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11122140013413 = 311132346712971861
BaseRepresentation
bin1010000111011001001100…
…1101000110001101100101
31110101021012001122020022220
42201312103031012031211
52424211120320412123
635353235055542553
72225355666155022
oct241662315061545
943337161566286
1011122140013413
1135a89670a1860
1212b766622aa59
13628a75a98c40
142a6458bc2549
151444a447cce3
hexa1d93346365

11122140013413 has 128 divisors (see below), whose sum is σ = 18242348027904. Its totient is φ = 5931134668800.

The previous prime is 11122140013409. The next prime is 11122140013429. The reversal of 11122140013413 is 31431004122111.

It is not a de Polignac number, because 11122140013413 - 22 = 11122140013409 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122140013463) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5976431103 + ... + 5976432963.

It is an arithmetic number, because the mean of its divisors is an integer number (142518343968).

Almost surely, 211122140013413 is an apocalyptic number.

11122140013413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11122140013413 is a deficient number, since it is larger than the sum of its proper divisors (7120208014491).

11122140013413 is a wasteful number, since it uses less digits than its factorization.

11122140013413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11122140013413 its reverse (31431004122111), we get a palindrome (42553144135524).

The spelling of 11122140013413 in words is "eleven trillion, one hundred twenty-two billion, one hundred forty million, thirteen thousand, four hundred thirteen".

Divisors: 1 3 11 13 23 33 39 69 143 253 299 429 467 759 897 1297 1401 1861 3289 3891 5137 5583 6071 9867 10741 14267 15411 16861 18213 20471 24193 29831 32223 42801 42803 50583 61413 66781 72579 89493 118151 128409 139633 185471 200343 266123 328141 354453 387803 418899 470833 556413 556439 605699 798369 869087 984423 1163409 1412499 1535963 1669317 1817097 2413717 2607261 4265833 4607889 6120829 6662689 7241151 7874087 9559957 11298131 12797499 13931077 18362487 19988067 19989001 23622261 26550887 28679871 31378321 33894393 41793231 55515491 59967003 79652661 86614957 94134963 124279441 153241847 166546473 181104001 219879011 259844871 259857013 345161531 372838323 459725541 543312003 610670401 659637033 721701383 779571039 1035484593 1127205839 1832011203 1992144011 2165104149 2858427143 3381617517 5976432033 7938715213 8575281429 12399264229 14653675907 23816145639 25925734297 37197792687 43961027721 77777202891 161190434977 285183077267 337034545861 483571304931 855549231801 1011103637583 3707380004471 11122140013413