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23103544530132 = 2232113715491017959
BaseRepresentation
bin1010100000011001101101…
…00100001001010011010100
310000210200021202000220121100
411100030312210021103110
511012012024344431012
6121045342152150100
74603114241200413
oct520146644112324
9100720252026540
1023103544530132
1173a8181640860
122711756398330
13cb7868a81481
1459c308c4547a
152a0e99aba8dc
hex1503369094d4

23103544530132 has 144 divisors (see below), whose sum is σ = 65473965648000. Its totient is φ = 6807451610880.

The previous prime is 23103544530109. The next prime is 23103544530151.

23103544530132 is a `hidden beast` number, since 2 + 3 + 103 + 5 + 4 + 4 + 530 + 13 + 2 = 666.

23103544530132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22186969 + ... + 23204927.

It is an arithmetic number, because the mean of its divisors is an integer number (454680317000).

Almost surely, 223103544530132 is an apocalyptic number.

23103544530132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23103544530132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32736982824000).

23103544530132 is an abundant number, since it is smaller than the sum of its proper divisors (42370421117868).

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

23103544530132 is a wasteful number, since it uses less digits than its factorization.

23103544530132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019566 (or 1019561 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 2310354 and 4530132, that added together give a palindrome (6840486).

The spelling of 23103544530132 in words is "twenty-three trillion, one hundred three billion, five hundred forty-four million, five hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1549 1628 2442 3098 3663 4647 4884 6196 7326 9294 13941 14652 17039 18588 27882 34078 51117 55764 57313 68156 102234 114626 153351 171939 204468 229252 306702 343878 515817 613404 630443 687756 1017959 1031634 1260886 1891329 2035918 2063268 2521772 3053877 3782658 4071836 5673987 6107754 7565316 9161631 11197549 11347974 12215508 18323262 22395098 22695948 33592647 36646524 37664483 44790196 67185294 75328966 100777941 112993449 134370588 150657932 201555882 225986898 338980347 403111764 414309313 451973796 677960694 828618626 1242927939 1355921388 1576818491 1657237252 2485855878 3153636982 3728783817 4730455473 4971711756 6307273964 7457567634 9460910946 14191366419 14915135268 17345003401 18921821892 28382732838 34690006802 52035010203 56765465676 58342284167 69380013604 104070020406 116684568334 156105030609 175026852501 208140040812 233369136668 312210061218 350053705002 525080557503 624420122436 641765125837 700107410004 1050161115006 1283530251674 1925295377511 2100322230012 2567060503348 3850590755022 5775886132533 7701181510044 11551772265066 23103544530132