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11134134122244 = 2237413917825353
BaseRepresentation
bin1010001000000101111000…
…0110111111011100000100
31110102102010221200002111220
42202001132012333130010
52424410201313402434
635402541155200340
72226262136334240
oct242013606773404
943372127602456
1011134134122244
113602a6149a2a1
1212b9a52ba60b0
13629c3794a163
142a6c75b09420
15144957437d49
hexa205e1bf704

11134134122244 has 96 divisors (see below), whose sum is σ = 30422997432576. Its totient is φ = 3102795294720.

The previous prime is 11134134122239. The next prime is 11134134122291. The reversal of 11134134122244 is 44222143143111.

It is a nude number because it is divisible by every one of its digits.

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, 13077472 + ... + 13902824.

It is an arithmetic number, because the mean of its divisors is an integer number (316906223256).

Almost surely, 211134134122244 is an apocalyptic number.

11134134122244 is a gapful number since it is divisible by the number (14) 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 11134134122244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211498716288).

11134134122244 is an abundant number, since it is smaller than the sum of its proper divisors (19288863310332).

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

11134134122244 is a wasteful number, since it uses less digits than its factorization.

11134134122244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829325 (or 829323 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

Adding to 11134134122244 its reverse (44222143143111), we get a palindrome (55356277265355).

The spelling of 11134134122244 in words is "eleven trillion, one hundred thirty-four billion, one hundred thirty-four million, one hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 3917 7834 11751 15668 23502 27419 47004 54838 82257 109676 160597 164514 321194 329028 481791 642388 825353 963582 1124179 1650706 1927164 2248358 2476059 3301412 3372537 4496716 4952118 5777471 6745074 9904236 11554942 13490148 17332413 23109884 33839473 34664826 67678946 69329652 101518419 135357892 203036838 236876311 406073676 473752622 710628933 947505244 1421257866 2842515732 3232907701 6465815402 9698723103 12931630804 19397446206 22630353907 38794892412 45260707814 67891061721 90521415628 132549215741 135782123442 265098431482 271564246884 397647647223 530196862964 795295294446 927844510187 1590590588892 1855689020374 2783533530561 3711378040748 5567067061122 11134134122244