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13131310212 = 22323137487653
BaseRepresentation
bin11000011101010111…
…11110010010000100
31020220010212200012200
430032223332102010
5203343103411322
610011001314500
7643256203146
oct141653762204
936803780180
1013131310212
115629311799
122665795a30
131313658957
148c7d8ac96
1551cc3d8ac
hex30eafe484

13131310212 has 144 divisors (see below), whose sum is σ = 35316083712. Its totient is φ = 4106661120.

The previous prime is 13131310211. The next prime is 13131310217. The reversal of 13131310212 is 21201313131.

13131310212 is a `hidden beast` number, since 13 + 131 + 310 + 212 = 666.

13131310212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13131310211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20108878 + ... + 20109530.

Almost surely, 213131310212 is an apocalyptic number.

13131310212 is a gapful number since it is divisible by the number (12) 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 13131310212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658041856).

13131310212 is an abundant number, since it is smaller than the sum of its proper divisors (22184773500).

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

13131310212 is a wasteful number, since it uses less digits than its factorization.

13131310212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13131310212 its reverse (21201313131), we get a palindrome (34332623343).

The spelling of 13131310212 in words is "thirteen billion, one hundred thirty-one million, three hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 444 487 558 653 666 974 1116 1147 1306 1332 1461 1948 1959 2294 2612 2922 3441 3918 4383 4588 5844 5877 6882 7836 8766 10323 11754 13764 15097 17532 18019 20243 20646 23508 24161 30194 36038 40486 41292 45291 48322 54057 60388 60729 72076 72483 80972 90582 96644 108114 121458 135873 144966 162171 181164 182187 216228 217449 242916 271746 289932 318011 324342 364374 434898 543492 558589 636022 648684 728748 748991 869796 954033 1117178 1272044 1497982 1675767 1908066 2234356 2246973 2862099 2995964 3351534 3816132 4493946 5027301 5724198 6703068 6740919 8987892 9858341 10054602 11448396 11766407 13481838 19716682 20109204 23532814 26963676 29575023 35299221 39433364 47065628 59150046 70598442 88725069 105897663 118300092 141196884 177450138 211795326 354900276 364758617 423590652 729517234 1094275851 1459034468 2188551702 3282827553 4377103404 6565655106 13131310212