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101211210210 = 2351116312291531
BaseRepresentation
bin101111001000010101…
…0001000000111100010
3100200020120202012022010
41132100222020013202
53124240032211320
6114255031253350
710212052043415
oct1362052100742
9320216665263
10101211210210
1139a180a9280
121774751a256
13970c72a586
144c81c6bb7c
15297573bae0
hex1790a881e2

101211210210 has 128 divisors (see below), whose sum is σ = 267006274560. Its totient is φ = 24349766400.

The previous prime is 101211210209. The next prime is 101211210239. The reversal of 101211210210 is 12012112101.

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, 66107145 + ... + 66108675.

It is an arithmetic number, because the mean of its divisors is an integer number (2085986520).

Almost surely, 2101211210210 is an apocalyptic number.

101211210210 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 101211210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133503137280).

101211210210 is an abundant number, since it is smaller than the sum of its proper divisors (165795064350).

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

101211210210 is a wasteful number, since it uses less digits than its factorization.

101211210210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101211210210 its reverse (12012112101), we get a palindrome (113223322311).

The spelling of 101211210210 in words is "one hundred one billion, two hundred eleven million, two hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 163 165 326 330 489 815 978 1229 1531 1630 1793 2445 2458 3062 3586 3687 4593 4890 5379 6145 7374 7655 8965 9186 10758 12290 13519 15310 16841 17930 18435 22965 26895 27038 33682 36870 40557 45930 50523 53790 67595 81114 84205 101046 135190 168410 200327 202785 249553 252615 400654 405570 499106 505230 600981 748659 1001635 1201962 1247765 1497318 1881599 2003270 2203597 2495530 2745083 3004905 3743295 3763198 4407194 5490166 5644797 6009810 6610791 7486590 8235249 9407995 11017985 11289594 13221582 13725415 16470498 18815990 20697589 22035970 27450830 28223985 33053955 41176245 41395178 56447970 62092767 66107910 82352490 103487945 124185534 206975890 306700637 310463835 613401274 620927670 920101911 1533503185 1840203822 3067006370 3373707007 4600509555 6747414014 9201019110 10121121021 16868535035 20242242042 33737070070 50605605105 101211210210