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202142134320 = 24357217188957
BaseRepresentation
bin1011110001000010011…
…1000011000000110000
3201022202122002101100120
42330100213003000300
511302441341244240
6232510211250240
720414161535400
oct2742047030060
9638678071316
10202142134320
1178800a68445
1233214ba9980
13160a6070189
149ad87b8800
1553d1560ad0
hex2f109c3030

202142134320 has 120 divisors (see below), whose sum is σ = 728949330864. Its totient is φ = 46203913728.

The previous prime is 202142134307. The next prime is 202142134331. The reversal of 202142134320 is 23431241202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2021421343202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8582719 + ... + 8606238.

Almost surely, 2202142134320 is an apocalyptic number.

202142134320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202142134320 is an abundant number, since it is smaller than the sum of its proper divisors (526807196544).

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

202142134320 is a wasteful number, since it uses less digits than its factorization.

202142134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17188987 (or 17188974 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 202142134320 its reverse (23431241202), we get a palindrome (225573375522).

The spelling of 202142134320 in words is "two hundred two billion, one hundred forty-two million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 17188957 34377914 51566871 68755828 85944785 103133742 120322699 137511656 171889570 206267484 240645398 257834355 275023312 343779140 360968097 412534968 481290796 515668710 601613495 687558280 721936194 825069936 842258893 962581592 1031337420 1203226990 1375116560 1443872388 1684517786 1804840485 1925163184 2062674840 2406453980 2526776679 2887744776 3369035572 3609680970 4125349680 4211294465 4812907960 5053553358 5775489552 6738071144 7219361940 8422588930 9625815920 10107106716 12633883395 13476142288 14438723880 16845177860 20214213432 25267766790 28877447760 33690355720 40428426864 50535533580 67380711440 101071067160 202142134320