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202122041000 = 23531122980239
BaseRepresentation
bin1011110000111101101…
…0011001011010101000
3201022201020021112111112
42330033122121122220
511302421220303000
6232504212445452
720413526000315
oct2741732313250
9638636245445
10202122041000
11787a0693aa0
123320a319888
13160a1b56439
149ad5c67d0c
1553ce8e2235
hex2f0f6996a8

202122041000 has 128 divisors (see below), whose sum is σ = 518222016000. Its totient is φ = 73177056000.

The previous prime is 202122040999. The next prime is 202122041057. The reversal of 202122041000 is 140221202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2478881 + ... + 2559119.

It is an arithmetic number, because the mean of its divisors is an integer number (4048609500).

Almost surely, 2202122041000 is an apocalyptic number.

202122041000 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 202122041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259111008000).

202122041000 is an abundant number, since it is smaller than the sum of its proper divisors (316099975000).

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

202122041000 is a wasteful number, since it uses less digits than its factorization.

202122041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80500 (or 80486 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202122041000 its reverse (140221202), we get a palindrome (202262262202).

The spelling of 202122041000 in words is "two hundred two billion, one hundred twenty-two million, forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 229 250 275 440 458 500 550 916 1000 1100 1145 1375 1832 2200 2290 2519 2750 4580 5038 5500 5725 9160 10076 11000 11450 12595 20152 22900 25190 28625 45800 50380 57250 62975 80239 100760 114500 125950 160478 229000 251900 314875 320956 401195 503800 629750 641912 802390 882629 1259500 1604780 1765258 2005975 2519000 3209560 3530516 4011950 4413145 7061032 8023900 8826290 10029875 16047800 17652580 18374731 20059750 22065725 35305160 36749462 40119500 44131450 73498924 80239000 88262900 91873655 110328625 146997848 176525800 183747310 202122041 220657250 367494620 404244082 441314500 459368275 734989240 808488164 882629000 918736550 1010610205 1616976328 1837473100 2021220410 2296841375 3674946200 4042440820 4593682750 5053051025 8084881640 9187365500 10106102050 18374731000 20212204100 25265255125 40424408200 50530510250 101061020500 202122041000