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1001112019984 = 241711933085129
BaseRepresentation
bin11101001000101101110…
…11010010010000010000
310112201001012212220010101
432210112323102100100
5112400234134114414
62043523212542144
7132220326523546
oct16442673222020
93481035786111
101001112019984
113566296aaa7a
12142032481954
137353479762b
143664ddd3d96
151b0941c3a74
hexe916ed2410

1001112019984 has 40 divisors (see below), whose sum is σ = 2055474032760. Its totient is φ = 470716489728.

The previous prime is 1001112019979. The next prime is 1001112020009. The reversal of 1001112019984 is 4899102111001.

It can be written as a sum of positive squares in 4 ways, for example, as 583573766400 + 417538253584 = 763920^2 + 646172^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1218069 + ... + 1867060.

It is an arithmetic number, because the mean of its divisors is an integer number (51386850819).

Almost surely, 21001112019984 is an apocalyptic number.

It is an amenable number.

1001112019984 is an abundant number, since it is smaller than the sum of its proper divisors (1054362012776).

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

1001112019984 is a wasteful number, since it uses less digits than its factorization.

1001112019984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086347 (or 3086341 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 37.

The spelling of 1001112019984 in words is "one trillion, one billion, one hundred twelve million, nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 1193 2386 4772 9544 19088 20281 40562 81124 162248 324496 3085129 6170258 12340516 24681032 49362064 52447193 104894386 209788772 419577544 839155088 3680558897 7361117794 14722235588 29444471176 58888942352 62569501249 125139002498 250278004996 500556009992 1001112019984