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1000003431042 = 2327112129338893
BaseRepresentation
bin11101000110101001101…
…10010110101010000010
310112121011221212201222200
432203110312112222002
5112341001334243132
62043221212014030
7132151005626040
oct16432466265202
93477157781880
101000003431042
1135610a959770
12141983161316
13733b8bca445
1436586a9b390
151b02bbe2d7c
hexe8d4d96a82

1000003431042 has 96 divisors (see below), whose sum is σ = 2702584759680. Its totient is φ = 259618383360.

The previous prime is 1000003431019. The next prime is 1000003431061. The reversal of 1000003431042 is 2401343000001.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2781348 + ... + 3120240.

It is an arithmetic number, because the mean of its divisors is an integer number (28151924580).

Almost surely, 21000003431042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000003431042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351292379840).

1000003431042 is an abundant number, since it is smaller than the sum of its proper divisors (1702581328638).

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

1000003431042 is a wasteful number, since it uses less digits than its factorization.

1000003431042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341048 (or 341045 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1000003431042 its reverse (2401343000001), we get a palindrome (3401346431043).

The spelling of 1000003431042 in words is "one trillion, three million, four hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 2129 4258 6387 12774 14903 19161 23419 29806 38322 44709 46838 70257 89418 134127 140514 163933 210771 268254 327866 338893 421542 491799 677786 983598 1016679 1475397 2033358 2372251 2950794 3050037 3727823 4744502 6100074 7116753 7455646 11183469 14233506 21350259 22366938 26094761 33550407 42700518 52189522 67100814 78284283 156568566 234852849 469705698 721503197 1443006394 2164509591 4329019182 5050522379 6493528773 7936535167 10101044758 12987057546 15151567137 15873070334 23809605501 30303134274 45454701411 47619211002 55555746169 71428816503 90909402822 111111492338 142857633006 166667238507 333334477014 500001715521 1000003431042