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133122230120 = 23511243363521
BaseRepresentation
bin111101111111010110…
…1000000011101101000
3110201121111221222011102
41323332231000131220
54140113242330440
6141053331220532
712421615200035
oct1737655003550
9421544858142
10133122230120
1151503034900
1221972447748
13c7269b4089
14662c00c38c
1536e1eedb15
hex1efeb40768

133122230120 has 96 divisors (see below), whose sum is σ = 329995519560. Its totient is φ = 48295526400.

The previous prime is 133122230069. The next prime is 133122230147. The reversal of 133122230120 is 21032221331.

It can be written as a sum of positive squares in 4 ways, for example, as 88693178596 + 44429051524 = 297814^2 + 210782^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133122230092 and 133122230101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2063960 + ... + 2127480.

Almost surely, 2133122230120 is an apocalyptic number.

133122230120 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 133122230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164997759780).

133122230120 is an abundant number, since it is smaller than the sum of its proper divisors (196873289440).

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

133122230120 is a wasteful number, since it uses less digits than its factorization.

133122230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63987 (or 63972 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 133122230120 its reverse (21032221331), we get a palindrome (154154451451).

The spelling of 133122230120 in words is "one hundred thirty-three billion, one hundred twenty-two million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 433 440 484 605 866 968 1210 1732 2165 2420 3464 4330 4763 4840 8660 9526 17320 19052 23815 38104 47630 52393 63521 95260 104786 127042 190520 209572 254084 261965 317605 419144 508168 523930 635210 698731 1047860 1270420 1397462 2095720 2540840 2794924 3493655 5589848 6987310 7686041 13974620 15372082 27504593 27949240 30744164 38430205 55009186 61488328 76860410 110018372 137522965 153720820 220036744 275045930 302550523 307441640 550091860 605101046 1100183720 1210202092 1512752615 2420404184 3025505230 3328055753 6051010460 6656111506 12102020920 13312223012 16640278765 26624446024 33280557530 66561115060 133122230120