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21223312111302 = 2373563172310631
BaseRepresentation
bin1001101001101011011111…
…11110101011011011000110
32210010221002010000120102220
410310311233332223123012
510240210320400030202
6113045504402113210
74320222313266000
oct464655776533306
983127063016386
1021223312111302
11684283543a414
12246927834b806
13bac471509232
145352dc8bb370
1526c101483abc
hex134d6ffab6c6

21223312111302 has 128 divisors (see below), whose sum is σ = 49621806489600. Its totient is φ = 6048950816160.

The previous prime is 21223312111301. The next prime is 21223312111319. The reversal of 21223312111302 is 20311121332212.

It is a super-2 number, since 2×212233121113022 (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 (21223312111301) 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, 1996355527 + ... + 1996366157.

It is an arithmetic number, because the mean of its divisors is an integer number (387670363200).

Almost surely, 221223312111302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21223312111302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24810903244800).

21223312111302 is an abundant number, since it is smaller than the sum of its proper divisors (28398494378298).

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

21223312111302 is a wasteful number, since it uses less digits than its factorization.

21223312111302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12943 (or 12929 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 21223312111302 its reverse (20311121332212), we get a palindrome (41534433443514).

The spelling of 21223312111302 in words is "twenty-one trillion, two hundred twenty-three billion, three hundred twelve million, one hundred eleven thousand, three hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 563 686 1029 1126 1689 1723 2058 3378 3446 3941 5169 7882 10338 10631 11823 12061 21262 23646 24122 27587 31893 36183 55174 63786 72366 74417 82761 84427 148834 165522 168854 193109 223251 253281 386218 446502 506562 520919 579327 590989 970049 1041838 1158654 1181978 1562757 1772967 1940098 2910147 3125514 3545934 3646433 5820294 5985253 6790343 7292866 10939299 11970506 13580686 17955759 18317213 20371029 21878598 35911518 36634426 40742058 41896771 47532401 54951639 83793542 95064802 109903278 125690313 128220491 142597203 251380626 256440982 285194406 293277397 332726807 384661473 586554794 665453614 769322946 879832191 897543437 998180421 1759664382 1795086874 1996360842 2052941779 2692630311 4105883558 5385260622 6158825337 6282804059 10312590919 12317650674 12565608118 18848412177 20625181838 30937772757 37696824354 61875545514 72188136433 144376272866 216564409299 433128818598 505316955031 1010633910062 1515950865093 3031901730186 3537218685217 7074437370434 10611656055651 21223312111302