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1011301233330 = 235315988320873
BaseRepresentation
bin11101011011101100100…
…00000011001010110010
310120200100022200120011110
432231312100003022302
5113032121103431310
62052330235054150
7133030662436113
oct16556620031262
93520308616143
101011301233330
1135a9881aa853
12143bb68a1356
137449973345b
1436d3932c20a
151b48d9a9d20
hexeb764032b2

1011301233330 has 128 divisors (see below), whose sum is σ = 2550889635840. Its totient is φ = 256254727680.

The previous prime is 1011301233277. The next prime is 1011301233377. The reversal of 1011301233330 is 333321031101.

It is a junction number, because it is equal to n+sod(n) for n = 1011301233297 and 1011301233306.

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, 48439774 + ... + 48460646.

It is an arithmetic number, because the mean of its divisors is an integer number (19928825280).

Almost surely, 21011301233330 is an apocalyptic number.

1011301233330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011301233330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275444817920).

1011301233330 is an abundant number, since it is smaller than the sum of its proper divisors (1539588402510).

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

1011301233330 is a wasteful number, since it uses less digits than its factorization.

1011301233330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21856.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1011301233330 its reverse (333321031101), we get a palindrome (1344622264431).

The spelling of 1011301233330 in words is "one trillion, eleven billion, three hundred one million, two hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 59 62 93 118 155 177 186 295 310 354 465 590 883 885 930 1766 1770 1829 2649 3658 4415 5298 5487 8830 9145 10974 13245 18290 20873 26490 27373 27435 41746 52097 54746 54870 62619 82119 104194 104365 125238 136865 156291 164238 208730 260485 273730 312582 313095 410595 520970 626190 647063 781455 821190 1231507 1294126 1562910 1615007 1941189 2463014 3230014 3235315 3694521 3882378 4845021 6157535 6470630 7389042 8075035 9690042 9705945 12315070 16150070 18430859 18472605 19411890 24225105 36861718 36945210 38176717 48450210 55292577 76353434 92154295 110585154 114530151 184308590 190883585 229060302 276462885 381767170 552925770 571356629 572650755 1087420681 1142713258 1145301510 1714069887 2174841362 2856783145 3262262043 3428139774 5437103405 5713566290 6524524086 8570349435 10874206810 16311310215 17140698870 32622620430 33710041111 67420082222 101130123333 168550205555 202260246666 337100411110 505650616665 1011301233330