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42121120104 = 23327223519091
BaseRepresentation
bin100111001110100111…
…010100100101101000
311000201111022121021100
4213032213110211220
51142231001320404
631203345441400
73020541420300
oct471647244550
9130644277240
1042121120104
1116955301a68
1281b6340260
133c8365660b
142078194600
151167d21d39
hex9ce9d4968

42121120104 has 144 divisors (see below), whose sum is σ = 138472981920. Its totient is φ = 11511339840.

The previous prime is 42121120043. The next prime is 42121120117. The reversal of 42121120104 is 40102112124.

42121120104 is a `hidden beast` number, since 421 + 21 + 120 + 104 = 666.

42121120104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178402 + ... + 340689.

It is an arithmetic number, because the mean of its divisors is an integer number (961617930).

Almost surely, 242121120104 is an apocalyptic number.

It is an amenable number.

42121120104 is an abundant number, since it is smaller than the sum of its proper divisors (96351861816).

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

42121120104 is a wasteful number, since it uses less digits than its factorization.

42121120104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519140 (or 519126 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 42121120104 its reverse (40102112124), we get a palindrome (82223232228).

The spelling of 42121120104 in words is "forty-two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 161 168 184 196 207 252 276 294 322 392 414 441 483 504 552 588 644 828 882 966 1127 1176 1288 1449 1656 1764 1932 2254 2898 3381 3528 3864 4508 5796 6762 9016 10143 11592 13524 20286 27048 40572 81144 519091 1038182 1557273 2076364 3114546 3633637 4152728 4671819 6229092 7267274 9343638 10900911 11939093 12458184 14534548 18687276 21801822 23878186 25435459 29069096 32702733 35817279 37374552 43603644 47756372 50870918 65405466 71634558 76306377 83573651 87207288 95512744 101741836 107451837 130810932 143269116 152612754 167147302 203483672 214903674 228919131 250720953 261621864 286538232 305225508 334294604 429807348 457838262 501441906 585015557 610451016 668589208 752162859 859614696 915676524 1002883812 1170031114 1504325718 1755046671 1831353048 2005767624 2340062228 3008651436 3510093342 4680124456 5265140013 6017302872 7020186684 10530280026 14040373368 21060560052 42121120104