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12031002031302 = 2334347891081919
BaseRepresentation
bin1010111100010010111110…
…0110100011010011000110
31120121011010012212110201000
42233010233212203103012
53034103443010000202
641330544355114130
72351132305642302
oct257045746432306
946534105773630
1012031002031302
113919356aa9881
1214238322a2946
136936985535c7
142d8437142d02
1515ce499cc91c
hexaf12f9a34c6

12031002031302 has 64 divisors (see below), whose sum is σ = 27363055104000. Its totient is φ = 3916248878304.

The previous prime is 12031002031271. The next prime is 12031002031333. The reversal of 12031002031302 is 20313020013021.

12031002031302 is a `hidden beast` number, since 1 + 2 + 0 + 310 + 0 + 20 + 31 + 302 = 666.

It is an interprime number because it is at equal distance from previous prime (12031002031271) and next prime (12031002031333).

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

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, 10579099 + ... + 11661017.

It is an arithmetic number, because the mean of its divisors is an integer number (427547736000).

Almost surely, 212031002031302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031002031302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13681527552000).

12031002031302 is an abundant number, since it is smaller than the sum of its proper divisors (15332053072698).

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

12031002031302 is a wasteful number, since it uses less digits than its factorization.

12031002031302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086762 (or 1086756 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12031002031302 its reverse (20313020013021), we get a palindrome (32344022044323).

The spelling of 12031002031302 in words is "twelve trillion, thirty-one billion, two million, thirty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 4789 9578 14367 28734 43101 86202 129303 205927 258606 411854 617781 1081919 1235562 1853343 2163838 3245757 3706686 5560029 6491514 9737271 11120058 19474542 29211813 46522517 58423626 93045034 139567551 279135102 418702653 837405306 1256107959 2512215918 5181310091 10362620182 15543930273 31087860546 46631790819 93263581638 139895372457 222796333913 279790744914 445592667826 668389001739 1336778003478 2005167005217 4010334010434 6015501015651 12031002031302