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202020010020 = 223252813994069
BaseRepresentation
bin1011110000100101010…
…1001011100000100100
3201022110010021211022100
42330021111023200210
511302214110310040
6232450125532100
720411146516023
oct2741125134044
9638403254270
10202020010020
1178749035674
12331a0114030
131608698138a
149ac64a88ba
1553c598ab30
hex2f0954b824

202020010020 has 72 divisors (see below), whose sum is σ = 614974946040. Its totient is φ = 53680273920.

The previous prime is 202020009991. The next prime is 202020010021. The reversal of 202020010020 is 20010020202.

It can be written as a sum of positive squares in 4 ways, for example, as 7523133696 + 194496876324 = 86736^2 + 441018^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 202020009984 and 202020010011.

It is not an unprimeable number, because it can be changed into a prime (202020010021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1946455 + ... + 2047614.

It is an arithmetic number, because the mean of its divisors is an integer number (8541318695).

Almost surely, 2202020010020 is an apocalyptic number.

202020010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202020010020 is an abundant number, since it is smaller than the sum of its proper divisors (412954936020).

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

202020010020 is a wasteful number, since it uses less digits than its factorization.

202020010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994365 (or 3994360 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 202020010020 its reverse (20010020202), we get a palindrome (222030030222).

The spelling of 202020010020 in words is "two hundred two billion, twenty million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 281 562 843 1124 1405 1686 2529 2810 3372 4215 5058 5620 8430 10116 12645 16860 25290 50580 3994069 7988138 11982207 15976276 19970345 23964414 35946621 39940690 47928828 59911035 71893242 79881380 119822070 143786484 179733105 239644140 359466210 718932420 1122333389 2244666778 3367000167 4489333556 5611666945 6734000334 10101000501 11223333890 13468000668 16835000835 20202001002 22446667780 33670001670 40404002004 50505002505 67340003340 101010005010 202020010020