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21112330002114 = 23133118164697457
BaseRepresentation
bin1001100110011100110001…
…11011100001111011000010
32202202022121120121021112110
410303032120323201323002
510231401022440031424
6112522512010240150
74306213135030311
oct463163073417302
982668546537473
1021112330002114
1167aa76398611a
12244b864726056
13ba1b656c7540
1452dbb10c6278
152692a8040c29
hex133398ee1ec2

21112330002114 has 128 divisors (see below), whose sum is σ = 47212533688320. Its totient is φ = 6250012876800.

The previous prime is 21112330002097. The next prime is 21112330002157. The reversal of 21112330002114 is 41120003321112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2831205874 + ... + 2831213330.

It is an arithmetic number, because the mean of its divisors is an integer number (368847919440).

Almost surely, 221112330002114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112330002114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23606266844160).

21112330002114 is an abundant number, since it is smaller than the sum of its proper divisors (26100203686206).

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

21112330002114 is a wasteful number, since it uses less digits than its factorization.

21112330002114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14156.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21112330002114 its reverse (41120003321112), we get a palindrome (62232333323226).

The spelling of 21112330002114 in words is "twenty-one trillion, one hundred twelve billion, three hundred thirty million, two thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 181 186 362 403 543 806 1086 1209 2353 2418 4706 5611 6469 7059 7457 11222 12938 14118 14914 16833 19407 22371 33666 38814 44742 72943 84097 96941 145886 168194 193882 200539 218829 231167 252291 290823 401078 437658 462334 504582 581646 601617 693501 1170889 1203234 1349717 1387002 2341778 2607007 2699434 3005171 3512667 4049151 5214014 6010342 7025334 7821021 8098302 9015513 15221557 15642042 17546321 18031026 30443114 35092642 36297559 41841227 45664671 48239333 52638963 72595118 83682454 91329342 96478666 105277926 108892677 125523681 144717999 217785354 251047362 289435998 471868267 543935951 627111329 943736534 1087871902 1254222658 1415604801 1495419323 1631807853 1881333987 2831209602 2990838646 3263615706 3762667974 4486257969 8731319273 8972515938 17462638546 19440451199 26193957819 38880902398 52387915638 58321353597 113507150549 116642707194 227014301098 270670897463 340521451647 541341794926 681042903294 812012692389 1624025384778 3518721667019 7037443334038 10556165001057 21112330002114