Search a number
-
+
10221313221330 = 235478981451217
BaseRepresentation
bin1001010010111101010110…
…1111100110001011010010
31100012010222220002202120120
42110233111233212023102
52314431222141040310
633423334555251110
72103315445602651
oct224572557461322
940163886082516
1010221313221330
11329091a931922
121190b61149a96
13591b33c39163
142749dda99198
1512ad2e585b70
hex94bd5be62d2

10221313221330 has 64 divisors (see below), whose sum is σ = 25334586846720. Its totient is φ = 2637716178944.

The previous prime is 10221313221281. The next prime is 10221313221359. The reversal of 10221313221330 is 3312231312201.

It is a self number, because there is not a number n which added to its sum of digits gives 10221313221330.

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, 40600119 + ... + 40851098.

It is an arithmetic number, because the mean of its divisors is an integer number (395852919480).

Almost surely, 210221313221330 is an apocalyptic number.

10221313221330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10221313221330 is an abundant number, since it is smaller than the sum of its proper divisors (15113273625390).

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

10221313221330 is a wasteful number, since it uses less digits than its factorization.

10221313221330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81451363.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10221313221330 its reverse (3312231312201), we get a palindrome (13533544533531).

The spelling of 10221313221330 in words is "ten trillion, two hundred twenty-one billion, three hundred thirteen million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 89 94 141 178 235 267 282 445 470 534 705 890 1335 1410 2670 4183 8366 12549 20915 25098 41830 62745 125490 81451217 162902434 244353651 407256085 488707302 814512170 1221768255 2443536510 3828207199 7249158313 7656414398 11484621597 14498316626 19141035995 21747474939 22969243194 36245791565 38282071990 43494949878 57423107985 72491583130 108737374695 114846215970 217474749390 340710440711 681420881422 1022131322133 1703552203555 2044262644266 3407104407110 5110656610665 10221313221330