Search a number
-
+
10022200010120 = 2353143187963241
BaseRepresentation
bin1001000111010111100110…
…1010111110010110001000
31022111010001100110121121102
42101311321222332112020
52303200431200310440
633152045104200532
72053036313332004
oct221657152762610
938433040417542
1010022200010120
11321443369a221
12115a452609148
1357912156929c
14269111695704
15125a78dcdb15
hex91d79abe588

10022200010120 has 64 divisors (see below), whose sum is σ = 23818702026240. Its totient is φ = 3789338918400.

The previous prime is 10022200010023. The next prime is 10022200010129. The reversal of 10022200010120 is 2101000222001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10022200010129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93928301 + ... + 94034940.

It is an arithmetic number, because the mean of its divisors is an integer number (372167219160).

Almost surely, 210022200010120 is an apocalyptic number.

10022200010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022200010120 is an abundant number, since it is smaller than the sum of its proper divisors (13796502016120).

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

10022200010120 is a wasteful number, since it uses less digits than its factorization.

10022200010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187963326 (or 187963322 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10022200010120 its reverse (2101000222001), we get a palindrome (12123200232121).

The spelling of 10022200010120 in words is "ten trillion, twenty-two billion, two hundred million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 620 860 1240 1333 1720 2666 5332 6665 10664 13330 26660 53320 187963241 375926482 751852964 939816205 1503705928 1879632410 3759264820 5826860471 7518529640 8082419363 11653720942 16164838726 23307441884 29134302355 32329677452 40412096815 46614883768 58268604710 64659354904 80824193630 116537209420 161648387260 233074418840 250555000253 323296774520 501110000506 1002220001012 1252775001265 2004440002024 2505550002530 5011100005060 10022200010120