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20442012111312 = 24311233324116883
BaseRepresentation
bin1001010010111100001101…
…10111101101000111010000
32200101020101222020020222020
410221132012313231013100
510134410220100030222
6111250533011411440
74206613055000301
oct451360667550720
980336358206866
1020442012111312
116571454a07490
1223619705b3b80
13b5389a7cc52c
14509581d1a7a8
15256b24c1c65c
hex129786ded1d0

20442012111312 has 160 divisors (see below), whose sum is σ = 57666281550336. Its totient is φ = 6188426534400.

The previous prime is 20442012111293. The next prime is 20442012111331. The reversal of 20442012111312 is 21311121024402.

It is an interprime number because it is at equal distance from previous prime (20442012111293) and next prime (20442012111331).

It is a super-2 number, since 2×204420121113122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2969924223 + ... + 2969931105.

Almost surely, 220442012111312 is an apocalyptic number.

20442012111312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20442012111312 is an abundant number, since it is smaller than the sum of its proper divisors (37224269439024).

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

20442012111312 is a wasteful number, since it uses less digits than its factorization.

20442012111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11649 (or 11643 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 20442012111312 its reverse (21311121024402), we get a palindrome (41753133135714).

The spelling of 20442012111312 in words is "twenty trillion, four hundred forty-two billion, twelve million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2333 2411 4666 4822 6883 6999 7233 9332 9644 13766 13998 14466 18664 19288 20649 25663 26521 27532 27996 28932 37328 38576 41298 51326 53042 55064 55992 57864 75713 76989 79563 82596 102652 106084 110128 111984 115728 151426 153978 159126 165192 205304 212168 227139 302852 307956 318252 330384 410608 424336 454278 605704 615912 636504 908556 1211408 1231824 1273008 1817112 3634224 5624863 11249726 16058039 16594913 16874589 22499452 32116078 33189826 33749178 44998904 48174117 49784739 61873493 64232156 66379652 67498356 89997808 96348234 99569478 123746986 128464312 132759304 134996712 176638429 182544043 185620479 192696468 199138956 247493972 256928624 265518608 269993424 353276858 365088086 371240958 385392936 398277912 494987944 529915287 547632129 706553716 730176172 742481916 770785872 796555824 989975888 1059830574 1095264258 1413107432 1460352344 1484963832 2119661148 2190528516 2826214864 2920704688 2969927664 4239322296 4381057032 8478644592 8762114064 38715932029 77431864058 116147796087 154863728116 232295592174 309727456232 425875252319 464591184348 619454912464 851750504638 929182368696 1277625756957 1703501009276 1858364737392 2555251513914 3407002018552 5110503027828 6814004037104 10221006055656 20442012111312