Search a number
-
+
21303032333202 = 23322339712893457
BaseRepresentation
bin1001101011111111111111…
…01011001100001110010010
32210102112211221200110001000
410311333333223030032102
510243012102234130302
6113150251123122430
74326044000063004
oct465777753141622
983375757613030
1021303032333202
116873624424024
122480806513416
13bb6b376a3679
14539102428374
1526e21a0da31c
hex135fffacc392

21303032333202 has 128 divisors (see below), whose sum is σ = 47722922956800. Its totient is φ = 7043852648448.

The previous prime is 21303032333171. The next prime is 21303032333207. The reversal of 21303032333202 is 20233323030312.

21303032333202 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 3 + 0 + 323 + 332 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21303032333207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6162287058 + ... + 6162290514.

It is an arithmetic number, because the mean of its divisors is an integer number (372835335600).

Almost surely, 221303032333202 is an apocalyptic number.

21303032333202 is an abundant number, since it is smaller than the sum of its proper divisors (26419890623598).

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

21303032333202 is a wasteful number, since it uses less digits than its factorization.

21303032333202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377 (or 5371 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 21303032333202 its reverse (20233323030312), we get a palindrome (41536355363514).

The spelling of 21303032333202 in words is "twenty-one trillion, three hundred three billion, thirty-two million, three hundred thirty-three thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 223 397 446 669 794 1191 1289 1338 2007 2382 2578 3457 3573 3867 4014 6021 6914 7146 7734 10371 10719 11601 12042 20742 21438 23202 31113 34803 62226 69606 88531 93339 177062 186678 265593 287447 511733 531186 574894 770911 796779 862341 1023466 1372429 1535199 1541822 1593558 1724682 2312733 2390337 2587023 2744858 3070398 4117287 4456073 4605597 4625466 4780674 5174046 6938199 7761069 8234574 8912146 9211194 12351861 13368219 13816791 13876398 15522138 20814597 24703722 26736438 27633582 37055583 40104657 41629194 74111166 80209314 114116459 120313971 228232918 240627942 306051667 342349377 612103334 684698754 918155001 993704279 1027048131 1769060981 1836310002 1987408558 2054096262 2754465003 2981112837 3081144393 3538121962 5307182943 5508930006 5962225674 6162288786 8263395009 8943338511 10614365886 15921548829 16526790018 17886677022 26830015533 31843097658 47764646487 53660031066 95529292974 394500598763 789001197526 1183501796289 2367003592578 3550505388867 7101010777734 10651516166601 21303032333202