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2121131303112 = 2332941613121259
BaseRepresentation
bin11110110111011101010…
…001110010000011001000
321111210000021202121120210
4132313131101302003020
5234223034103144422
64302233445121120
7306150416410203
oct36673521620310
97453007677523
102121131303112
11748626360758
122a310a6b91a0
13125038c3c563
147494016293a
153a29744e10c
hex1eddd4720c8

2121131303112 has 128 divisors (see below), whose sum is σ = 5628695184000. Its totient is φ = 664920668160.

The previous prime is 2121131303063. The next prime is 2121131303117. The reversal of 2121131303112 is 2113031311212.

It is a super-2 number, since 2×21211313031122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121131303117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17431939 + ... + 17553197.

It is an arithmetic number, because the mean of its divisors is an integer number (43974181125).

Almost surely, 22121131303112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121131303112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814347592000).

2121131303112 is an abundant number, since it is smaller than the sum of its proper divisors (3507563880888).

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

2121131303112 is a wasteful number, since it uses less digits than its factorization.

2121131303112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121951 (or 121947 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 2121131303112 its reverse (2113031311212), we get a palindrome (4234162614324).

The spelling of 2121131303112 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 116 123 164 174 232 246 328 348 492 613 696 984 1189 1226 1839 2378 2452 3567 3678 4756 4904 7134 7356 9512 14268 14712 17777 25133 28536 35554 50266 53331 71108 75399 100532 106662 121259 142216 150798 201064 213324 242518 301596 363777 426648 485036 603192 727554 728857 970072 1455108 1457714 2186571 2910216 2915428 3516511 4373142 4971619 5830856 7033022 8746284 9943238 10549533 14066044 14914857 17492568 19886476 21099066 28132088 29829714 39772952 42198132 59659428 74331767 84396264 119318856 144176951 148663534 222995301 288353902 297327068 432530853 445990602 576707804 594654136 865061706 891981204 1153415608 1730123412 1783962408 2155621243 3047602447 3460246824 4311242486 6095204894 6466863729 8622484972 9142807341 12190409788 12933727458 17244969944 18285614682 24380819576 25867454916 36571229364 51734909832 73142458728 88380470963 176760941926 265141412889 353521883852 530282825778 707043767704 1060565651556 2121131303112