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133221330020 = 225236726916069
BaseRepresentation
bin111110000010010011…
…1000010110001100100
3110201212102102202200002
41330010213002301210
54140314130030040
6141111231240432
712424230423032
oct1740447026144
9421772382602
10133221330020
1151553a71049
122199b679118
13c7413a0c7c
14663b247552
1536eaa76a15
hex1f049c2c64

133221330020 has 96 divisors (see below), whose sum is σ = 297405561600. Its totient is φ = 50021097984.

The previous prime is 133221329959. The next prime is 133221330041. The reversal of 133221330020 is 20033122331.

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 = 133221329974 and 133221330001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8282546 + ... + 8298614.

It is an arithmetic number, because the mean of its divisors is an integer number (3097974600).

Almost surely, 2133221330020 is an apocalyptic number.

133221330020 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 133221330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148702780800).

133221330020 is an abundant number, since it is smaller than the sum of its proper divisors (164184231580).

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

133221330020 is a wasteful number, since it uses less digits than its factorization.

133221330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16437 (or 16435 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 133221330020 its reverse (20033122331), we get a palindrome (153254452351).

The spelling of 133221330020 in words is "one hundred thirty-three billion, two hundred twenty-one million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 67 92 115 134 230 268 269 335 460 538 670 1076 1340 1345 1541 2690 3082 5380 6164 6187 7705 12374 15410 16069 18023 24748 30820 30935 32138 36046 61870 64276 72092 80345 90115 123740 160690 180230 321380 360460 369587 414529 739174 829058 1076623 1478348 1658116 1847935 2072645 2153246 3695870 4145290 4306492 4322561 5383115 7391740 8290580 8645122 10766230 17290244 21532460 21612805 24762329 43225610 49524658 86451220 99049316 99418903 123811645 198837806 247623290 289611587 397675612 495246580 497094515 579223174 994189030 1158446348 1448057935 1988378060 2896115870 5792231740 6661066501 13322133002 26644266004 33305332505 66610665010 133221330020