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10002020000 = 2554771443
BaseRepresentation
bin10010101000010101…
…01011011010100000
3221211001120021001012
421110022223122200
5130441004120000
64332254000052
7502600524110
oct112412533240
927731507035
1010002020000
114272974735
121b317a6028
13c35246a3b
146ac52b040
153d815b735
hex2542ab6a0

10002020000 has 120 divisors (see below), whose sum is σ = 28122073056. Its totient is φ = 3429216000.

The previous prime is 10002019981. The next prime is 10002020003. The reversal of 10002020000 is 2020001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (10002020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104279 + ... + 175721.

Almost surely, 210002020000 is an apocalyptic number.

10002020000 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 10002020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061036528).

10002020000 is an abundant number, since it is smaller than the sum of its proper divisors (18120053056).

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

10002020000 is an frugal number, since it uses more digits than its factorization.

10002020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71480 (or 71457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 10002020000 its reverse (2020001), we get a palindrome (10004040001).

Subtracting from 10002020000 its reverse (2020001), we obtain a palindrome (9999999999).

The spelling of 10002020000 in words is "ten billion, two million, twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 14000 17500 20000 28000 35000 70000 71443 140000 142886 285772 357215 500101 571544 714430 1000202 1143088 1428860 1786075 2000404 2286176 2500505 2857720 3572150 4000808 5001010 5715440 7144300 8001616 8930375 10002020 11430880 12502525 14288600 16003232 17860750 20004040 25005050 28577200 35721500 40008080 44651875 50010100 57154400 62512625 71443000 80016160 89303750 100020200 125025250 142886000 178607500 200040400 250050500 285772000 312563125 357215000 400080800 500101000 625126250 714430000 1000202000 1250252500 1428860000 2000404000 2500505000 5001010000 10002020000