Search a number
-
+
113121213303330 = 2355331140640301
BaseRepresentation
bin11001101110001000010101…
…101111000100101000100010
3112211112021121212000212100000
4121232020111233010220202
5104311334221101201310
61040331100141040430
732553511056042561
oct3156102557045042
9484467555025300
10113121213303330
1133053489933811
121082b795556116
134b1739148a18b
141dd114b373bd8
15d128206c44c0
hex66e215bc4a22

113121213303330 has 96 divisors (see below), whose sum is σ = 305929785889728. Its totient is φ = 30074521752000.

The previous prime is 113121213303317. The next prime is 113121213303337. The reversal of 113121213303330 is 33303312121311.

113121213303330 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 2 + 1 + 21 + 3 + 303 + 330 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113121213303294 and 113121213303303.

It is not an unprimeable number, because it can be changed into a prime (113121213303337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69515821 + ... + 71124480.

It is an arithmetic number, because the mean of its divisors is an integer number (3186768603018).

Almost surely, 2113121213303330 is an apocalyptic number.

113121213303330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113121213303330 is an abundant number, since it is smaller than the sum of its proper divisors (192808572586398).

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

113121213303330 is a wasteful number, since it uses less digits than its factorization.

113121213303330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140640654 (or 140640642 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 113121213303330 its reverse (33303312121311), we get a palindrome (146424525424641).

The spelling of 113121213303330 in words is "one hundred thirteen trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 331 405 486 662 810 993 1215 1655 1986 2430 2979 3310 4965 5958 8937 9930 14895 17874 26811 29790 44685 53622 80433 89370 134055 160866 268110 402165 804330 140640301 281280602 421920903 703201505 843841806 1265762709 1406403010 2109604515 2531525418 3797288127 4219209030 6328813545 7594576254 11391864381 12657627090 18986440635 22783728762 34175593143 37972881270 46551939631 56959321905 68351186286 93103879262 113918643810 139655818893 170877965715 232759698155 279311637786 341755931430 418967456679 465519396310 698279094465 837934913358 1256902370037 1396558188930 2094837283395 2513804740074 3770707110111 4189674566790 6284511850185 7541414220222 11312121330333 12569023700370 18853535550555 22624242660666 37707071101110 56560606651665 113121213303330