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31202234400114 = 23247347106288397
BaseRepresentation
bin1110001100000110101100…
…00110001111110101110010
311002110220102100211011012100
413012003112012033311302
513042204134001300424
6150210035242441230
76400200312234261
oct706032606176562
9132426370734170
1031202234400114
119a3a87a973008
1235bb251203216
1314544869112ab
1479c2a65485d8
15391995c28dc9
hex1c60d618fd72

31202234400114 has 48 divisors (see below), whose sum is σ = 69242214607488. Its totient is φ = 10150116664416.

The previous prime is 31202234400109. The next prime is 31202234400119. The reversal of 31202234400114 is 41100443220213.

31202234400114 is a `hidden beast` number, since 3 + 1 + 20 + 2 + 234 + 400 + 1 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (31202234400109) and next prime (31202234400119).

It is not an unprimeable number, because it can be changed into a prime (31202234400119) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52850637 + ... + 53437760.

It is an arithmetic number, because the mean of its divisors is an integer number (1442546137656).

Almost surely, 231202234400114 is an apocalyptic number.

31202234400114 is an abundant number, since it is smaller than the sum of its proper divisors (38039980207374).

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

31202234400114 is a wasteful number, since it uses less digits than its factorization.

31202234400114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106288799 (or 106288796 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31202234400114 its reverse (41100443220213), we get a palindrome (72302677620327).

The spelling of 31202234400114 in words is "thirty-one trillion, two hundred two billion, two hundred thirty-four million, four hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 47 94 141 282 347 423 694 846 1041 2082 3123 6246 16309 32618 48927 97854 146781 293562 106288397 212576794 318865191 637730382 956595573 1913191146 4995554659 9991109318 14986663977 29973327954 36882073759 44959991931 73764147518 89919983862 110646221277 221292442554 331938663831 663877327662 1733457466673 3466914933346 5200372400019 10400744800038 15601117200057 31202234400114