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133101323120 = 2454394578293
BaseRepresentation
bin111101111110101110…
…1010000001101110000
3110201120001121210011002
41323331131100031300
54140042414314440
6141051303141132
712421242402503
oct1737535201560
9421501553132
10133101323120
11514a2255097
12219674447a8
13c722573b7c
14662932913a
1536e026e115
hex1efd750370

133101323120 has 80 divisors (see below), whose sum is σ = 310881679680. Its totient is φ = 52996626432.

The previous prime is 133101323087. The next prime is 133101323123. The reversal of 133101323120 is 21323101331.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 133101323092 and 133101323101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133101323123) 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, 16045694 + ... + 16053986.

It is an arithmetic number, because the mean of its divisors is an integer number (3886020996).

Almost surely, 2133101323120 is an apocalyptic number.

133101323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133101323120 is an abundant number, since it is smaller than the sum of its proper divisors (177780356560).

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

133101323120 is a wasteful number, since it uses less digits than its factorization.

133101323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9202 (or 9196 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 133101323120 its reverse (21323101331), we get a palindrome (154424424451).

The spelling of 133101323120 in words is "one hundred thirty-three billion, one hundred one million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 439 457 878 914 1756 1828 2195 2285 3512 3656 4390 4570 7024 7312 8293 8780 9140 16586 17560 18280 33172 35120 36560 41465 66344 82930 132688 165860 200623 331720 401246 663440 802492 1003115 1604984 2006230 3209968 3640627 3789901 4012460 7281254 7579802 8024920 14562508 15159604 16049840 18203135 18949505 29125016 30319208 36406270 37899010 58250032 60638416 72812540 75798020 145625080 151596040 291250160 303192080 1663766539 3327533078 6655066156 8318832695 13310132312 16637665390 26620264624 33275330780 66550661560 133101323120