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1002200020000 = 255482360887
BaseRepresentation
bin11101001010101111100…
…01101011010000100000
310112210212001011000120021
432211113301223100200
5112410001201120000
62044223200323224
7132256310420344
oct16452761532040
93483761130507
101002200020000
11357037869543
12142296913514
137367900631a
14367146cb624
151b10998911a
hexe957c6b420

1002200020000 has 120 divisors (see below), whose sum is σ = 2468598745536. Its totient is φ = 400386336000.

The previous prime is 1002200019979. The next prime is 1002200020021. The reversal of 1002200020000 is 200022001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1002200019979) and next prime (1002200020021).

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 19 ways as a sum of consecutive naturals, for example, 16429557 + ... + 16490443.

Almost surely, 21002200020000 is an apocalyptic number.

1002200020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002200020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234299372768).

1002200020000 is an abundant number, since it is smaller than the sum of its proper divisors (1466398725536).

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

1002200020000 is an frugal number, since it uses more digits than its factorization.

1002200020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61740 (or 61717 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 1002200020000 its reverse (200022001), we get a palindrome (1002400042001).

The spelling of 1002200020000 in words is "one trillion, two billion, two hundred million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 823 1000 1250 1646 2000 2500 3292 4000 4115 5000 6584 8230 10000 13168 16460 20000 20575 26336 32920 41150 60887 65840 82300 102875 121774 131680 164600 205750 243548 304435 329200 411500 487096 514375 608870 658400 823000 974192 1028750 1217740 1522175 1646000 1948384 2057500 2435480 3044350 3292000 4115000 4870960 6088700 7610875 8230000 9741920 12177400 15221750 16460000 24354800 30443500 38054375 48709600 50110001 60887000 76108750 100220002 121774000 152217500 200440004 243548000 250550005 304435000 400880008 501100010 608870000 801760016 1002200020 1217740000 1252750025 1603520032 2004400040 2505500050 4008800080 5011000100 6263750125 8017600160 10022000200 12527500250 20044000400 25055000500 31318750625 40088000800 50110001000 62637501250 100220002000 125275002500 200440004000 250550005000 501100010000 1002200020000