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133020133232 = 24737129724749
BaseRepresentation
bin111101111100010011…
…1100010011101110000
3110201100101211220120012
41323320213202131300
54134411123230412
6141035243034052
712416235322340
oct1737047423560
9421311756505
10133020133232
1151460440a08
122194420b928
13c70b7b800c
14661c632d20
1536d8082c22
hex1ef89e2770

133020133232 has 80 divisors (see below), whose sum is σ = 302750712000. Its totient is φ = 55422849024.

The previous prime is 133020133177. The next prime is 133020133237. The reversal of 133020133232 is 232331020331.

It is a junction number, because it is equal to n+sod(n) for n = 133020133198 and 133020133207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133020133237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5362394 + ... + 5387142.

It is an arithmetic number, because the mean of its divisors is an integer number (3784383900).

Almost surely, 2133020133232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133020133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151375356000).

133020133232 is an abundant number, since it is smaller than the sum of its proper divisors (169730578768).

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

133020133232 is a wasteful number, since it uses less digits than its factorization.

133020133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26098 (or 26092 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 133020133232 its reverse (232331020331), we get a palindrome (365351153563).

The spelling of 133020133232 in words is "one hundred thirty-three billion, twenty million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 1297 2072 2594 4144 5188 9079 10376 18158 20752 24749 36316 47989 49498 72632 95978 98996 145264 173243 191956 197992 335923 346486 383912 395984 671846 692972 767824 915713 1343692 1385944 1831426 2687384 2771888 3662852 5374768 6409991 7325704 12819982 14651408 25639964 32099453 51279928 64198906 102559856 128397812 224696171 256795624 449392342 513591248 898784684 1187679761 1797569368 2375359522 3595138736 4750719044 8313758327 9501438088 16627516654 19002876176 33255033308 66510066616 133020133232