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13003419630 = 2356711357251
BaseRepresentation
bin11000001110001000…
…00110111111101110
31020120020020011022110
430013010012333232
5203112333412010
65550152224450
7640144146255
oct140704067756
936506204273
1013003419630
1155731006a3
12262a99b126
1312c2ccb356
148b4db979c
155118ca120
hex307106fee

13003419630 has 64 divisors (see below), whose sum is σ = 31954860288. Its totient is φ = 3385536000.

The previous prime is 13003419571. The next prime is 13003419631. The reversal of 13003419630 is 3691430031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003419631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198505 + ... + 255755.

It is an arithmetic number, because the mean of its divisors is an integer number (499294692).

Almost surely, 213003419630 is an apocalyptic number.

13003419630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003419630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15977430144).

13003419630 is an abundant number, since it is smaller than the sum of its proper divisors (18951440658).

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

13003419630 is a wasteful number, since it uses less digits than its factorization.

13003419630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57441.

The product of its (nonzero) digits is 5832, while the sum is 30.

Adding to 13003419630 its reverse (3691430031), we get a palindrome (16694849661).

The spelling of 13003419630 in words is "thirteen billion, three million, four hundred nineteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 113 134 201 226 335 339 402 565 670 678 1005 1130 1695 2010 3390 7571 15142 22713 37855 45426 57251 75710 113565 114502 171753 227130 286255 343506 572510 858765 1717530 3835817 6469363 7671634 11507451 12938726 19179085 19408089 23014902 32346815 38358170 38816178 57537255 64693630 97040445 115074510 194080890 433447321 866894642 1300341963 2167236605 2600683926 4334473210 6501709815 13003419630