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121361064 = 23311223279
BaseRepresentation
bin1110011101111…
…01001010101000
322110100210002020
413032331022220
5222032023224
620013104440
73002360226
oct716751250
9273323066
10121361064
1162561400
1234788120
131c1b25a6
1412191b16
15a9c3c79
hex73bd2a8

121361064 has 144 divisors (see below), whose sum is σ = 353035200. Its totient is φ = 34731840.

The previous prime is 121361033. The next prime is 121361077. The reversal of 121361064 is 460163121.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1536177 + ... + 1536255.

Almost surely, 2121361064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121361064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176517600).

121361064 is an abundant number, since it is smaller than the sum of its proper divisors (231674136).

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

121361064 is a wasteful number, since it uses less digits than its factorization.

121361064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 121361064 is about 11016.3997748811. The cubic root of 121361064 is about 495.1002266185.

The spelling of 121361064 in words is "one hundred twenty-one million, three hundred sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 79 88 92 121 132 138 158 184 237 242 253 264 276 316 363 474 484 506 529 552 632 726 759 869 948 968 1012 1058 1452 1518 1587 1738 1817 1896 2024 2116 2607 2783 2904 3036 3174 3476 3634 4232 5214 5451 5566 5819 6072 6348 6952 7268 8349 9559 10428 10902 11132 11638 12696 14536 16698 17457 19118 19987 20856 21804 22264 23276 28677 33396 34914 38236 39974 41791 43608 46552 57354 59961 64009 66792 69828 76472 79948 83582 114708 119922 125373 128018 139656 159896 167164 192027 219857 229416 239844 250746 256036 334328 384054 439714 459701 479688 501492 512072 659571 768108 879428 919402 1002984 1319142 1379103 1536216 1758856 1838804 2638284 2758206 3677608 5056711 5276568 5516412 10113422 11032824 15170133 20226844 30340266 40453688 60680532 121361064