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21202013000 = 2353717916921
BaseRepresentation
bin10011101111101111…
…010000101101001000
32000201121022212002202
4103233233100231020
5321410203404000
613423504415332
71350256064660
oct235757205510
960647285082
1021202013000
118a9aa901a3
124138617548
131ccb72542c
141051bbb1a0
15841552dd5
hex4efbd0b48

21202013000 has 128 divisors (see below), whose sum is σ = 57020371200. Its totient is φ = 7228224000.

The previous prime is 21202012991. The next prime is 21202013017. The reversal of 21202013000 is 31020212.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 1244540 + ... + 1261460.

It is an arithmetic number, because the mean of its divisors is an integer number (445471650).

Almost surely, 221202013000 is an apocalyptic number.

21202013000 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 21202013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28510185600).

21202013000 is an abundant number, since it is smaller than the sum of its proper divisors (35818358200).

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

21202013000 is a wasteful number, since it uses less digits than its factorization.

21202013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17128 (or 17114 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 21202013000 its reverse (31020212), we get a palindrome (21233033212).

The spelling of 21202013000 in words is "twenty-one billion, two hundred two million, thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 179 200 250 280 350 358 500 700 716 875 895 1000 1253 1400 1432 1750 1790 2506 3500 3580 4475 5012 6265 7000 7160 8950 10024 12530 16921 17900 22375 25060 31325 33842 35800 44750 50120 62650 67684 84605 89500 118447 125300 135368 156625 169210 179000 236894 250600 313250 338420 423025 473788 592235 626500 676840 846050 947576 1184470 1253000 1692100 2115125 2368940 2961175 3028859 3384200 4230250 4737880 5922350 6057718 8460500 11844700 12115436 14805875 15144295 16921000 21202013 23689400 24230872 29611750 30288590 42404026 59223500 60577180 75721475 84808052 106010065 118447000 121154360 151442950 169616104 212020130 302885900 378607375 424040260 530050325 605771800 757214750 848080520 1060100650 1514429500 2120201300 2650251625 3028859000 4240402600 5300503250 10601006500 21202013000