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101243010330330 = 2351119117113789249
BaseRepresentation
bin10111000001010001111001…
…101010101010111011011010
3111021110201220110112210122120
4113001101321222222323122
5101232231141121032310
6555154221420002110
730216365114465331
oct2701217152527332
9437421813483576
10101243010330330
112a293a12a28010
12b4316a7390336
13446523737374b
141b0028b63cd18
15ba886a3c6b70
hex5c1479aaaeda

101243010330330 has 128 divisors (see below), whose sum is σ = 279262097280000. Its totient is φ = 23232125030400.

The previous prime is 101243010330269. The next prime is 101243010330379. The reversal of 101243010330330 is 33033010342101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101243010330330.

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, 447546 + ... + 14236794.

It is an arithmetic number, because the mean of its divisors is an integer number (2181735135000).

Almost surely, 2101243010330330 is an apocalyptic number.

101243010330330 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 101243010330330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139631048640000).

101243010330330 is an abundant number, since it is smaller than the sum of its proper divisors (178019086949670).

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

101243010330330 is a wasteful number, since it uses less digits than its factorization.

101243010330330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13790460.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 101243010330330 its reverse (33033010342101), we get a palindrome (134276020672431).

The spelling of 101243010330330 in words is "one hundred one trillion, two hundred forty-three billion, ten million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1171 1254 2090 2342 3135 3513 5855 6270 7026 11710 12881 17565 22249 25762 35130 38643 44498 64405 66747 77286 111245 128810 133494 193215 222490 244739 333735 386430 489478 667470 734217 1223695 1468434 2447390 3671085 7342170 13789249 27578498 41367747 68946245 82735494 137892490 151681739 206838735 261995731 303363478 413677470 455045217 523991462 758408695 785987193 910090434 1309978655 1516817390 1571974386 2275226085 2619957310 2881953041 3929935965 4550452170 5763906082 7859871930 8645859123 14409765205 16147210579 17291718246 28819530410 32294421158 43229295615 48441631737 80736052895 86458591230 96883263474 161472105790 177619316369 242208158685 306797001001 355238632738 484416317370 532857949107 613594002002 888096581845 920391003003 1065715898214 1533985005005 1776193163690 1840782006006 2664289745535 3067970010010 3374767011011 4601955015015 5328579491070 6749534022022 9203910030030 10124301033033 16873835055055 20248602066066 33747670110110 50621505165165 101243010330330