Search a number
-
+
21332110104 = 2334233146171
BaseRepresentation
bin10011110111011111…
…100010101100011000
32001001200010110210000
4103313133202230120
5322142010010404
613444433053000
71353425641554
oct236737425430
961050113700
1021332110104
119057469068
1241740b7160
13201c676176
1410651a4864
1584cba0339
hex4f77e2b18

21332110104 has 160 divisors (see below), whose sum is σ = 64360074240. Its totient is φ = 6581995200.

The previous prime is 21332110049. The next prime is 21332110109. The reversal of 21332110104 is 40101123312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332110109) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 438939 + ... + 485109.

It is an arithmetic number, because the mean of its divisors is an integer number (402250464).

Almost surely, 221332110104 is an apocalyptic number.

21332110104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21332110104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32180037120).

21332110104 is an abundant number, since it is smaller than the sum of its proper divisors (43027964136).

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

21332110104 is a wasteful number, since it uses less digits than its factorization.

21332110104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46243 (or 46230 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21332110104 its reverse (40101123312), we get a palindrome (61433233416).

The spelling of 21332110104 in words is "twenty-one billion, three hundred thirty-two million, one hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 31 36 46 54 62 69 72 81 92 93 108 124 138 162 184 186 207 216 248 276 279 324 372 414 552 558 621 648 713 744 828 837 1116 1242 1426 1656 1674 1863 2139 2232 2484 2511 2852 3348 3726 4278 4968 5022 5704 6417 6696 7452 8556 10044 12834 14904 17112 19251 20088 25668 38502 46171 51336 57753 77004 92342 115506 138513 154008 184684 231012 277026 369368 415539 462024 554052 831078 1061933 1108104 1246617 1431301 1662156 2123866 2493234 2862602 3185799 3324312 3739851 4247732 4293903 4986468 5725204 6371598 7479702 8495464 8587806 9557397 9972936 11450408 12743196 12881709 14959404 17175612 19114794 25486392 25763418 28672191 29918808 32919923 34351224 38229588 38645127 51526836 57344382 65839846 76459176 77290254 86016573 98759769 103053672 114688764 115935381 131679692 154580508 172033146 197519538 229377528 231870762 263359384 296279307 309161016 344066292 395039076 463741524 592558614 688132584 790078152 888837921 927483048 1185117228 1777675842 2370234456 2666513763 3555351684 5333027526 7110703368 10666055052 21332110104