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121255290 = 232513372801
BaseRepresentation
bin1110011101000…
…11010101111010
322110011101222200
413032203111322
5222020132130
620010531030
73001436652
oct716432572
9273141880
10121255290
1162499992
1234736a76
131c1763c0
1412165362
15a9a2760
hex73a357a

121255290 has 96 divisors (see below), whose sum is σ = 348815376. Its totient is φ = 29030400.

The previous prime is 121255279. The next prime is 121255301. The reversal of 121255290 is 92552121.

121255290 is a `hidden beast` number, since 1 + 21 + 2 + 552 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (121255279) and next prime (121255301).

It can be written as a sum of positive squares in 8 ways, for example, as 56565441 + 64689849 = 7521^2 + 8043^2 .

It is a super-3 number, since 3×1212552903 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

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, 41890 + ... + 44690.

Almost surely, 2121255290 is an apocalyptic number.

121255290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121255290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174407688).

121255290 is an abundant number, since it is smaller than the sum of its proper divisors (227560086).

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

121255290 is a wasteful number, since it uses less digits than its factorization.

121255290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 121255290 is about 11011.5979766790. The cubic root of 121255290 is about 494.9563475433.

The spelling of 121255290 in words is "one hundred twenty-one million, two hundred fifty-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 37 39 45 65 74 78 90 111 117 130 185 195 222 234 333 370 390 481 555 585 666 962 1110 1170 1443 1665 2405 2801 2886 3330 4329 4810 5602 7215 8403 8658 14005 14430 16806 21645 25209 28010 36413 42015 43290 50418 72826 84030 103637 109239 126045 182065 207274 218478 252090 310911 327717 364130 518185 546195 621822 655434 932733 1036370 1092390 1347281 1554555 1638585 1865466 2694562 3109110 3277170 4041843 4663665 6736405 8083686 9327330 12125529 13472810 20209215 24251058 40418430 60627645 121255290