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133301201000 = 23531153228647
BaseRepresentation
bin111110000100101011…
…1101110100001101000
3110202001222201122001112
41330021113232201220
54141000101413000
6141123203205452
712426220341032
oct1741127564150
9422058648045
10133301201000
1151595064320
1221a02376888
13c754ab76c6
146647ab8c52
153702aa2235
hex1f095ee868

133301201000 has 128 divisors (see below), whose sum is σ = 346703535360. Its totient is φ = 47558368000.

The previous prime is 133301200937. The next prime is 133301201003. The reversal of 133301201000 is 102103331.

It is not an unprimeable number, because it can be changed into a prime (133301201003) by changing a digit.

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, 468677 + ... + 697323.

It is an arithmetic number, because the mean of its divisors is an integer number (2708621370).

Almost surely, 2133301201000 is an apocalyptic number.

133301201000 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 133301201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173351767680).

133301201000 is an abundant number, since it is smaller than the sum of its proper divisors (213402334360).

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

133301201000 is a wasteful number, since it uses less digits than its factorization.

133301201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228732 (or 228718 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 133301201000 its reverse (102103331), we get a palindrome (133403304331).

The spelling of 133301201000 in words is "one hundred thirty-three billion, three hundred one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 125 200 212 220 250 265 275 424 440 500 530 550 583 1000 1060 1100 1166 1325 1375 2120 2200 2332 2650 2750 2915 4664 5300 5500 5830 6625 10600 11000 11660 13250 14575 23320 26500 29150 53000 58300 72875 116600 145750 228647 291500 457294 583000 914588 1143235 1829176 2286470 2515117 4572940 5030234 5716175 9145880 10060468 11432350 12118291 12575585 20120936 22864700 24236582 25151170 28580875 45729400 48473164 50302340 57161750 60591455 62877925 96946328 100604680 114323500 121182910 125755850 133301201 228647000 242365820 251511700 266602402 302957275 314389625 484731640 503023400 533204804 605914550 628779250 666506005 1066409608 1211829100 1257558500 1333012010 1514786375 2423658200 2515117000 2666024020 3029572750 3332530025 5332048040 6059145500 6665060050 12118291000 13330120100 16662650125 26660240200 33325300250 66650600500 133301201000