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21151318188 = 223711131760849
BaseRepresentation
bin10011101100101101…
…111000000010101100
32000121001221021220010
4103230231320002230
5321304214140223
613414454053220
71346102144460
oct235455700254
960531837803
1021151318188
118a74405460
12412364a210
131cc10859c0
1410491824a0
1583bd8c393
hex4ecb780ac

21151318188 has 96 divisors (see below), whose sum is σ = 66264307200. Its totient is φ = 5071242240.

The previous prime is 21151318183. The next prime is 21151318207. The reversal of 21151318188 is 88181315112.

It is a super-2 number, since 2×211513181882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (21151318183) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 868413 + ... + 892436.

It is an arithmetic number, because the mean of its divisors is an integer number (690253200).

Almost surely, 221151318188 is an apocalyptic number.

21151318188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21151318188 is an abundant number, since it is smaller than the sum of its proper divisors (45112989012).

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

21151318188 is a wasteful number, since it uses less digits than its factorization.

21151318188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760887 (or 1760885 counting only the distinct ones).

The product of its digits is 15360, while the sum is 39.

The spelling of 21151318188 in words is "twenty-one billion, one hundred fifty-one million, three hundred eighteen thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 1760849 3521698 5282547 7043396 10565094 12325943 19369339 21130188 22891037 24651886 36977829 38738678 45782074 49303772 58108017 68673111 73955658 77477356 91564148 116216034 135585373 137346222 147911316 160237259 232432068 251801407 271170746 274692444 320474518 406756119 480711777 503602814 542341492 640949036 755404221 813512238 961423554 1007205628 1510808442 1627024476 1762609849 1922847108 3021616884 3525219698 5287829547 7050439396 10575659094 21151318188