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1002123221130 = 232514737755561
BaseRepresentation
bin11101001010100110011…
…00101101100010001010
310112210122200122020022200
432211103030231202022
5112404322021034010
62044211414301030
7132254355556053
oct16452314554212
93483580566280
101002123221130
11356aa84843a9
12142275057776
1373666126cc5
143670841972a
151b102d68cc0
hexe95332d88a

1002123221130 has 48 divisors (see below), whose sum is σ = 2605700624904. Its totient is φ = 267214371840.

The previous prime is 1002123221101. The next prime is 1002123221173. The reversal of 1002123221130 is 311223212001.

1002123221130 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 322 + 1 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 992189311569 + 9933909561 = 996087^2 + 99669^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 948550 + ... + 1704110.

Almost surely, 21002123221130 is an apocalyptic number.

1002123221130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002123221130 is an abundant number, since it is smaller than the sum of its proper divisors (1603577403774).

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

1002123221130 is a wasteful number, since it uses less digits than its factorization.

1002123221130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770311 (or 770308 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1002123221130 its reverse (311223212001), we get a palindrome (1313346433131).

The spelling of 1002123221130 in words is "one trillion, two billion, one hundred twenty-three million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 14737 29474 44211 73685 88422 132633 147370 221055 265266 442110 663165 755561 1326330 1511122 2266683 3777805 4533366 6800049 7555610 11333415 13600098 22666830 34000245 68000490 11134702457 22269404914 33404107371 55673512285 66808214742 100212322113 111347024570 167020536855 200424644226 334041073710 501061610565 1002123221130