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133102303431000 = 23353120136942077
BaseRepresentation
bin11110010000111001001011…
…100000111100100101011000
3122110021110022101020022202220
4132100321023200330211120
5114421222004134243000
61151030204251024040
740015216105605411
oct3620711340744530
9573243271208686
10133102303431000
1139457408353892
1212b1815013b020
135936654b9b537
1424c2285dd8808
15105c46a3751a0
hex790e4b83c958

133102303431000 has 128 divisors (see below), whose sum is σ = 415624975796160. Its totient is φ = 35464392960000.

The previous prime is 133102303430981. The next prime is 133102303431017. The reversal of 133102303431000 is 134303201331.

It is a happy number.

It is a super-2 number, since 2×1331023034310002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 14868039 + ... + 22074038.

Almost surely, 2133102303431000 is an apocalyptic number.

133102303431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133102303431000 is an abundant number, since it is smaller than the sum of its proper divisors (282522672365160).

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

133102303431000 is a wasteful number, since it uses less digits than its factorization.

133102303431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36943302 (or 36943288 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133102303431000 its reverse (134303201331), we get a palindrome (133236606632331).

The spelling of 133102303431000 in words is "one hundred thirty-three trillion, one hundred two billion, three hundred three million, four hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1201 1500 2402 3000 3603 4804 6005 7206 9608 12010 14412 18015 24020 28824 30025 36030 48040 60050 72060 90075 120100 144120 150125 180150 240200 300250 360300 450375 600500 720600 900750 1201000 1801500 3603000 36942077 73884154 110826231 147768308 184710385 221652462 295536616 369420770 443304924 554131155 738841540 886609848 923551925 1108262310 1477683080 1847103850 2216524620 2770655775 3694207700 4433049240 4617759625 5541311550 7388415400 9235519250 11082623100 13853278875 18471038500 22165246200 27706557750 36942077000 44367434477 55413115500 88734868954 110826231000 133102303431 177469737908 221837172385 266204606862 354939475816 443674344770 532409213724 665511517155 887348689540 1064818427448 1109185861925 1331023034310 1774697379080 2218371723850 2662046068620 3327557585775 4436743447700 5324092137240 5545929309625 6655115171550 8873486895400 11091858619250 13310230343100 16637787928875 22183717238500 26620460686200 33275575857750 44367434477000 66551151715500 133102303431000