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1014131120 = 24597130687
BaseRepresentation
bin111100011100100…
…110100110110000
32121200021012100212
4330130212212300
54034104143440
6244344203252
734062654332
oct7434464660
92550235325
101014131120
114804a57a2
12243769528
131321471b2
1498989452
155e073465
hex3c7269b0

1014131120 has 40 divisors (see below), whose sum is σ = 2382180864. Its totient is φ = 401467392.

The previous prime is 1014131093. The next prime is 1014131143. The reversal of 1014131120 is 211314101.

1014131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1014131095 and 1014131104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57584 + ... + 73103.

Almost surely, 21014131120 is an apocalyptic number.

1014131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014131120 is an abundant number, since it is smaller than the sum of its proper divisors (1368049744).

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

1014131120 is a wasteful number, since it uses less digits than its factorization.

1014131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130797 (or 130791 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1014131120 is about 31845.4254171616. The cubic root of 1014131120 is about 1004.6883582788.

Adding to 1014131120 its reverse (211314101), we get a palindrome (1225445221).

The spelling of 1014131120 in words is "one billion, fourteen million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 130687 261374 522748 653435 1045496 1306870 2090992 2613740 5227480 10454960 12676639 25353278 50706556 63383195 101413112 126766390 202826224 253532780 507065560 1014131120