Search a number
-
+
10120222221010 = 251119101103465463
BaseRepresentation
bin1001001101000100110001…
…0000000010001011010010
31022211111001200112212020121
42103101030100002023102
52311302203342033020
633305055500300454
72063106353353336
oct223211420021322
938744050485217
1010120222221010
113251a64679070
121175449b4172a
135854433aa1c5
1426db6db9d7c6
151283b4691baa
hex9344c4022d2

10120222221010 has 128 divisors (see below), whose sum is σ = 21330613923840. Its totient is φ = 3418352928000.

The previous prime is 10120222221001. The next prime is 10120222221023. The reversal of 10120222221010 is 1012222202101.

It is a happy number.

It is a super-3 number, since 3×101202222210103 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21509539 + ... + 21975001.

It is an arithmetic number, because the mean of its divisors is an integer number (166645421280).

Almost surely, 210120222221010 is an apocalyptic number.

10120222221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120222221010 is an abundant number, since it is smaller than the sum of its proper divisors (11210391702830).

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

10120222221010 is a wasteful number, since it uses less digits than its factorization.

10120222221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465704.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10120222221010 its reverse (1012222202101), we get a palindrome (11132444423111).

The spelling of 10120222221010 in words is "ten trillion, one hundred twenty billion, two hundred twenty-two million, two hundred twenty-one thousand, ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 101 103 110 190 202 206 209 418 505 515 1010 1030 1045 1111 1133 1919 1957 2090 2222 2266 3838 3914 5555 5665 9595 9785 10403 11110 11330 19190 19570 20806 21109 21527 42218 43054 52015 104030 105545 107635 114433 197657 211090 215270 228866 395314 465463 572165 930926 988285 1144330 1976570 2174227 2327315 4348454 4654630 5120093 8843797 10240186 10871135 17687594 21742270 25600465 44218985 47011763 47942689 51200930 88437970 94023526 95885378 97281767 194563534 235058815 239713445 470117630 479426890 486408835 517129393 527369579 893223497 910911091 972817670 1034258786 1054739158 1786446994 1821822182 2585646965 2636847895 4466117485 4554555455 4842211589 5171293930 5273695790 8932234970 9109110910 9684423178 9825458467 10020022001 19650916934 20040044002 24211057945 48422115890 49127292335 50100110005 53264327479 92002020191 98254584670 100200220010 106528654958 184004040382 266321637395 460010100955 532643274790 920020201910 1012022222101 2024044444202 5060111110505 10120222221010