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21311310033231 = 31723411918232819
BaseRepresentation
bin1001101100001111011010…
…00100000111000101001111
32210110100012211122011202120
410312013231010013011033
510243131030332030411
6113154140343024023
74326456062264151
oct466075504070517
983410184564676
1021311310033231
116877091a24629
12248233673b013
13bb785660731a
1453968993cad1
1526e551b8c106
hex1361ed10714f

21311310033231 has 128 divisors (see below), whose sum is σ = 32379532738560. Its totient is φ = 12393645158400.

The previous prime is 21311310033203. The next prime is 21311310033257. The reversal of 21311310033231 is 13233001311312.

It is not a de Polignac number, because 21311310033231 - 25 = 21311310033199 is a prime.

It is a super-2 number, since 2×213113100332312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21311310033331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7559881540 + ... + 7559884358.

It is an arithmetic number, because the mean of its divisors is an integer number (252965099520).

Almost surely, 221311310033231 is an apocalyptic number.

21311310033231 is a deficient number, since it is larger than the sum of its proper divisors (11068222705329).

21311310033231 is a wasteful number, since it uses less digits than its factorization.

21311310033231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 21311310033231 its reverse (13233001311312), we get a palindrome (34544311344543).

The spelling of 21311310033231 in words is "twenty-one trillion, three hundred eleven billion, three hundred ten million, thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 17 23 41 51 69 123 191 391 573 697 823 943 1173 2091 2469 2819 2829 3247 4393 7831 8457 9741 13179 13991 16031 18929 23493 33743 41973 47923 48093 56787 64837 74681 101229 115579 133127 143769 157193 180113 194511 224043 321793 346737 399381 471579 538429 540339 573631 776089 965379 1102229 1615287 1720893 1964843 2320037 2328267 2658317 2672281 3061921 3306687 3615439 5894529 6444913 6960111 7974951 8016843 9153293 9185763 10846317 12383867 13193513 19334739 22075589 27459879 37151601 39440629 39580539 45191389 53360851 61462463 66226767 95121517 109563521 118321887 135574167 148232999 160082553 184387389 210525739 285364551 328690563 375285013 443127067 444698997 507738547 631577217 907134467 1125855039 1329381201 1523215641 1617065789 2187794891 2519960983 2721403401 4851197367 6563384673 7533160139 7559882949 8631555299 10191922541 18168209747 22599480417 25894665897 30575767623 37192513147 54504629241 111577539441 173262683197 308859565699 417868824181 519788049591 926578697097 1253606472543 7103770011077 21311310033231