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1215130120 = 235414317231
BaseRepresentation
bin100100001101101…
…0110101000001000
310010200111000011021
41020123112220020
54442033130440
6320324242224
742053302261
oct11033265010
93120430137
101215130120
11573a00276
1229ab40374
13164991109
14b754b968
1571a2884a
hex486d6a08

1215130120 has 64 divisors (see below), whose sum is σ = 2866026240. Its totient is φ = 463142400.

The previous prime is 1215130117. The next prime is 1215130127. The reversal of 1215130120 is 210315121.

It is a junction number, because it is equal to n+sod(n) for n = 1215130094 and 1215130103.

It is not an unprimeable number, because it can be changed into a prime (1215130127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61905 + ... + 79135.

It is an arithmetic number, because the mean of its divisors is an integer number (44781660).

Almost surely, 21215130120 is an apocalyptic number.

1215130120 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 1215130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433013120).

1215130120 is an abundant number, since it is smaller than the sum of its proper divisors (1650896120).

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

1215130120 is a wasteful number, since it uses less digits than its factorization.

1215130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17326 (or 17322 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1215130120 is about 34858.7165569818. The cubic root of 1215130120 is about 1067.1060824117.

Adding to 1215130120 its reverse (210315121), we get a palindrome (1425445241).

The spelling of 1215130120 in words is "one billion, two hundred fifteen million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 43 82 86 164 172 205 215 328 344 410 430 820 860 1640 1720 1763 3526 7052 8815 14104 17231 17630 34462 35260 68924 70520 86155 137848 172310 344620 689240 706471 740933 1412942 1481866 2825884 2963732 3532355 3704665 5651768 5927464 7064710 7409330 14129420 14818660 28258840 29637320 30378253 60756506 121513012 151891265 243026024 303782530 607565060 1215130120