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200221121020 = 225431277512441
BaseRepresentation
bin1011101001111000011…
…0111101100111111100
3201010210202100210111211
42322132012331213330
511240023101333040
6231551425254204
720315444306464
oct2723606754774
9633722323454
10200221121020
1177a0566a748
1232979794364
1315b5b08cc0b
149995600ba4
15531caa18ea
hex2e9e1bd9fc

200221121020 has 96 divisors (see below), whose sum is σ = 434385616896. Its totient is φ = 77474880000.

The previous prime is 200221121011. The next prime is 200221121131. The reversal of 200221121020 is 20121122002.

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, 82023000 + ... + 82025440.

It is an arithmetic number, because the mean of its divisors is an integer number (4524850176).

Almost surely, 2200221121020 is an apocalyptic number.

200221121020 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 200221121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217192808448).

200221121020 is an abundant number, since it is smaller than the sum of its proper divisors (234164495876).

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

200221121020 is a wasteful number, since it uses less digits than its factorization.

200221121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3369 counting only the distinct ones).

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

Adding to 200221121020 its reverse (20121122002), we get a palindrome (220342243022).

The spelling of 200221121020 in words is "two hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 127 172 215 254 430 508 635 751 860 1270 1502 2441 2540 3004 3755 4882 5461 7510 9764 10922 12205 15020 21844 24410 27305 32293 48820 54610 64586 95377 104963 109220 129172 161465 190754 209926 310007 322930 381508 419852 476885 524815 620014 645860 953770 1049630 1240028 1550035 1833191 1907540 2099260 3100070 3666382 4101211 6200140 7332764 8202422 9165955 13330301 16404844 18331910 20506055 26660602 36663820 41012110 53321204 66651505 78827213 82024220 133303010 157654426 232815257 266606020 315308852 394136065 465630514 788272130 931261028 1164076285 1576544260 2328152570 4656305140 10011056051 20022112102 40044224204 50055280255 100110560510 200221121020