than the sum of its proper divisors (185787968600).

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

132031310200 is a wasteful number, since it uses less digits than its factorization.

132031310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18769 (or 18760 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 132031310200 its reverse (2013130231), we get a palindrome (134044440431).

The spelling of 132031310200 in words is "one hundred thirty-two billion, thirty-one million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1307 1450 2614 2900 5228 5800 6535 10456 13070 17417 26140 32675 34834 37903 52280 65350 69668 75806 87085 130700 139336 151612 174170 189515 261400 303224 348340 379030 435425 505093 696680 758060 870850 947575 1010186 1516120 1741700 1895150 2020372 2525465 3483400 3790300 4040744 5050930 7580600 10101860 12627325 20203720 22764019 25254650 45528038 50509300 91056076 101018600 113820095 182112152 227640190 455280380 569100475 660156551 910560760 1138200950 1320313102 2276401900 2640626204 3300782755 4552803800 5281252408 6601565510 13203131020 16503913775 26406262040 33007827550 66015655100 132031310200