Search a number
-
+
113331034042020 = 22355129831796129
BaseRepresentation
bin11001110001001011110000…
…000001101010111010100100
3112212021100012121202202200000
4121301023300001222322210
5104323303424203321040
61041011320331421300
732604616446641034
oct3161136001527244
9485240177682600
10113331034042020
1133124470201283
1210864391bb4830
134b310bc2c0c22
141ddb3738738c4
15d18000de7130
hex6712f006aea4

113331034042020 has 144 divisors (see below), whose sum is σ = 356530712952960. Its totient is φ = 30219264470016.

The previous prime is 113331034041997. The next prime is 113331034042021. The reversal of 113331034042020 is 20240430133311.

It is a happy number.

113331034042020 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 310 + 340 + 4 + 2 + 0 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (113331034042021) 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, 62199316 + ... + 63995444.

It is an arithmetic number, because the mean of its divisors is an integer number (2475907728840).

Almost surely, 2113331034042020 is an apocalyptic number.

113331034042020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113331034042020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178265356476480).

113331034042020 is an abundant number, since it is smaller than the sum of its proper divisors (243199678910940).

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

113331034042020 is a wasteful number, since it uses less digits than its factorization.

113331034042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809136 (or 1809122 counting only the distinct ones).

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

Adding to 113331034042020 its reverse (20240430133311), we get a palindrome (133571464175331).

The spelling of 113331034042020 in words is "one hundred thirteen trillion, three hundred thirty-one billion, thirty-four million, forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 12983 25966 38949 51932 64915 77898 116847 129830 155796 194745 233694 259660 350541 389490 467388 584235 701082 778980 1051623 1168470 1402164 1752705 1796129 2103246 2336940 3154869 3505410 3592258 4206492 5258115 5388387 6309738 7010820 7184516 8980645 10516230 10776774 12619476 15774345 16165161 17961290 21032460 21553548 26941935 31548690 32330322 35922580 48495483 53883870 63097380 64660644 80825805 96990966 107767740 145486449 161651610 193981932 242477415 290972898 323303220 436459347 484954830 581945796 727432245 872918694 969909660 1454864490 1745837388 2182296735 2909728980 4364593470 8729186940 23319142807 46638285614 69957428421 93276571228 116595714035 139914856842 209872285263 233191428070 279829713684 349787142105 419744570526 466382856140 629616855789 699574284210 839489141052 1049361426315 1259233711578 1399148568420 1888850567367 2098722852630 2518467423156 3148084278945 3777701134734 4197445705260 5666551702101 6296168557890 7555402269468 9444252836835 11333103404202 12592337115780 18888505673670 22666206808404 28332758510505 37777011347340 56665517021010 113331034042020