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132031544144052 = 2237103111713661803
BaseRepresentation
bin11110000001010011111101…
…010010011011000010110100
3122022111002111022201200112110
4132001103331102123002310
5114301201100300102202
61144450242023251020
736544651514051220
oct3601237522330264
9568432438650473
10132031544144052
1139084299683353
1212984720ba9a70
1358896a108b747
14248650a1ab780
15103e69ba1926c
hex7814fd49b0b4

132031544144052 has 96 divisors (see below), whose sum is σ = 355820701530112. Its totient is φ = 37323605886336.

The previous prime is 132031544144039. The next prime is 132031544144099. The reversal of 132031544144052 is 250441445130231.

It is a self number, because there is not a number n which added to its sum of digits gives 132031544144052.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2833383 + ... + 16495185.

Almost surely, 2132031544144052 is an apocalyptic number.

132031544144052 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 132031544144052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177910350765056).

132031544144052 is an abundant number, since it is smaller than the sum of its proper divisors (223789157386060).

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

132031544144052 is a wasteful number, since it uses less digits than its factorization.

132031544144052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13663037 (or 13663035 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 132031544144052 its reverse (250441445130231), we get a palindrome (382472989274283).

The spelling of 132031544144052 in words is "one hundred thirty-two trillion, thirty-one billion, five hundred forty-four million, one hundred forty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 1117 1236 1442 2163 2234 2884 3351 4326 4468 6702 7819 8652 13404 15638 23457 31276 46914 93828 115051 230102 345153 460204 690306 805357 1380612 1610714 2416071 3221428 4832142 9664284 13661803 27323606 40985409 54647212 81970818 95632621 163941636 191265242 286897863 382530484 573795726 1147591452 1407165709 2814331418 4221497127 5628662836 8442994254 9850159963 15260233951 16885988508 19700319926 29550479889 30520467902 39400639852 45780701853 59100959778 61040935804 91561403706 106821637657 118201919556 183122807412 213643275314 320464912971 427286550628 640929825942 1281859651884 1571804096953 3143608193906 4715412290859 6287216387812 9430824581718 11002628678671 18861649163436 22005257357342 33007886036013 44010514714684 66015772072026 132031544144052