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103215461104 = 24717419129379
BaseRepresentation
bin110000000100000011…
…1101111001011110000
3100212102021002200122201
41200020013233023300
53142341124223404
6115225545312544
710312526641450
oct1401007571360
9325367080581
10103215461104
113a856489678
1218006795754
13996ba32752
144dd2111d60
152a4168dca4
hex18081ef2f0

103215461104 has 80 divisors (see below), whose sum is σ = 242571974400. Its totient is φ = 41533443072.

The previous prime is 103215461081. The next prime is 103215461117. The reversal of 103215461104 is 401164512301.

It is a super-2 number, since 2×1032154611042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733087 + ... + 862465.

It is an arithmetic number, because the mean of its divisors is an integer number (3032149680).

Almost surely, 2103215461104 is an apocalyptic number.

103215461104 is a gapful number since it is divisible by the number (14) 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 103215461104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121285987200).

103215461104 is an abundant number, since it is smaller than the sum of its proper divisors (139356513296).

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

103215461104 is a wasteful number, since it uses less digits than its factorization.

103215461104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129830 (or 129824 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 103215461104 its reverse (401164512301), we get a palindrome (504379973405).

The spelling of 103215461104 in words is "one hundred three billion, two hundred fifteen million, four hundred sixty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 419 476 838 952 1676 1904 2933 3352 5866 6704 7123 11732 14246 23464 28492 46928 49861 56984 99722 113968 129379 199444 258758 398888 517516 797776 905653 1035032 1811306 2070064 2199443 3622612 4398886 7245224 8797772 14490448 15396101 17595544 30792202 35191088 54209801 61584404 108419602 123168808 216839204 246337616 379468607 433678408 758937214 867356816 921566617 1517874428 1843133234 3035748856 3686266468 6071497712 6450966319 7372532936 12901932638 14745065872 25803865276 51607730552 103215461104