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2131000144 = 247131463599
BaseRepresentation
bin111111100000100…
…0111101101010000
312111111212000122021
41333001013231100
513331014001034
6551242421224
7103544126260
oct17701075520
95444760567
102131000144
119a3991a49
124b5801814
1327c653140
141630397a0
15c713c6b4
hex7f047b50

2131000144 has 40 divisors (see below), whose sum is σ = 5081619200. Its totient is φ = 843032448.

The previous prime is 2131000129. The next prime is 2131000147. The reversal of 2131000144 is 4410001312.

It is a super-2 number, since 2×21310001442 = 9082323227456041472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131000147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 730344 + ... + 733255.

It is an arithmetic number, because the mean of its divisors is an integer number (127040480).

Almost surely, 22131000144 is an apocalyptic number.

It is an amenable number.

2131000144 is an abundant number, since it is smaller than the sum of its proper divisors (2950619056).

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

2131000144 is a wasteful number, since it uses less digits than its factorization.

2131000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463627 (or 1463621 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2131000144 is about 46162.7571100341. The cubic root of 2131000144 is about 1286.8497021267.

Adding to 2131000144 its reverse (4410001312), we get a palindrome (6541001456).

The spelling of 2131000144 in words is "two billion, one hundred thirty-one million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 1463599 2927198 5854396 10245193 11708792 19026787 20490386 23417584 38053574 40980772 76107148 81961544 133187509 152214296 163923088 266375018 304428592 532750036 1065500072 2131000144