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121345132410 = 232531160927031
BaseRepresentation
bin111000100000010111…
…0111100011101111010
3102121012202021102021100
41301000232330131322
53442003323214120
6131424543152230
711524021415145
oct1610056743572
9377182242240
10121345132410
114750a188aa7
121b6262a5676
13b59aa94cc8
145c31c5505c
15325310d490
hex1c40bbc77a

121345132410 has 96 divisors (see below), whose sum is σ = 325889141760. Its totient is φ = 31294252800.

The previous prime is 121345132409. The next prime is 121345132411. The reversal of 121345132410 is 14231543121.

121345132410 is a `hidden beast` number, since 1 + 2 + 134 + 513 + 2 + 4 + 10 = 666.

121345132410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121345132409) and next prime (121345132411).

It is not an unprimeable number, because it can be changed into a prime (121345132411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4475595 + ... + 4502625.

It is an arithmetic number, because the mean of its divisors is an integer number (3394678560).

Almost surely, 2121345132410 is an apocalyptic number.

121345132410 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 121345132410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162944570880).

121345132410 is an abundant number, since it is smaller than the sum of its proper divisors (204544009350).

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

121345132410 is a wasteful number, since it uses less digits than its factorization.

121345132410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28684 (or 28681 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 121345132410 its reverse (14231543121), we get a palindrome (135576675531).

The spelling of 121345132410 in words is "one hundred twenty-one billion, three hundred forty-five million, one hundred thirty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 1609 2790 3218 4827 8045 9654 14481 16090 24135 27031 28962 48270 49879 54062 72405 81093 99758 135155 144810 149637 162186 243279 249395 270310 299274 405465 448911 486558 498790 748185 810930 837961 897822 1216395 1496370 1675922 2244555 2432790 2513883 4189805 4489110 5027766 7541649 8379610 12569415 15083298 25138830 37708245 43492879 75416490 86985758 130478637 217464395 260957274 391435911 434928790 652393185 782871822 1304786370 1348279249 1957179555 2696558498 3914359110 4044837747 6741396245 8089675494 12134513241 13482792490 20224188735 24269026482 40448377470 60672566205 121345132410