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121431313430 = 25722937230959
BaseRepresentation
bin111000100010111011…
…1101100110000010110
3102121102202102212101222
41301011313230300112
53442142404012210
6131441302250342
711526116063600
oct1610567546026
9377382385358
10121431313430
11475538a1089
121b64b1269b2
13b5b28aa8ab
145c3d48a170
15325a983655
hex1c45decc16

121431313430 has 96 divisors (see below), whose sum is σ = 270140054400. Its totient is φ = 39111351552.

The previous prime is 121431313397. The next prime is 121431313439. The reversal of 121431313430 is 34313134121.

It is a self number, because there is not a number n which added to its sum of digits gives 121431313430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121431313439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410291 + ... + 641249.

It is an arithmetic number, because the mean of its divisors is an integer number (2813958900).

Almost surely, 2121431313430 is an apocalyptic number.

121431313430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121431313430 is an abundant number, since it is smaller than the sum of its proper divisors (148708740970).

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

121431313430 is a wasteful number, since it uses less digits than its factorization.

121431313430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231046 (or 231039 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 121431313430 its reverse (34313134121), we get a palindrome (155744447551).

The spelling of 121431313430 in words is "one hundred twenty-one billion, four hundred thirty-one million, three hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 37 49 58 70 74 98 145 185 203 245 259 290 370 406 490 518 1015 1073 1295 1421 1813 2030 2146 2590 2842 3626 5365 7105 7511 9065 10730 14210 15022 18130 37555 52577 75110 105154 230959 262885 461918 525770 1154795 1616713 2309590 3233426 6697811 8083565 8545483 11316991 13395622 16167130 17090966 22633982 33489055 42727415 46884677 56584955 59818381 66978110 85454830 93769354 113169910 119636762 234423385 247819007 299091905 328192739 418728667 468846770 495638014 598183810 656385478 837457334 1239095035 1640963695 1734733049 2093643335 2478190070 3281927390 3469466098 4187286670 8673665245 12143131343 17347330490 24286262686 60715656715 121431313430