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133321412010 = 23531148196797
BaseRepresentation
bin111110000101010010…
…0110100110110101010
3110202010101202110100110
41330022210310312222
54141020240141020
6141125204315150
712426554206203
oct1741244646652
9422111673313
10133321412010
11515a5509136
1221a090a2ab6
13c759042b97
14664a65a5aa
1537047458e0
hex1f0a934daa

133321412010 has 64 divisors (see below), whose sum is σ = 330519481344. Its totient is φ = 34381939200.

The previous prime is 133321411981. The next prime is 133321412033. The reversal of 133321412010 is 10214123331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1328932 + ... + 1425728.

It is an arithmetic number, because the mean of its divisors is an integer number (5164366896).

Almost surely, 2133321412010 is an apocalyptic number.

133321412010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133321412010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165259740672).

133321412010 is an abundant number, since it is smaller than the sum of its proper divisors (197198069334).

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

133321412010 is a wasteful number, since it uses less digits than its factorization.

133321412010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98319.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 133321412010 its reverse (10214123331), we get a palindrome (143535535341).

The spelling of 133321412010 in words is "one hundred thirty-three billion, three hundred twenty-one million, four hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1481 2962 4443 7405 8886 14810 22215 44430 45911 91822 96797 137733 193594 229555 275466 290391 459110 483985 580782 688665 967970 1377330 1451955 2903910 3000707 6001414 9002121 15003535 18004242 30007070 45010605 90021210 143356357 286712714 430069071 716781785 860138142 1433563570 2150345355 4300690710 4444047067 8888094134 13332141201 22220235335 26664282402 44440470670 66660706005 133321412010