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1013241333222 = 2341729121310459
BaseRepresentation
bin11101011111010011110…
…00111100010111100110
310120212100112022211220000
432233221320330113212
5113100104240130342
62053250542122130
7133130031141036
oct16575170742746
93525315284800
101013241333222
11360793354598
12144458580346
1374718667161
1437080c738c6
151b553e8944c
hexebe9e3c5e6

1013241333222 has 160 divisors (see below), whose sum is σ = 2489148208800. Its totient is φ = 306635922432.

The previous prime is 1013241333211. The next prime is 1013241333229. The reversal of 1013241333222 is 2223331423101.

1013241333222 is a `hidden beast` number, since 1 + 0 + 1 + 324 + 1 + 3 + 332 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013241333229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96872229 + ... + 96882687.

It is an arithmetic number, because the mean of its divisors is an integer number (15557176305).

Almost surely, 21013241333222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013241333222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244574104400).

1013241333222 is an abundant number, since it is smaller than the sum of its proper divisors (1475906875578).

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

1013241333222 is a wasteful number, since it uses less digits than its factorization.

1013241333222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11732 (or 11723 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1013241333222 its reverse (2223331423101), we get a palindrome (3236572756323).

The spelling of 1013241333222 in words is "one trillion, thirteen billion, two hundred forty-one million, three hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 81 87 102 153 162 174 261 306 459 493 522 783 918 986 1213 1377 1479 1566 2349 2426 2754 2958 3639 4437 4698 7278 8874 10459 10917 13311 20621 20918 21834 26622 31377 32751 35177 39933 41242 61863 62754 65502 70354 79866 94131 98253 105531 123726 177803 185589 188262 196506 211062 282393 303311 316593 355606 371178 533409 556767 564786 598009 606622 633186 847179 909933 949779 1066818 1113534 1196018 1600227 1670301 1694358 1794027 1819866 1899558 2729799 2849337 3200454 3340602 3588054 4800681 5156287 5382081 5459598 5698674 8189397 9601362 10312574 10764162 12686767 14402043 15468861 16146243 16378794 24568191 25373534 28804086 30937722 32292486 38060301 46406583 48438729 49136382 76120602 92813166 96877458 114180903 139219749 215675039 228361806 278439498 342542709 367916243 417659247 431350078 647025117 685085418 735832486 835318494 1027628127 1103748729 1294050234 1941075351 2055256254 2207497458 3311246187 3882150702 5823226053 6254576131 6622492374 9933738561 11646452106 12509152262 17469678159 18763728393 19867477122 29801215683 34939356318 37527456786 56291185179 59602431366 112582370358 168873555537 337747111074 506620666611 1013241333222