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121019328 = 2632172727
BaseRepresentation
bin1110011011010…
…01101111000000
322102201102022100
413031221233000
5221440104303
620001510400
72666435013
oct715515700
9272642270
10121019328
1162348681
1234642400
131c0c2b91
141210337a
15a9578a3
hex7369bc0

121019328 has 126 divisors (see below), whose sum is σ = 368991896. Its totient is φ = 37914624.

The previous prime is 121019317. The next prime is 121019333. The reversal of 121019328 is 823910121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 166101 + ... + 166827.

Almost surely, 2121019328 is an apocalyptic number.

121019328 is a gapful number since it is divisible by the number (18) 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 121019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184495948).

121019328 is an abundant number, since it is smaller than the sum of its proper divisors (247972568).

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

121019328 is a wasteful number, since it uses less digits than its factorization.

121019328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 121019328 is about 11000.8785103736. The cubic root of 121019328 is about 494.6350784539.

Adding to 121019328 its reverse (823910121), we get a palindrome (944929449).

The spelling of 121019328 in words is "one hundred twenty-one million, nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 289 306 408 544 576 578 612 727 816 867 1088 1156 1224 1454 1632 1734 2181 2312 2448 2601 2908 3264 3468 4362 4624 4896 5202 5816 6543 6936 8724 9248 9792 10404 11632 12359 13086 13872 17448 18496 20808 23264 24718 26172 27744 34896 37077 41616 46528 49436 52344 55488 69792 74154 83232 98872 104688 111231 139584 148308 166464 197744 209376 210103 222462 296616 395488 418752 420206 444924 593232 630309 790976 840412 889848 1186464 1260618 1680824 1779696 1890927 2372928 2521236 3361648 3559392 3781854 5042472 6723296 7118784 7563708 10084944 13446592 15127416 20169888 30254832 40339776 60509664 121019328