Search a number
-
+
13021103000 = 2353113139829
BaseRepresentation
bin11000010000001111…
…00100001110011000
31020121110111120100002
430020013210032120
5203131400244000
65552023232132
7640450356263
oct141007441630
936543446302
1013021103000
115582089454
1226348a8648
1312c6880199
148b749dcda
1551321e8d5
hex3081e4398

13021103000 has 128 divisors (see below), whose sum is σ = 30997512000. Its totient is φ = 5119027200.

The previous prime is 13021102973. The next prime is 13021103027. The reversal of 13021103000 is 30112031.

It is an interprime number because it is at equal distance from previous prime (13021102973) and next prime (13021103027).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15706586 + ... + 15707414.

Almost surely, 213021103000 is an apocalyptic number.

13021103000 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 13021103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15498756000).

13021103000 is an abundant number, since it is smaller than the sum of its proper divisors (17976409000).

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

13021103000 is a wasteful number, since it uses less digits than its factorization.

13021103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 13021103000 its reverse (30112031), we get a palindrome (13051215031).

The spelling of 13021103000 in words is "thirteen billion, twenty-one million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 139 200 226 250 278 452 500 556 565 695 829 904 1000 1112 1130 1390 1658 2260 2780 2825 3316 3475 4145 4520 5560 5650 6632 6950 8290 11300 13900 14125 15707 16580 17375 20725 22600 27800 28250 31414 33160 34750 41450 56500 62828 69500 78535 82900 93677 103625 113000 115231 125656 139000 157070 165800 187354 207250 230462 314140 374708 392675 414500 460924 468385 576155 628280 749416 785350 829000 921848 936770 1152310 1570700 1873540 1963375 2304620 2341925 2880775 3141400 3747080 3926750 4609240 4683850 5761550 7853500 9367700 11523100 11709625 13021103 14403875 15707000 18735400 23046200 23419250 26042206 28807750 46838500 52084412 57615500 65105515 93677000 104168824 115231000 130211030 260422060 325527575 520844120 651055150 1302110300 1627637875 2604220600 3255275750 6510551500 13021103000