Search a number
-
+
2402020242020 = 225747376796907
BaseRepresentation
bin100010111101000011100…
…100000011001001100100
322111122000220212011000102
4202331003210003021210
5303323314140221040
65035250050003232
7335353205115350
oct42750344031144
98448026764012
102402020242020
11846766895993
1232963b876518
131456815b6399
148438909a460
1542736e36515
hex22f43903264

2402020242020 has 96 divisors (see below), whose sum is σ = 5889128620032. Its totient is φ = 805805175168.

The previous prime is 2402020241993. The next prime is 2402020242029. The reversal of 2402020242020 is 202420202042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2402020241983 and 2402020242001.

It is not an unprimeable number, because it can be changed into a prime (2402020242029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24738407 + ... + 24835313.

It is an arithmetic number, because the mean of its divisors is an integer number (61345089792).

Almost surely, 22402020242020 is an apocalyptic number.

2402020242020 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 2402020242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944564310016).

2402020242020 is an abundant number, since it is smaller than the sum of its proper divisors (3487108378012).

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

2402020242020 is a wasteful number, since it uses less digits than its factorization.

2402020242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100737 (or 100735 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2402020242020 its reverse (202420202042), we get a palindrome (2604440444062).

The spelling of 2402020242020 in words is "two trillion, four hundred two billion, twenty million, two hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 3767 6580 7534 15068 18835 26369 37670 52738 75340 96907 105476 131845 177049 193814 263690 354098 387628 484535 527380 678349 708196 885245 969070 1239343 1356698 1770490 1938140 2478686 2713396 3391745 3540980 4554629 4957372 6196715 6783490 9109258 12393430 13566980 18218516 22773145 24786860 31882403 45546290 63764806 91092580 127529612 159412015 318824030 365048669 637648060 730097338 1460194676 1825243345 2555340683 3650486690 5110681366 7300973380 10221362732 12776703415 17157287443 25553406830 34314574886 51106813660 68629149772 85786437215 120101012101 171572874430 240202024202 343145748860 480404048404 600505060505 1201010121010 2402020242020