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11320312313130 = 23547101117167883
BaseRepresentation
bin1010010010111011011100…
…1100011011010100101010
31111002012201000210010101020
42210232313030123110222
52440432444423010010
640024251340033310
72245602615004542
oct244566714332452
944065630703336
1011320312313130
113674a101a9757
121329b51832836
13641668549a52
142b1c9825a322
15149702226470
hexa4bb731b52a

11320312313130 has 128 divisors (see below), whose sum is σ = 28045871640576. Its totient is φ = 2922727392000.

The previous prime is 11320312313113. The next prime is 11320312313143. The reversal of 11320312313130 is 3131321302311.

It is a self number, because there is not a number n which added to its sum of digits gives 11320312313130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166728169 + ... + 166796051.

It is an arithmetic number, because the mean of its divisors is an integer number (219108372192).

Almost surely, 211320312313130 is an apocalyptic number.

11320312313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11320312313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14022935820288).

11320312313130 is an abundant number, since it is smaller than the sum of its proper divisors (16725559327446).

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

11320312313130 is a wasteful number, since it uses less digits than its factorization.

11320312313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69212.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11320312313130 its reverse (3131321302311), we get a palindrome (14451633615441).

The spelling of 11320312313130 in words is "eleven trillion, three hundred twenty billion, three hundred twelve million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 101 141 202 235 282 303 470 505 606 705 1010 1171 1410 1515 2342 3030 3513 4747 5855 7026 9494 11710 14241 17565 23735 28482 35130 47470 55037 67883 71205 110074 118271 135766 142410 165111 203649 236542 275185 330222 339415 354813 407298 550370 591355 678830 709626 825555 1018245 1182710 1651110 1774065 2036490 3190501 3548130 5558737 6381002 6856183 9571503 11117474 13712366 15952505 16676211 19143006 20568549 27793685 31905010 33352422 34280915 41137098 47857515 55587370 68561830 79490993 83381055 95715030 102842745 158981986 166762110 205685490 238472979 322240601 397454965 476945958 644481202 794909930 966721803 1192364895 1611203005 1933443606 2384729790 3222406010 3736076671 4833609015 7472153342 8028590293 9667218030 11208230013 16057180586 18680383355 22416460026 24085770879 37360766710 40142951465 48171541758 56041150065 80285902930 112082300130 120428854395 240857708790 377343743771 754687487542 1132031231313 1886718718855 2264062462626 3773437437710 5660156156565 11320312313130