Search a number
-
+
1020001220992 = 27135910389517
BaseRepresentation
bin11101101011111001100…
…11110111100110000000
310121111210122020201121201
432311330303313212000
5113202430303032432
62100325422030544
7133456403216455
oct16657463674600
93544718221551
101020001220992
113636421092a6
12145824418454
1375254cb0150
143752296982c
151b7ec673ee7
hexed7ccf7980

1020001220992 has 64 divisors (see below), whose sum is σ = 2225434755600. Its totient is φ = 462790600704.

The previous prime is 1020001220963. The next prime is 1020001220999. The reversal of 1020001220992 is 2990221000201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1020001220992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020001220999) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5096583 + ... + 5292934.

Almost surely, 21020001220992 is an apocalyptic number.

It is an amenable number.

1020001220992 is an abundant number, since it is smaller than the sum of its proper divisors (1205433534608).

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

1020001220992 is a wasteful number, since it uses less digits than its factorization.

1020001220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10389603 (or 10389591 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 1020001220992 in words is "one trillion, twenty billion, one million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 128 208 236 416 472 767 832 944 1534 1664 1888 3068 3776 6136 7552 12272 24544 49088 98176 10389517 20779034 41558068 83116136 135063721 166232272 270127442 332464544 540254884 612981503 664929088 1080509768 1225963006 1329858176 2161019536 2451926012 4322039072 4903852024 7968759539 8644078144 9807704048 15937519078 17288156288 19615408096 31875038156 39230816192 63750076312 78461632384 127500152624 255000305248 510000610496 1020001220992