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21002020000 = 25541380777
BaseRepresentation
bin10011100011110100…
…010110010010100000
32000012200000011021121
4103203310112102200
5321003004120000
613352002102024
71342310140003
oct234364262240
960180004247
1021002020000
1189a8102525
1240a164a914
131c99171390
1410333db53a
1582dbeab1a
hex4e3d164a0

21002020000 has 120 divisors (see below), whose sum is σ = 55643279076. Its totient is φ = 7754496000.

The previous prime is 21002019959. The next prime is 21002020043. The reversal of 21002020000 is 2020012.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 327031056 + 20674988944 = 18084^2 + 143788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219612 + ... + 300388.

Almost surely, 221002020000 is an apocalyptic number.

21002020000 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 21002020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27821639538).

21002020000 is an abundant number, since it is smaller than the sum of its proper divisors (34641259076).

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

21002020000 is an equidigital number, since it uses as much as digits as its factorization.

21002020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80820 (or 80797 counting only the distinct ones).

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

Adding to 21002020000 its reverse (2020012), we get a palindrome (21004040012).

The spelling of 21002020000 in words is "twenty-one billion, two million, twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 52000 65000 80777 130000 161554 260000 323108 403885 646216 807770 1050101 1292432 1615540 2019425 2100202 2584864 3231080 4038850 4200404 5250505 6462160 8077700 8400808 10097125 10501010 12924320 16155400 16801616 20194250 21002020 26252525 32310800 33603232 40388500 42004040 50485625 52505050 64621600 80777000 84008080 100971250 105010100 131262625 161554000 168016160 201942500 210020200 262525250 323108000 403885000 420040400 525050500 656313125 807770000 840080800 1050101000 1312626250 1615540000 2100202000 2625252500 4200404000 5250505000 10501010000 21002020000