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133103122300 = 22528928335279
BaseRepresentation
bin111101111110110010…
…0000111011101111100
3110201120012000012011101
41323331210013131330
54140043344403200
6141051405502444
712421263605101
oct1737544073574
9421505005141
10133103122300
11514a3273915
1221967b71a24
13c722a53a85
146629676aa8
1536e04c726a
hex1efd90777c

133103122300 has 72 divisors (see below), whose sum is σ = 292237545600. Its totient is φ = 52614481920.

The previous prime is 133103122261. The next prime is 133103122301. The reversal of 133103122300 is 3221301331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133103122301) 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, 25211061 + ... + 25216339.

It is an arithmetic number, because the mean of its divisors is an integer number (4058854800).

Almost surely, 2133103122300 is an apocalyptic number.

133103122300 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 133103122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146118772800).

133103122300 is an abundant number, since it is smaller than the sum of its proper divisors (159134423300).

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

133103122300 is a wasteful number, since it uses less digits than its factorization.

133103122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8215 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 133103122300 its reverse (3221301331), we get a palindrome (136324423631).

The spelling of 133103122300 in words is "one hundred thirty-three billion, one hundred three million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 2833 4450 5279 5666 8900 10558 11332 14165 21116 26395 28330 52790 56660 70825 105580 131975 141650 252137 263950 283300 469831 504274 527900 939662 1008548 1260685 1879324 2349155 2521370 4698310 5042740 6303425 9396620 11745775 12606850 14955407 23491550 25213700 29910814 46983100 59821628 74777035 149554070 299108140 373885175 747770350 1331031223 1495540700 2662062446 5324124892 6655156115 13310312230 26620624460 33275780575 66551561150 133103122300