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11311602930 = 2325317521761
BaseRepresentation
bin10101000100011100…
…10101110011110010
31002012022202222002200
422202032111303302
5141131232243210
65110234524030
7550212016125
oct124216256362
932168688080
1011311602930
114885117781
122238296616
1310b3658794
147944243bc
154630e10c0
hex2a2395cf2

11311602930 has 96 divisors (see below), whose sum is σ = 29598414768. Its totient is φ = 2997196800.

The previous prime is 11311602881. The next prime is 11311602943. The reversal of 11311602930 is 3920611311.

11311602930 is a `hidden beast` number, since 1 + 1 + 311 + 60 + 293 + 0 = 666.

11311602930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14676561 + 11296926369 = 3831^2 + 106287^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11311602894 and 11311602903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14863750 + ... + 14864510.

Almost surely, 211311602930 is an apocalyptic number.

11311602930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11311602930 is an abundant number, since it is smaller than the sum of its proper divisors (18286811838).

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

11311602930 is a wasteful number, since it uses less digits than its factorization.

11311602930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

It can be divided in two parts, 1131 and 1602930, that added together give a palindrome (1604061).

The spelling of 11311602930 in words is "eleven billion, three hundred eleven million, six hundred two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 317 521 634 761 951 1042 1522 1563 1585 1902 2283 2605 2853 3126 3170 3805 4566 4689 4755 5210 5706 6849 7610 7815 9378 9510 11415 13698 14265 15630 22830 23445 28530 34245 46890 68490 165157 241237 330314 396481 482474 495471 723711 792962 825785 990942 1189443 1206185 1447422 1486413 1651570 1982405 2171133 2378886 2412370 2477355 2972826 3568329 3618555 3964810 4342266 4954710 5947215 7136658 7237110 7432065 10855665 11894430 14864130 17841645 21711330 35683290 125684477 251368954 377053431 628422385 754106862 1131160293 1256844770 1885267155 2262320586 3770534310 5655801465 11311602930