Search a number
-
+
10221300011130 = 23513235919313531
BaseRepresentation
bin1001010010111101010011…
…1101001101000001111010
31100012010221222020121120220
42110233110331031001322
52314431210300324010
633423333404200510
72103315225403155
oct224572475150172
940163858217526
1010221300011130
1132909134298aa
121190b58839136
13591b31292380
142749dc01ac9c
1512ad2d326970
hex94bd4f4d07a

10221300011130 has 128 divisors (see below), whose sum is σ = 28033977968640. Its totient is φ = 2365830170880.

The previous prime is 10221300011057. The next prime is 10221300011171. The reversal of 10221300011130 is 3111000312201.

It is a happy number.

It is a super-2 number, since 2×102213000111302 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9127536 + ... + 10185995.

It is an arithmetic number, because the mean of its divisors is an integer number (219015452880).

Almost surely, 210221300011130 is an apocalyptic number.

10221300011130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10221300011130 is an abundant number, since it is smaller than the sum of its proper divisors (17812677957510).

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

10221300011130 is a wasteful number, since it uses less digits than its factorization.

10221300011130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19313636.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10221300011130 its reverse (3111000312201), we get a palindrome (13332300323331).

The spelling of 10221300011130 in words is "ten trillion, two hundred twenty-one billion, three hundred million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 59 65 69 78 115 118 130 138 177 195 230 295 299 345 354 390 590 598 690 767 885 897 1357 1495 1534 1770 1794 2301 2714 2990 3835 4071 4485 4602 6785 7670 8142 8970 11505 13570 17641 20355 23010 35282 40710 52923 88205 105846 176410 264615 529230 19313531 38627062 57940593 96567655 115881186 193135310 251075903 289702965 444211213 502151806 579405930 753227709 888422426 1139498329 1255379515 1332633639 1506455418 2221056065 2278996658 2510759030 2665267278 3418494987 3766138545 4442112130 5697491645 5774745769 6663168195 6836989974 7532277090 11394983290 11549491538 13326336390 14813478277 17092474935 17324237307 26208461567 28873728845 29626956554 34184949870 34648474614 44440434831 52416923134 57747457690 74067391385 78625384701 86621186535 88880869662 131042307835 148134782770 157250769402 173242373070 222202174155 262084615670 340710000371 393126923505 444404348310 681420000742 786253847010 1022130001113 1703550001855 2044260002226 3407100003710 5110650005565 10221300011130