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10211210130 = 23511475711153
BaseRepresentation
bin10011000001010001…
…01011001110010010
3222100122012012221210
421200220223032102
5131403032211010
64405125400550
7511020565632
oct114050531622
928318165853
1010211210130
11436aa64340
121b8b869156
13c6969b094
146cc2226c2
153eb6cdb20
hex260a2b392

10211210130 has 128 divisors (see below), whose sum is σ = 27375169536. Its totient is φ = 2416435200.

The previous prime is 10211210117. The next prime is 10211210183. The reversal of 10211210130 is 3101211201.

It is a Curzon 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, 8855634 + ... + 8856786.

It is an arithmetic number, because the mean of its divisors is an integer number (213868512).

Almost surely, 210211210130 is an apocalyptic number.

10211210130 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 10211210130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13687584768).

10211210130 is an abundant number, since it is smaller than the sum of its proper divisors (17163959406).

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

10211210130 is a wasteful number, since it uses less digits than its factorization.

10211210130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10211210130 its reverse (3101211201), we get a palindrome (13312421331).

The spelling of 10211210130 in words is "ten billion, two hundred eleven million, two hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 571 705 1034 1142 1153 1410 1551 1713 2306 2585 2855 3102 3426 3459 5170 5710 5765 6281 6918 7755 8565 11530 12562 12683 15510 17130 17295 18843 25366 26837 31405 34590 37686 38049 53674 54191 62810 63415 76098 80511 94215 108382 126830 134185 161022 162573 188430 190245 268370 270955 295207 325146 380490 402555 541910 590414 596101 658363 805110 812865 885621 1192202 1316726 1476035 1625730 1771242 1788303 1975089 2952070 2980505 3291815 3576606 3950178 4428105 5961010 6583630 7241993 8856210 8941515 9875445 14483986 17883030 19750890 21725979 30943061 36209965 43451958 61886122 72419930 92829183 108629895 154715305 185658366 217259790 309430610 340373671 464145915 680747342 928291830 1021121013 1701868355 2042242026 3403736710 5105605065 10211210130