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10311200231310 = 23251110415353769
BaseRepresentation
bin1001011000001100001101…
…1011010100111110001110
31100111202000021100222112100
42112003003123110332032
52322414314224400220
633532522222015530
72112650103562356
oct226030333247616
940452007328470
1010311200231310
113315a56799930
1211a64681175a6
1359a45a51a124
142790c9983b66
1512d340a43d90
hex960c36d4f8e

10311200231310 has 48 divisors (see below), whose sum is σ = 29246313386160. Its totient is φ = 2499684904320.

The previous prime is 10311200231237. The next prime is 10311200231317. The reversal of 10311200231310 is 1313200211301.

10311200231310 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 120 + 0 + 231 + 310 = 666.

10311200231310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103112002313102 (a number of 27 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 (10311200231317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5207675895 + ... + 5207677874.

It is an arithmetic number, because the mean of its divisors is an integer number (609298195545).

Almost surely, 210311200231310 is an apocalyptic number.

10311200231310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10311200231310 is an abundant number, since it is smaller than the sum of its proper divisors (18935113154850).

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

10311200231310 is a wasteful number, since it uses less digits than its factorization.

10311200231310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10415353793 (or 10415353790 counting only the distinct ones).

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

Adding to 10311200231310 its reverse (1313200211301), we get a palindrome (11624400442611).

The spelling of 10311200231310 in words is "ten trillion, three hundred eleven billion, two hundred million, two hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 10415353769 20830707538 31246061307 52076768845 62492122614 93738183921 104153537690 114568891459 156230306535 187476367842 229137782918 312460613070 343706674377 468690919605 572844457295 687413348754 937381839210 1031120023131 1145688914590 1718533371885 2062240046262 3437066743770 5155600115655 10311200231310