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21152213142255 = 345136774598039
BaseRepresentation
bin1001100111100111000100…
…01001101000101011101111
32202220010120002202201110000
410303303202021220223233
510233024213031023010
6112553105332315343
74312124363105646
oct463634211505357
982803502681400
1021152213142255
11681566a977668
122457535472b53
13ba58504b2250
14531ab5d5435d
1526a33e6427c0
hex133ce2268aef

21152213142255 has 160 divisors (see below), whose sum is σ = 41454191116800. Its totient is φ = 10255322297088.

The previous prime is 21152213142253. The next prime is 21152213142331. The reversal of 21152213142255 is 55224131225112.

21152213142255 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 221 + 3 + 1 + 422 + 5 + 5 = 666.

It is not a de Polignac number, because 21152213142255 - 21 = 21152213142253 is a prime.

It is a super-2 number, since 2×211522131422552 (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 (21152213142253) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2631195526 + ... + 2631203564.

It is an arithmetic number, because the mean of its divisors is an integer number (259088694480).

Almost surely, 221152213142255 is an apocalyptic number.

21152213142255 is a deficient number, since it is larger than the sum of its proper divisors (20301977974545).

21152213142255 is a wasteful number, since it uses less digits than its factorization.

21152213142255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15595 (or 15586 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

Adding to 21152213142255 its reverse (55224131225112), we get a palindrome (76376344367367).

The spelling of 21152213142255 in words is "twenty-one trillion, one hundred fifty-two billion, two hundred thirteen million, one hundred forty-two thousand, two hundred fifty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 67 81 117 135 195 201 335 351 405 585 603 871 1005 1053 1755 1809 2613 3015 4355 5265 5427 7459 7839 8039 9045 13065 22377 23517 24117 27135 37295 39195 40195 67131 70551 72351 96967 104507 111885 117585 120585 201393 217053 290901 313521 335655 352755 361755 484835 499753 522535 538613 604179 651159 872703 940563 1006965 1085265 1454505 1499259 1567605 1615839 2498765 2618109 2693065 2821689 3020895 3255795 4363515 4497777 4702815 4847517 6496789 7001969 7496295 7854327 8079195 8465067 13090545 13493331 14108445 14542551 19490367 21005907 22488885 24237585 32483945 35009845 39271635 40479993 42325335 43627653 58471101 59962901 63017721 67466655 72712755 97451835 105029535 175413303 179888703 189053163 202399965 218138265 292355505 299814505 315088605 526239909 539666109 567159489 779517713 877066515 899443515 945265815 1618998327 2338553139 2631199545 2698330545 2835797445 3897588565 4017514367 4856994981 7015659417 8094991635 11692765695 12052543101 20087571835 21046978251 24284974905 35078297085 36157629303 52227686771 60262715505 63140934753 105234891255 108472887909 156683060313 180788146515 261138433855 315704673765 325418663727 470049180939 542364439545 783415301565 1410147542817 1627093318635 2350245904695 4230442628451 7050737714085 21152213142255