Search a number
-
+
1101233331310 = 257711012419103
BaseRepresentation
bin10000000001100110100…
…111110001110001101110
310220021110211210111020011
4100001212213301301232
5121020311213100220
62201522152043434
7142363405604440
oct20014647616156
93807424714204
101101233331310
11395037563072
1215951499357a
137cacc46cb08
143b42b1d2490
151d9a3dc265a
hex100669f1c6e

1101233331310 has 128 divisors (see below), whose sum is σ = 2329929474048. Its totient is φ = 366992640000.

The previous prime is 1101233331293. The next prime is 1101233331353. The reversal of 1101233331310 is 131333321011.

It is a super-2 number, since 2×11012333313102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120970219 + ... + 120979321.

It is an arithmetic number, because the mean of its divisors is an integer number (18202574016).

Almost surely, 21101233331310 is an apocalyptic number.

1101233331310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1101233331310 is an abundant number, since it is smaller than the sum of its proper divisors (1228696142738).

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

1101233331310 is a wasteful number, since it uses less digits than its factorization.

1101233331310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1101233331310 its reverse (131333321011), we get a palindrome (1232566652321).

The spelling of 1101233331310 in words is "one trillion, one hundred one billion, two hundred thirty-three million, three hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 70 71 101 142 202 241 355 482 497 505 707 710 994 1010 1205 1414 1687 2410 2485 3374 3535 4970 7070 7171 8435 9103 14342 16870 17111 18206 24341 34222 35855 45515 48682 50197 63721 71710 85555 91030 100394 119777 121705 127442 170387 171110 239554 243410 250985 318605 340774 501970 598885 637210 646313 851935 919403 1197770 1292626 1703870 1728211 1838806 2193823 3231565 3456422 4387646 4524191 4597015 6435821 6463130 8641055 9048382 9194030 10969115 12097477 12871642 15356761 17282110 21938230 22620955 24194954 30713522 32179105 45241910 60487385 64358210 65277613 76783805 120974770 130555226 153567610 155761433 221576123 311522866 326388065 443152246 456943291 652776130 778807165 913886582 1090330031 1107880615 1551032861 1557614330 2180660062 2215761230 2284716455 3102065722 4569432910 5451650155 7755164305 10903300310 15510328610 15731904733 31463809466 78659523665 110123333131 157319047330 220246666262 550616665655 1101233331310