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12031306235352 = 2332675231476783
BaseRepresentation
bin1010111100010100000110…
…1110111111110111011000
31120121011220102021122012200
42233011001232333313120
53034110103344012402
641331034503210200
72351142661431465
oct257050156776730
946534812248180
1012031306235352
1139194a2794888
1214238b8146960
13693716593ac1
142d84656cc66c
1515ce6656c21c
hexaf141bbfdd8

12031306235352 has 96 divisors (see below), whose sum is σ = 33077519354880. Its totient is φ = 3949814658240.

The previous prime is 12031306235327. The next prime is 12031306235401. The reversal of 12031306235352 is 25353260313021.

12031306235352 is a `hidden beast` number, since 1 + 2 + 0 + 31 + 30 + 62 + 3 + 535 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24995953 + ... + 25472735.

It is an arithmetic number, because the mean of its divisors is an integer number (344557493280).

Almost surely, 212031306235352 is an apocalyptic number.

12031306235352 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 12031306235352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16538759677440).

12031306235352 is an abundant number, since it is smaller than the sum of its proper divisors (21046213119528).

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

12031306235352 is a wasteful number, since it uses less digits than its factorization.

12031306235352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482093 (or 482086 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 12031306235352 its reverse (25353260313021), we get a palindrome (37384566548373).

The spelling of 12031306235352 in words is "twelve trillion, thirty-one billion, three hundred six million, two hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 5231 10462 15693 20924 31386 41848 47079 62772 94158 125544 188316 350477 376632 476783 700954 953566 1051431 1401908 1430349 1907132 2102862 2803816 2860698 3154293 3814264 4205724 4291047 5721396 6308586 8411448 8582094 11442792 12617172 17164188 25234344 31944461 34328376 63888922 95833383 127777844 191666766 255555688 287500149 383333532 575000298 766667064 1150000596 2300001192 2494051873 4988103746 7482155619 9976207492 14964311238 19952414984 22446466857 29928622476 44892933714 59857244952 89785867428 167101475491 179571734856 334202950982 501304426473 668405901964 1002608852946 1336811803928 1503913279419 2005217705892 3007826558838 4010435411784 6015653117676 12031306235352