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121133032104 = 2337331094733
BaseRepresentation
bin111000011010000010…
…1110110001010101000
3102120122222011121100110
41300310011312022220
53441040024011404
6131351525134320
711515534533000
oct1606405661250
9376588147313
10121133032104
1147410490997
121b58725a3a0
13b565b62176
145c11a03000
15323e6b3b89
hex1c341762a8

121133032104 has 128 divisors (see below), whose sum is σ = 353345760000. Its totient is φ = 34590995712.

The previous prime is 121133032099. The next prime is 121133032127. The reversal of 121133032104 is 401230331121.

It is a super-2 number, since 2×1211330321042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 25590922 + ... + 25595654.

It is an arithmetic number, because the mean of its divisors is an integer number (2760513750).

Almost surely, 2121133032104 is an apocalyptic number.

121133032104 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 121133032104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176672880000).

121133032104 is an abundant number, since it is smaller than the sum of its proper divisors (232212727896).

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

121133032104 is a wasteful number, since it uses less digits than its factorization.

121133032104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7872 (or 7854 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 121133032104 its reverse (401230331121), we get a palindrome (522363363225).

The spelling of 121133032104 in words is "one hundred twenty-one billion, one hundred thirty-three million, thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 3109 4116 4733 6218 8232 9327 9466 12436 14199 18654 18932 21763 24872 28398 33131 37308 37864 43526 56796 65289 66262 74616 87052 99393 113592 130578 132524 152341 174104 198786 231917 261156 265048 304682 397572 457023 463834 522312 609364 695751 795144 914046 927668 1066387 1218728 1391502 1623419 1828092 1855336 2132774 2783004 3199161 3246838 3656184 4265548 4870257 5566008 6398322 6493676 8531096 9740514 12796644 12987352 14714897 19481028 25593288 29429794 38962056 44144691 58859588 88289382 103004279 117719176 176578764 206008558 309012837 353157528 412017116 618025674 721029953 824034232 1236051348 1442059906 2163089859 2472102696 2884119812 4326179718 5047209671 5768239624 8652359436 10094419342 15141629013 17304718872 20188838684 30283258026 40377677368 60566516052 121133032104