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31200030344032 = 25114314897138371
BaseRepresentation
bin1110001100000010100101…
…01110011100001101100000
311002110200201202111111122121
413012001102232130031200
513042140130232002112
6150205032430114024
76400061560122634
oct706012256341540
9132420652444577
1031200030344032
119a39949823060
1235ba93704b914
1314541c50bc6b4
1479c137932dc4
153918b74aa407
hex1c6052b9c360

31200030344032 has 96 divisors (see below), whose sum is σ = 68572606886784. Its totient is φ = 13850991974400.

The previous prime is 31200030344027. The next prime is 31200030344069. The reversal of 31200030344032 is 23044303000213.

It is a junction number, because it is equal to n+sod(n) for n = 31200030343988 and 31200030344006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225411807 + ... + 225550177.

It is an arithmetic number, because the mean of its divisors is an integer number (714297988404).

Almost surely, 231200030344032 is an apocalyptic number.

31200030344032 is a gapful number since it is divisible by the number (32) 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 31200030344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34286303443392).

31200030344032 is an abundant number, since it is smaller than the sum of its proper divisors (37372576542752).

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

31200030344032 is a wasteful number, since it uses less digits than its factorization.

31200030344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153332 (or 153324 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 31200030344032 its reverse (23044303000213), we get a palindrome (54244333344245).

The spelling of 31200030344032 in words is "thirty-one trillion, two hundred billion, thirty million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 7568 14897 15136 29794 59588 119176 138371 163867 238352 276742 327734 476704 553484 640571 655468 1106968 1281142 1310936 1522081 2213936 2562284 2621872 3044162 4427872 5124568 5243744 5949953 6088324 7046281 10249136 11899906 12176648 14092562 20498272 23799812 24353296 28185124 47599624 48706592 56370248 65449483 95199248 112740496 130898966 190398496 225480992 261797932 523595864 1047191728 2061312787 2094383456 4122625574 8245251148 16490502296 22674440657 32981004592 45348881314 65962009184 88636449841 90697762628 177272899682 181395525256 354545799364 362791050512 709091598728 725582101024 975000948251 1418183197456 1950001896502 2836366394912 3900003793004 7800007586008 15600015172016 31200030344032