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20212002211000 = 2353257160149123
BaseRepresentation
bin1001001100001111110010…
…01101100100010010111000
32122120020201012000200102111
410212013321031210102320
510122123140031223000
6110553133213142104
74154161154051455
oct446077115442270
978506635020374
1020212002211000
11649295335aa86
12232527a78a934
13b37ca305cbc2
144dc3a237482c
15250b61d65cba
hex1261f93644b8

20212002211000 has 128 divisors (see below), whose sum is σ = 47510740330560. Its totient is φ = 8048148480000.

The previous prime is 20212002210989. The next prime is 20212002211039. The reversal of 20212002211000 is 11220021202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411432439 + ... + 411481561.

Almost surely, 220212002211000 is an apocalyptic number.

20212002211000 is a gapful number since it is divisible by the number (20) 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 20212002211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23755370165280).

20212002211000 is an abundant number, since it is smaller than the sum of its proper divisors (27298738119560).

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

20212002211000 is a wasteful number, since it uses less digits than its factorization.

20212002211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51002 (or 50988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20212002211000 its reverse (11220021202), we get a palindrome (20223222232202).

The spelling of 20212002211000 in words is "twenty trillion, two hundred twelve billion, two million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 257 500 514 1000 1028 1285 1601 2056 2570 3202 5140 6404 6425 8005 10280 12808 12850 16010 25700 32020 32125 40025 49123 51400 64040 64250 80050 98246 128500 160100 196492 200125 245615 257000 320200 392984 400250 411457 491230 800500 822914 982460 1228075 1601000 1645828 1964920 2057285 2456150 3291656 4114570 4912300 6140375 8229140 9824600 10286425 12280750 12624611 16458280 20572850 24561500 25249222 41145700 49123000 50498444 51432125 63123055 78645923 82291400 100996888 102864250 126246110 157291846 205728500 252492220 314583692 315615275 393229615 411457000 504984440 629167384 631230550 786459230 1262461100 1572918460 1578076375 1966148075 2524922200 3145836920 3156152750 3932296150 6312305500 7864592300 9830740375 12624611000 15729184600 19661480750 20212002211 39322961500 40424004422 78645923000 80848008844 101060011055 161696017688 202120022110 404240044220 505300055275 808480088440 1010600110550 2021200221100 2526500276375 4042400442200 5053000552750 10106001105500 20212002211000