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121442311133 = 1113253972131
BaseRepresentation
bin111000100011010000…
…1101001101111011101
3102121110112010121102022
41301012201221233131
53442203212424013
6131442334105525
711526311420063
oct1610641515735
9377415117368
10121442311133
114755a0228a0
121b65294b2a5
13b5b4c5b600
145c40b10033
15325b907008
hex1c46869bdd

121442311133 has 72 divisors (see below), whose sum is σ = 148813907616. Its totient is φ = 98200627200.

The previous prime is 121442311127. The next prime is 121442311157. The reversal of 121442311133 is 331113244121.

It is not a de Polignac number, because 121442311133 - 210 = 121442310109 is a prime.

It is a super-3 number, since 3×1214423111333 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121442317133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 927040478 + ... + 927040608.

It is an arithmetic number, because the mean of its divisors is an integer number (2066859828).

Almost surely, 2121442311133 is an apocalyptic number.

121442311133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121442311133 is a deficient number, since it is larger than the sum of its proper divisors (27371596483).

121442311133 is a wasteful number, since it uses less digits than its factorization.

121442311133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 305 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

Adding to 121442311133 its reverse (331113244121), we get a palindrome (452555555254).

The spelling of 121442311133 in words is "one hundred twenty-one billion, four hundred forty-two million, three hundred eleven thousand, one hundred thirty-three".

Divisors: 1 11 13 53 97 131 143 169 583 689 1067 1261 1441 1703 1859 5141 6943 7579 8957 9409 12707 13871 16393 18733 22139 56551 66833 76373 90259 98527 103499 122317 139777 165191 180323 243529 498677 673471 735163 868829 992849 1173367 1232579 1345487 1590121 1817101 2147483 5485447 6482801 7408181 8755123 9557119 12907037 13558369 16023527 17491331 23622313 65326687 71310811 84276413 96306353 113816599 176258797 208305851 718593557 849246931 927040543 1251982589 2291364361 9341716241 11040210103 121442311133