Search a number
-
+
331411110134104 = 2371113353117237971
BaseRepresentation
bin100101101011010101010100…
…1011111101000000101011000
31121110102121000002022102122101
41023112222221133220011120
5321414314423143242404
63132504055010533144
7126543443154333010
oct11326525137500530
91543377002272571
10331411110134104
1196663731889a80
123120583a2971b4
13112bcc1a126980
145bba551b6ac40
15284ab6bd3e2a4
hex12d6aa97e8158

331411110134104 has 128 divisors (see below), whose sum is σ = 836685200494080. Its totient is φ = 118851164467200.

The previous prime is 331411110134089. The next prime is 331411110134123. The reversal of 331411110134104 is 401431011114133.

It is a happy number.

It is a super-2 number, since 2×3314111101341042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55792162 + ... + 61445809.

It is an arithmetic number, because the mean of its divisors is an integer number (6536603128860).

Almost surely, 2331411110134104 is an apocalyptic number.

It is an amenable number.

331411110134104 is an abundant number, since it is smaller than the sum of its proper divisors (505274090359976).

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

331411110134104 is a wasteful number, since it uses less digits than its factorization.

331411110134104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117238361 (or 117238357 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 331411110134104 its reverse (401431011114133), we get a palindrome (732842121248237).

The spelling of 331411110134104 in words is "three hundred thirty-one trillion, four hundred eleven billion, one hundred ten million, one hundred thirty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 353 364 572 616 706 728 1001 1144 1412 2002 2471 2824 3883 4004 4589 4942 7766 8008 9178 9884 15532 18356 19768 27181 31064 32123 36712 50479 54362 64246 100958 108724 128492 201916 217448 256984 353353 403832 706706 1413412 2826824 117237971 234475942 468951884 820665797 937903768 1289617681 1524093623 1641331594 2579235362 3048187246 3282663188 5158470724 6096374492 6565326376 9027323767 10316941448 10668655361 12192748984 16765029853 18054647534 21337310722 33530059706 36109295068 41385003763 42674621444 67060119412 72218590136 82770007526 85349242888 117355208971 134120238824 165540015052 234710417942 289695026341 331080030104 455235041393 469420835884 538005048919 579390052682 910470082786 938841671768 1076010097838 1158780105364 1820940165572 2152020195676 2317560210728 3186645289751 3641880331144 3766035342433 4304040391352 5918055538109 6373290579502 7532070684866 11836111076218 12746581159004 15064141369732 23672222152436 25493162318008 30128282739464 41426388766763 47344444304872 82852777533526 165705555067052 331411110134104