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73215103122 = 2347230372
BaseRepresentation
bin100010000101111110…
…1011101000010010010
320222222111010121020000
41010023331131002102
52144421031244442
653345021430430
75201224052100
oct1041375350222
9228874117200
1073215103122
1129061020697
121223370b416
136b9a573735
143787a12c70
151d879e3d4c
hex110bf5d092

73215103122 has 90 divisors (see below), whose sum is σ = 190903587237. Its totient is φ = 20911712976.

The previous prime is 73215103121. The next prime is 73215103153. The reversal of 73215103122 is 22130151237.

73215103122 is a `hidden beast` number, since 7 + 3 + 21 + 510 + 3 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62965363041 + 10249740081 = 250929^2 + 101241^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=191331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (73215103121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24106188 + ... + 24109224.

Almost surely, 273215103122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73215103122

73215103122 is an abundant number, since it is smaller than the sum of its proper divisors (117688484115).

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

73215103122 is an frugal number, since it uses more digits than its factorization.

73215103122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 73215103122 its reverse (22130151237), we get a palindrome (95345254359).

The spelling of 73215103122 in words is "seventy-three billion, two hundred fifteen million, one hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3037 3969 6074 7938 9111 18222 21259 27333 42518 54666 63777 81999 127554 148813 163998 191331 245997 297626 382662 446439 491994 573993 892878 1147986 1339317 1721979 2678634 3443958 4017951 8035902 9223369 12053853 18446738 24107706 27670107 55340214 64563583 83010321 129127166 166020642 193690749 249030963 387381498 451945081 498061926 581072247 747092889 903890162 1162144494 1355835243 1494185778 1743216741 2711670486 3486433482 4067505729 5229650223 8135011458 10459300446 12202517187 24405034374 36607551561 73215103122