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133100212110 = 23537436741621
BaseRepresentation
bin111101111110101100…
…1000000111110001110
3110201112222112100010120
41323331121000332032
54140042123241420
6141051223245410
712421230064425
oct1737531007616
9421488470116
10133100212110
11514a16663a8
1221966ba9866
13c722275278
14662911a2bc
1536e00eed40
hex1efd640f8e

133100212110 has 128 divisors (see below), whose sum is σ = 340722353664. Its totient is φ = 33226744320.

The previous prime is 133100212031. The next prime is 133100212139. The reversal of 133100212110 is 11212001331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133100212110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3177100 + ... + 3218720.

It is an arithmetic number, because the mean of its divisors is an integer number (2661893388).

Almost surely, 2133100212110 is an apocalyptic number.

133100212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133100212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170361176832).

133100212110 is an abundant number, since it is smaller than the sum of its proper divisors (207622141554).

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

133100212110 is a wasteful number, since it uses less digits than its factorization.

133100212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41778.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 133100212110 its reverse (11212001331), we get a palindrome (144312213441).

The spelling of 133100212110 in words is "one hundred thirty-three billion, one hundred million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 43 67 74 86 111 129 134 185 201 215 222 258 335 370 402 430 555 645 670 1005 1110 1290 1591 2010 2479 2881 3182 4773 4958 5762 7437 7955 8643 9546 12395 14405 14874 15910 17286 23865 24790 28810 37185 41621 43215 47730 74370 83242 86430 106597 124863 208105 213194 249726 319791 416210 532985 624315 639582 1065970 1248630 1539977 1598955 1789703 2788607 3079954 3197910 3579406 4619931 5369109 5577214 7699885 8365821 8948515 9239862 10738218 13943035 15399770 16731642 17897030 23099655 26845545 27886070 41829105 46199310 53691090 66219011 83658210 103178459 119910101 132438022 198657033 206356918 239820202 309535377 331095055 359730303 397314066 515892295 599550505 619070754 662190110 719460606 993285165 1031784590 1199101010 1547676885 1798651515 1986570330 3095353770 3597303030 4436673737 8873347474 13310021211 22183368685 26620042422 44366737370 66550106055 133100212110