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20330031012012 = 2233436781645583
BaseRepresentation
bin1001001111101011101000…
…10001101101100010101100
32122222112100211001000021000
410213311310101231202230
510131041400414341022
6111123253132040300
74165540056235161
oct447656421554254
978875324030230
1020330031012012
116528a1055a127
12234411a303090
13b46162a45227
14503d9b99c068
15253c6dc476ac
hex127d7446d8ac

20330031012012 has 96 divisors (see below), whose sum is σ = 53941280476160. Its totient is φ = 6618093491520.

The previous prime is 20330031012001. The next prime is 20330031012061. The reversal of 20330031012012 is 21021013003302.

20330031012012 is a `hidden beast` number, since 2 + 0 + 330 + 0 + 310 + 1 + 20 + 1 + 2 = 666.

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

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, 31168173 + ... + 31813755.

Almost surely, 220330031012012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330031012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26970640238080).

20330031012012 is an abundant number, since it is smaller than the sum of its proper divisors (33611249464148).

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

20330031012012 is a wasteful number, since it uses less digits than its factorization.

20330031012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652420 (or 652412 counting only the distinct ones).

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

Adding to 20330031012012 its reverse (21021013003302), we get a palindrome (41351044015314).

The spelling of 20330031012012 in words is "twenty trillion, three hundred thirty billion, thirty-one million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 6781 13562 20343 27124 40686 61029 81372 122058 183087 244116 291583 366174 583166 645583 732348 874749 1166332 1291166 1749498 1936749 2582332 2624247 3498996 3873498 5248494 5810247 7746996 7872741 10496988 11620494 15745482 17430741 23240988 27760069 31490964 34861482 55520138 69722964 83280207 111040276 166560414 249840621 333120828 499681242 749521863 999362484 1499043726 2998087452 4377698323 8755396646 13133094969 17510793292 26266189938 39399284907 52532379876 78798569814 118197854721 157597139628 188241027889 236395709442 376482055778 472791418884 564723083667 752964111556 1129446167334 1694169251001 2258892334668 3388338502002 5082507753003 6776677004004 10165015506006 20330031012012