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2130012020032 = 261324109106189
BaseRepresentation
bin11110111111101110100…
…111000001110101000000
321112121221012101202222021
4132333232213001311000
5234344231034120112
64310303005451224
7306613453304161
oct36775647016500
97477835352867
102130012020032
1175137328a826
122a4988870b14
13125b22a87040
14751437a7768
153a616e17907
hex1efee9c1d40

2130012020032 has 56 divisors (see below), whose sum is σ = 4552108320200. Its totient is φ = 983032436736.

The previous prime is 2130012020027. The next prime is 2130012020069. The reversal of 2130012020032 is 2300202100312.

It can be written as a sum of positive squares in 4 ways, for example, as 46770117696 + 2083241902336 = 216264^2 + 1443344^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2130012019988 and 2130012020015.

It is a congruent number.

It is an unprimeable number.

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, 20005594 + ... + 20111782.

It is an arithmetic number, because the mean of its divisors is an integer number (81287648575).

Almost surely, 22130012020032 is an apocalyptic number.

It is an amenable number.

2130012020032 is an abundant number, since it is smaller than the sum of its proper divisors (2422096300168).

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

2130012020032 is a wasteful number, since it uses less digits than its factorization.

2130012020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130323 (or 130313 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2130012020032 its reverse (2300202100312), we get a palindrome (4430214120344).

The spelling of 2130012020032 in words is "two trillion, one hundred thirty billion, twelve million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 24109 48218 96436 106189 192872 212378 313417 385744 424756 626834 771488 849512 1253668 1380457 1542976 1699024 2507336 2760914 3398048 5014672 5521828 6796096 10029344 11043656 20058688 22087312 44174624 88349248 2560110601 5120221202 10240442404 20480884808 33281437813 40961769616 66562875626 81923539232 133125751252 163847078464 266251502504 532503005008 1065006010016 2130012020032