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23123311022322 = 23272113347668611
BaseRepresentation
bin1010100000111110100001…
…01111010101000011110010
310000212120022022011202100200
411100133100233111003302
511012323020110203242
6121102411420500030
74604414126461500
oct520372057250362
9100776268152320
1023123311022322
1174055a5280a15
1227155520aa616
13cb9698c6c2b4
1459d262105670
152a17550ae04c
hex1507d0bd50f2

23123311022322 has 144 divisors (see below), whose sum is σ = 58965464611872. Its totient is φ = 6529313629440.

The previous prime is 23123311022309. The next prime is 23123311022363. The reversal of 23123311022322 is 22322011332132.

23123311022322 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 3 + 311 + 0 + 22 + 322 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34249797 + ... + 34918407.

It is an arithmetic number, because the mean of its divisors is an integer number (409482393138).

Almost surely, 223123311022322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23123311022322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29482732305936).

23123311022322 is an abundant number, since it is smaller than the sum of its proper divisors (35842153589550).

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

23123311022322 is a wasteful number, since it uses less digits than its factorization.

23123311022322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669093 (or 669083 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23123311022322 its reverse (22322011332132), we get a palindrome (45445322354454).

It can be divided in two parts, 2312331 and 1022322, that added together give a triangular number (3334653 = T2582).

The spelling of 23123311022322 in words is "twenty-three trillion, one hundred twenty-three billion, three hundred eleven million, twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 113 126 147 226 294 339 347 441 678 694 791 882 1017 1041 1582 2034 2082 2373 2429 3123 4746 4858 5537 6246 7119 7287 11074 14238 14574 16611 17003 21861 33222 34006 39211 43722 49833 51009 78422 99666 102018 117633 153027 235266 274477 306054 352899 548954 668611 705798 823431 1337222 1646862 1921339 2005833 2470293 3842678 4011666 4680277 4940586 5764017 6017499 9360554 11528034 12034998 14040831 17292051 28081662 32761939 34584102 42122493 65523878 75553043 84244986 98285817 151106086 196571634 226659129 232008017 294857451 453318258 464016034 528871301 589714902 679977387 696024051 1057742602 1359954774 1392048102 1586613903 1624056119 2088072153 3173227806 3248112238 3702099107 4176144306 4759841709 4872168357 7404198214 9519683418 9744336714 11106297321 11368392833 14616505071 22212594642 22736785666 26216905921 29233010142 33318891963 34105178499 52433811842 66637783926 68210356998 78650717763 102315535497 157301435526 183518341447 204631070994 235952153289 367036682894 471904306578 550555024341 1101110048682 1284628390129 1651665073023 2569256780258 3303330146046 3853885170387 7707770340774 11561655511161 23123311022322