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132113231000 = 2353313422087
BaseRepresentation
bin111101100001010001…
…1111110110010011000
3110122000012100111120122
41323002203332302120
54131031441343000
6140405245012412
712354613635452
oct1730243766230
9418005314518
10132113231000
1151035524933
1221730554108
13c5c5945a8a
146573ddb2d2
153683641085
hex1ec28fec98

132113231000 has 64 divisors (see below), whose sum is σ = 310133378880. Its totient is φ = 52676332800.

The previous prime is 132113230969. The next prime is 132113231021. The reversal of 132113231000 is 132311231.

It is a super-2 number, since 2×1321132310002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132113231000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101957 + ... + 524043.

It is an arithmetic number, because the mean of its divisors is an integer number (4845834045).

Almost surely, 2132113231000 is an apocalyptic number.

132113231000 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 132113231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155066689440).

132113231000 is an abundant number, since it is smaller than the sum of its proper divisors (178020147880).

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

132113231000 is a wasteful number, since it uses less digits than its factorization.

132113231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422421 (or 422407 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 132113231000 its reverse (132311231), we get a palindrome (132245542231).

The spelling of 132113231000 in words is "one hundred thirty-two billion, one hundred thirteen million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 313 500 626 1000 1252 1565 2504 3130 6260 7825 12520 15650 31300 39125 62600 78250 156500 313000 422087 844174 1688348 2110435 3376696 4220870 8441740 10552175 16883480 21104350 42208700 52760875 84417400 105521750 132113231 211043500 264226462 422087000 528452924 660566155 1056905848 1321132310 2642264620 3302830775 5284529240 6605661550 13211323100 16514153875 26422646200 33028307750 66056615500 132113231000