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11012441053140 = 22325292109663037
BaseRepresentation
bin1010000001000000100010…
…1000110001011111010100
31102222210000221200122211100
42200100020220301133110
52420411434402200030
635231013502310100
72214423361324302
oct240201050613724
942883027618740
1011012441053140
11356639397630a
12129a350288330
1361b612a72167
142a100d9a3272
151416d39ec360
hexa0408a317d4

11012441053140 has 72 divisors (see below), whose sum is σ = 34556280562440. Its totient is φ = 2835387120384.

The previous prime is 11012441053069. The next prime is 11012441053199. The reversal of 11012441053140 is 4135014421011.

It is a happy number.

11012441053140 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 244 + 105 + 314 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1341547695504 + 9670893357636 = 1158252^2 + 3109806^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054826299 + ... + 1054836738.

It is an arithmetic number, because the mean of its divisors is an integer number (479948341145).

Almost surely, 211012441053140 is an apocalyptic number.

11012441053140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012441053140 is an abundant number, since it is smaller than the sum of its proper divisors (23543839509300).

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

11012441053140 is a wasteful number, since it uses less digits than its factorization.

11012441053140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109663081 (or 2109663076 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11012441053140 its reverse (4135014421011), we get a palindrome (15147455474151).

The spelling of 11012441053140 in words is "eleven trillion, twelve billion, four hundred forty-one million, fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 2109663037 4219326074 6328989111 8438652148 10548315185 12657978222 18986967333 21096630370 25315956444 31644945555 37973934666 42193260740 61180228073 63289891110 75947869332 94934836665 122360456146 126579782220 183540684219 189869673330 244720912292 305901140365 367081368438 379739346660 550622052657 611802280730 734162736876 917703421095 1101244105314 1223604561460 1835406842190 2202488210628 2753110263285 3670813684380 5506220526570 11012441053140