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133100211020 = 22575924596553
BaseRepresentation
bin111101111110101100…
…1000000101101001100
3110201112222112021122012
41323331121000231030
54140042123223040
6141051223240352
712421230061310
oct1737531005514
9421488467565
10133100211020
11514a16655a7
1221966ba90b8
13c72227491a
146629119b40
1536e00ee865
hex1efd640b4c

133100211020 has 96 divisors (see below), whose sum is σ = 325036454400. Its totient is φ = 44835807744.

The previous prime is 133100210993. The next prime is 133100211067. The reversal of 133100211020 is 20112001331.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 133100210986 and 133100211004.

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, 20308064 + ... + 20314616.

It is an arithmetic number, because the mean of its divisors is an integer number (3385796400).

Almost surely, 2133100211020 is an apocalyptic number.

133100211020 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 133100211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162518227200).

133100211020 is an abundant number, since it is smaller than the sum of its proper divisors (191936243380).

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

133100211020 is a wasteful number, since it uses less digits than its factorization.

133100211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 133100211020 its reverse (20112001331), we get a palindrome (153212212351).

The spelling of 133100211020 in words is "one hundred thirty-three billion, one hundred million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 2459 4130 4918 6553 8260 9836 12295 13106 17213 24590 26212 32765 34426 45871 49180 65530 68852 86065 91742 131060 145081 172130 183484 229355 290162 344260 386627 458710 580324 725405 773254 917420 1015567 1450810 1546508 1933135 2031134 2706389 2901620 3866270 4062268 5077835 5412778 7732540 10155670 10825556 13531945 16113827 20311340 27063890 32227654 54127780 64455308 80569135 112796789 161138270 225593578 322276540 451187156 563983945 950715793 1127967890 1901431586 2255935780 3802863172 4753578965 6655010551 9507157930 13310021102 19014315860 26620042204 33275052755 66550105510 133100211020