Search a number
-
+
202203031020 = 223531857126851
BaseRepresentation
bin1011110001010000111…
…1010110010111101100
3201022220212200020220220
42330110033112113230
511303102433443040
6232520224411340
720415531255654
oct2742417262754
9638825606826
10202203031020
1178832380aa1
1233231476b50
13160b5872323
149b0290b364
1553d6a8e2d0
hex2f143d65ec

202203031020 has 96 divisors (see below), whose sum is σ = 585118550016. Its totient is φ = 52120128000.

The previous prime is 202203030973. The next prime is 202203031027. The reversal of 202203031020 is 20130302202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (202203031027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1530595 + ... + 1657445.

It is an arithmetic number, because the mean of its divisors is an integer number (6094984896).

Almost surely, 2202203031020 is an apocalyptic number.

202203031020 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 202203031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292559275008).

202203031020 is an abundant number, since it is smaller than the sum of its proper divisors (382915518996).

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

202203031020 is a wasteful number, since it uses less digits than its factorization.

202203031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127751 (or 127749 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 202203031020 its reverse (20130302202), we get a palindrome (222333333222).

The spelling of 202203031020 in words is "two hundred two billion, two hundred three million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 857 930 1714 1860 2571 3428 4285 5142 8570 10284 12855 17140 25710 26567 51420 53134 79701 106268 126851 132835 159402 253702 265670 318804 380553 398505 507404 531340 634255 761106 797010 1268510 1522212 1594020 1902765 2537020 3805530 3932381 7611060 7864762 11797143 15729524 19661905 23594286 39323810 47188572 58985715 78647620 108711307 117971430 217422614 235942860 326133921 434845228 543556535 652267842 1087113070 1304535684 1630669605 2174226140 3261339210 3370050517 6522678420 6740101034 10110151551 13480202068 16850252585 20220303102 33700505170 40440606204 50550757755 67401010340 101101515510 202203031020