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123200202104 = 23717373739377
BaseRepresentation
bin111001010111101001…
…1011110010101111000
3102210000000220201111022
41302233103132111320
54004303222431404
6132333011522012
711621005303460
oct1625723362570
9383000821438
10123200202104
1148281336351
121ba635b9308
13b8051c6b95
145d6a384ba0
153310de38be
hex1caf4de578

123200202104 has 128 divisors (see below), whose sum is σ = 287885093760. Its totient is φ = 48216342528.

The previous prime is 123200202061. The next prime is 123200202113. The reversal of 123200202104 is 401202002321.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 13133864 + ... + 13143240.

It is an arithmetic number, because the mean of its divisors is an integer number (2249102295).

Almost surely, 2123200202104 is an apocalyptic number.

123200202104 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 123200202104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942546880).

123200202104 is an abundant number, since it is smaller than the sum of its proper divisors (164684891656).

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

123200202104 is a wasteful number, since it uses less digits than its factorization.

123200202104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9817 (or 9813 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 123200202104 its reverse (401202002321), we get a palindrome (524402204425).

The spelling of 123200202104 in words is "one hundred twenty-three billion, two hundred million, two hundred two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 37 56 68 74 119 136 148 238 259 296 373 476 518 629 746 952 1036 1258 1492 2072 2516 2611 2984 4403 5032 5222 6341 8806 9377 10444 12682 13801 17612 18754 20888 25364 27602 35224 37508 44387 50728 55204 65639 75016 88774 96607 110408 131278 159409 177548 193214 234617 262556 318818 346949 355096 386428 469234 525112 637636 693898 772856 938468 1115863 1275272 1387796 1642319 1876936 2231726 2428643 2775592 3284638 3497621 4463452 4857286 5898133 6569276 6995242 8926904 9714572 11796266 13138552 13990484 19429144 23592532 24483347 27980968 41286931 47185064 48966694 59459557 82573862 97933388 118919114 129411977 165147724 195866776 237838228 258823954 330295448 416216899 475676456 517647908 832433798 905883839 1035295816 1664867596 1811767678 2200003609 3329735192 3623535356 4400007218 7247070712 8800014436 15400025263 17600028872 30800050526 61600101052 123200202104