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2131000032 = 25373171131
BaseRepresentation
bin111111100000100…
…0111101011100000
312111111212000111010
41333001013223200
513331014000112
6551242420520
7103544126040
oct17701075340
95444760433
102131000032
119a3991957
124b5801740
1327c653085
14163039720
15c713c63c
hex7f047ae0

2131000032 has 48 divisors (see below), whose sum is σ = 6393002112. Its totient is φ = 608856960.

The previous prime is 2131000019. The next prime is 2131000049. The reversal of 2131000032 is 2300001312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21310000322 = 9082322272768002048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2130999981 and 2131000017.

It is a congruent number.

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, 1584894 + ... + 1586237.

It is an arithmetic number, because the mean of its divisors is an integer number (133187544).

Almost surely, 22131000032 is an apocalyptic number.

It is an amenable number.

2131000032 is an abundant number, since it is smaller than the sum of its proper divisors (4262002080).

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

2131000032 is a wasteful number, since it uses less digits than its factorization.

2131000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171151 (or 3171143 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2131000032 is about 46162.7558969349. The cubic root of 2131000032 is about 1286.8496795821.

Adding to 2131000032 its reverse (2300001312), we get a palindrome (4431001344).

The spelling of 2131000032 in words is "two billion, one hundred thirty-one million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3171131 6342262 9513393 12684524 19026786 22197917 25369048 38053572 44395834 50738096 66593751 76107144 88791668 101476192 133187502 152214288 177583336 266375004 304428576 355166672 532750008 710333344 1065500016 2131000032