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13203114012 = 22321161619883
BaseRepresentation
bin11000100101111011…
…11000100000011100
31021002010222200111200
430102331320200130
5204014444122022
610022044315500
7645120421524
oct142275704034
937063880450
1013203114012
1156658a4a80
122685842b90
1313254a94ca
148d371c684
155241c3bac
hex312f7881c

13203114012 has 144 divisors (see below), whose sum is σ = 37107208320. Its totient is φ = 3924547200.

The previous prime is 13203114007. The next prime is 13203114017. The reversal of 13203114012 is 21041130231.

It is an interprime number because it is at equal distance from previous prime (13203114007) and next prime (13203114017).

It is a super-2 number, since 2×132031140122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13203114017) 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, 14952123 + ... + 14953005.

Almost surely, 213203114012 is an apocalyptic number.

13203114012 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 13203114012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18553604160).

13203114012 is an abundant number, since it is smaller than the sum of its proper divisors (23904094308).

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

13203114012 is a wasteful number, since it uses less digits than its factorization.

13203114012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13203114012 its reverse (21041130231), we get a palindrome (34244244243).

The spelling of 13203114012 in words is "thirteen billion, two hundred three million, one hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 549 619 671 732 883 1098 1238 1342 1766 1857 2013 2196 2476 2649 2684 3532 3714 4026 5298 5571 6039 6809 7428 7947 8052 9713 10596 11142 12078 13618 15894 19426 20427 22284 24156 27236 29139 31788 37759 38852 40854 53863 58278 61281 75518 81708 87417 107726 113277 116556 122562 151036 161589 174834 215452 226554 245124 323178 339831 349668 415349 453108 484767 546577 592493 646356 679662 830698 969534 1093154 1184986 1246047 1359324 1639731 1661396 1777479 1939068 2186308 2369972 2492094 3279462 3554958 3738141 4919193 4984188 5332437 6012347 6558924 7109916 7476282 9838386 10664874 12024694 14952564 18037041 19676772 21329748 24049388 33341197 36074082 54111123 66682394 72148164 100023591 108222246 133364788 200047182 216444492 300070773 366753167 400094364 600141546 733506334 1100259501 1200283092 1467012668 2200519002 3300778503 4401038004 6601557006 13203114012