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121703148 = 2235731577
BaseRepresentation
bin1110100000100…
…00101011101100
322111000011100000
413100100223230
5222124000043
620024304300
73005313450
oct720205354
9274004300
10121703148
1162775416
1234912090
131c2a21c8
1412240660
15aa402d3
hex7410aec

121703148 has 144 divisors (see below), whose sum is σ = 377022464. Its totient is φ = 33592320.

The previous prime is 121703137. The next prime is 121703161. The reversal of 121703148 is 841307121.

It is a super-3 number, since 3×1217031483 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210636 + ... + 211212.

Almost surely, 2121703148 is an apocalyptic number.

121703148 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 121703148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188511232).

121703148 is an abundant number, since it is smaller than the sum of its proper divisors (255319316).

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

121703148 is a wasteful number, since it uses less digits than its factorization.

121703148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 121703148 is about 11031.9149742916. The cubic root of 121703148 is about 495.5649747480.

The spelling of 121703148 in words is "one hundred twenty-one million, seven hundred three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 243 252 279 324 372 378 434 486 558 567 577 651 756 837 868 972 1116 1134 1154 1302 1674 1701 1731 1953 2268 2308 2511 2604 3348 3402 3462 3906 4039 5022 5193 5859 6804 6924 7533 7812 8078 10044 10386 11718 12117 15066 15579 16156 17577 17887 20772 23436 24234 30132 31158 35154 35774 36351 46737 48468 52731 53661 62316 70308 71548 72702 93474 105462 107322 109053 125209 140211 145404 160983 186948 210924 214644 218106 250418 280422 321966 327159 375627 436212 482949 500836 560844 643932 654318 751254 965898 981477 1126881 1308636 1448847 1502508 1931796 1962954 2253762 2897694 3380643 3925908 4346541 4507524 5795388 6761286 8693082 10141929 13522572 17386164 20283858 30425787 40567716 60851574 121703148