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12207015100 = 22527137127289
BaseRepresentation
bin10110101111001100…
…00100010010111100
31011111201122121200101
423113212010102330
5144444443440400
65335142410444
7611333626210
oct132746042274
934451577611
1012207015100
1151a45a6135
122448130a24
1311c7006b77
1483b308940
154b6a1356a
hex2d79844bc

12207015100 has 72 divisors (see below), whose sum is σ = 30494610720. Its totient is φ = 4154680320.

The previous prime is 12207015089. The next prime is 12207015109. The reversal of 12207015100 is 151070221.

12207015100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122070151002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12207015109) 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 23 ways as a sum of consecutive naturals, for example, 32256 + ... + 159544.

It is an arithmetic number, because the mean of its divisors is an integer number (423536260).

Almost surely, 212207015100 is an apocalyptic number.

12207015100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12207015100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15247305360).

12207015100 is an abundant number, since it is smaller than the sum of its proper divisors (18287595620).

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

12207015100 is a wasteful number, since it uses less digits than its factorization.

12207015100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127447 (or 127440 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

Adding to 12207015100 its reverse (151070221), we get a palindrome (12358085321).

The spelling of 12207015100 in words is "twelve billion, two hundred seven million, fifteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 137 140 175 274 350 548 685 700 959 1370 1918 2740 3425 3836 4795 6850 9590 13700 19180 23975 47950 95900 127289 254578 509156 636445 891023 1272890 1782046 2545780 3182225 3564092 4455115 6364450 8910230 12728900 17438593 17820460 22275575 34877186 44551150 69754372 87192965 89102300 122070151 174385930 244140302 348771860 435964825 488280604 610350755 871929650 1220701510 1743859300 2441403020 3051753775 6103507550 12207015100