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133102301023100 = 22527122518328211
BaseRepresentation
bin11110010000111001001011…
…010111110000101101111100
3122110021110022012200222202102
4132100321023113300231330
5114421222003030214400
61151030204123244232
740015216046256323
oct3620711327605574
9573243265628672
10133102301023100
1139457406a59792
1212b1814b379678
135936654537546
1424c228596d0ba
15105c46a04b9d5
hex790e4b5f0b7c

133102301023100 has 72 divisors (see below), whose sum is σ = 293030204616576. Its totient is φ = 52467723000000.

The previous prime is 133102301022979. The next prime is 133102301023121. The reversal of 133102301023100 is 1320103201331.

It is a super-2 number, since 2×1331023010231002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11817995 + ... + 20146205.

It is an arithmetic number, because the mean of its divisors is an integer number (4069863953008).

Almost surely, 2133102301023100 is an apocalyptic number.

133102301023100 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 133102301023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146515102308288).

133102301023100 is an abundant number, since it is smaller than the sum of its proper divisors (159927903593476).

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

133102301023100 is a wasteful number, since it uses less digits than its factorization.

133102301023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330547 (or 8330540 counting only the distinct ones).

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

Adding to 133102301023100 its reverse (1320103201331), we get a palindrome (134422404224431).

The spelling of 133102301023100 in words is "one hundred thirty-three trillion, one hundred two billion, three hundred one million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 2251 3550 4502 7100 9004 11255 22510 45020 56275 112550 159821 225100 319642 639284 799105 1598210 3196420 3995525 7991050 8328211 15982100 16656422 33312844 41641055 83282110 166564220 208205275 416410550 591302981 832821100 1182605962 2365211924 2956514905 5913029810 11826059620 14782574525 18746802961 29565149050 37493605922 59130298100 74987211844 93734014805 187468029610 374936059220 468670074025 937340148050 1331023010231 1874680296100 2662046020462 5324092040924 6655115051155 13310230102310 26620460204620 33275575255775 66551150511550 133102301023100