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121431000 = 23353172381
BaseRepresentation
bin1110011110011…
…10001111011000
322110111100000110
413033032033120
5222041243000
620014404320
73003101145
oct717161730
9273440013
10121431000
11625a99a9
12348006a0
131c208382
14121ad3cc
15a9d9850
hex73ce3d8

121431000 has 128 divisors (see below), whose sum is σ = 401319360. Its totient is φ = 30464000.

The previous prime is 121430993. The next prime is 121431019. The reversal of 121431000 is 134121.

It is a happy number.

It is a super-2 number, since 2×1214310002 = 29490975522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 49810 + ... + 52190.

Almost surely, 2121431000 is an apocalyptic number.

121431000 is a gapful number since it is divisible by the number (10) 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 121431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200659680).

121431000 is an abundant number, since it is smaller than the sum of its proper divisors (279888360).

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

121431000 is a wasteful number, since it uses less digits than its factorization.

121431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121431000 is about 11019.5734944688. The cubic root of 121431000 is about 495.1953111520.

Adding to 121431000 its reverse (134121), we get a palindrome (121565121).

The spelling of 121431000 in words is "one hundred twenty-one million, four hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2381 2550 3000 3400 4250 4762 5100 6375 7143 8500 9524 10200 11905 12750 14286 17000 19048 23810 25500 28572 35715 40477 47620 51000 57144 59525 71430 80954 95240 119050 121431 142860 161908 178575 202385 238100 242862 285720 297625 323816 357150 404770 476200 485724 595250 607155 714300 809540 892875 971448 1011925 1190500 1214310 1428600 1619080 1785750 2023850 2381000 2428620 3035775 3571500 4047700 4857240 5059625 6071550 7143000 8095400 10119250 12143100 15178875 20238500 24286200 30357750 40477000 60715500 121431000