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122033413301324 = 22731077511106881
BaseRepresentation
bin11011101111110100011110…
…010000000010010001001100
3121000002021120101122110110012
4123233310132100002101030
5111443343412301120244
61111313213124532352
734463423513105000
oct3357643620022114
9530067511573405
10122033413301324
113597a097449908
121182aa872510b8
135312917258355
14221c63d3d8700
15e19580c4089e
hex6efd1e40244c

122033413301324 has 96 divisors (see below), whose sum is σ = 251710279833600. Its totient is φ = 51742212480000.

The previous prime is 122033413301287. The next prime is 122033413301377. The reversal of 122033413301324 is 423103314330221.

It is a super-2 number, since 2×1220334133013242 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109696364 + ... + 110803244.

It is an arithmetic number, because the mean of its divisors is an integer number (2621982081600).

Almost surely, 2122033413301324 is an apocalyptic number.

122033413301324 is a gapful number since it is divisible by the number (14) 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 122033413301324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125855139916800).

122033413301324 is an abundant number, since it is smaller than the sum of its proper divisors (129676866532276).

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

122033413301324 is a wasteful number, since it uses less digits than its factorization.

122033413301324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107764 (or 1107748 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 122033413301324 its reverse (423103314330221), we get a palindrome (545136727631545).

The spelling of 122033413301324 in words is "one hundred twenty-two trillion, thirty-three billion, four hundred thirteen million, three hundred one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 343 428 686 749 751 1372 1498 1502 2996 3004 5243 5257 10486 10514 20972 21028 36701 36799 73402 73598 80357 146804 147196 160714 257593 321428 515186 562499 1030372 1106881 1124998 2213762 2249996 3937493 4427524 7748167 7874986 15496334 15749972 27562451 30992668 54237169 55124902 108474338 110249804 118436267 216948676 236872534 379660183 473745068 759320366 829053869 831267631 1518640732 1658107738 1662535262 3316215476 3325070524 5803377083 5818873417 11606754166 11637746834 23213508332 23275493668 40623639581 40732113919 81247279162 81464227838 88945636517 162494558324 162928455676 177891273034 285124797433 355782546068 570249594866 622619455619 1140499189732 1245238911238 2490477822476 4358336189333 8716672378666 17433344757332 30508353325331 61016706650662 122033413301324