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14211133125 = 35473191163
BaseRepresentation
bin11010011110000110…
…01010111011000101
31100200101202100202220
431033003022323011
5213101022230000
610310053522553
71012110432000
oct151703127305
940611670686
1014211133125
1160328a5722
122907343459
131456293717
1498b556537
1558293b1a0
hex34f0caec5

14211133125 has 160 divisors (see below), whose sum is σ = 29090688000. Its totient is φ = 6149304000.

The previous prime is 14211133099. The next prime is 14211133127. The reversal of 14211133125 is 52133111241.

It is not a de Polignac number, because 14211133125 - 26 = 14211133061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14211133095 and 14211133104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14211133127) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12218794 + ... + 12219956.

It is an arithmetic number, because the mean of its divisors is an integer number (181816800).

Almost surely, 214211133125 is an apocalyptic number.

14211133125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14211133125 is an abundant number, since it is smaller than the sum of its proper divisors (14879554875).

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

14211133125 is an equidigital number, since it uses as much as digits as its factorization.

14211133125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1197 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

Adding to 14211133125 its reverse (52133111241), we get a palindrome (66344244366).

The spelling of 14211133125 in words is "fourteen billion, two hundred eleven million, one hundred thirty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 25 35 49 57 75 95 105 125 133 147 175 245 285 343 375 399 475 525 625 665 735 875 931 1029 1163 1225 1425 1715 1875 1995 2375 2625 2793 3325 3489 3675 4375 4655 5145 5815 6125 6517 7125 8141 8575 9975 11875 13125 13965 16625 17445 18375 19551 22097 23275 24423 25725 29075 30625 32585 35625 40705 42875 49875 56987 66291 69825 83125 87225 91875 97755 110485 116375 122115 128625 145375 154679 162925 170961 203525 214375 249375 284935 331455 349125 398909 436125 464037 488775 552425 581875 610575 643125 726875 773395 814625 854805 1017625 1082753 1196727 1424675 1657275 1745625 1994545 2180625 2320185 2443875 2762125 3052875 3248259 3866975 4073125 4274025 5088125 5413765 5983635 7123375 7579271 8286375 9972725 11600925 12219375 13810625 15264375 16241295 19334875 21370125 22737813 27068825 29918175 35616875 37896355 41431875 49863625 58004625 81206475 96674375 106850625 113689065 135344125 149590875 189481775 249318125 290023125 406032375 568445325 676720625 747954375 947408875 2030161875 2842226625 4737044375 14211133125