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10216123380 = 223552102083
BaseRepresentation
bin10011000001110110…
…11010101111110100
3222100222102211200000
421200323122233310
5131410311422010
64405422551300
7511110421161
oct114073325764
928328384600
1010216123380
11437280a781
121b91438530
13c6a6cb528
146ccb41068
153ebd4e7c0
hex260edabf4

10216123380 has 72 divisors (see below), whose sum is σ = 32136660192. Its totient is φ = 2724298272.

The previous prime is 10216123321. The next prime is 10216123397. The reversal of 10216123380 is 8332161201.

It is a happy number.

10216123380 is a `hidden beast` number, since 10 + 2 + 1 + 612 + 3 + 38 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1046182 + ... + 1055901.

Almost surely, 210216123380 is an apocalyptic number.

10216123380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10216123380 is an abundant number, since it is smaller than the sum of its proper divisors (21920536812).

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

10216123380 is a wasteful number, since it uses less digits than its factorization.

10216123380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102107 (or 2102093 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10216123380 its reverse (8332161201), we get a palindrome (18548284581).

The spelling of 10216123380 in words is "ten billion, two hundred sixteen million, one hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 2102083 4204166 6306249 8408332 10510415 12612498 18918747 21020830 25224996 31531245 37837494 42041660 56756241 63062490 75674988 94593735 113512482 126124980 170268723 189187470 227024964 283781205 340537446 378374940 510806169 567562410 681074892 851343615 1021612338 1135124820 1702687230 2043224676 2554030845 3405374460 5108061690 10216123380