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13103222000 = 2453114871223
BaseRepresentation
bin11000011010000001…
…10100110011110000
31020211012000122102112
430031000310303300
5203313411101000
610004115304452
7642465356261
oct141500646360
936735018375
1013103222000
1156144776a0
1226582ab128
13130a8a2bcb
148c4358968
1551a541235
hex30d034cf0

13103222000 has 160 divisors (see below), whose sum is σ = 34663209984. Its totient is φ = 4751136000.

The previous prime is 13103221987. The next prime is 13103222003. The reversal of 13103222000 is 22230131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103222003) 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, 10713389 + ... + 10714611.

Almost surely, 213103222000 is an apocalyptic number.

13103222000 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 13103222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17331604992).

13103222000 is an abundant number, since it is smaller than the sum of its proper divisors (21559987984).

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

13103222000 is a wasteful number, since it uses less digits than its factorization.

13103222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13103222000 its reverse (22230131), we get a palindrome (13125452131).

The spelling of 13103222000 in words is "thirteen billion, one hundred three million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 487 500 550 880 974 1000 1100 1223 1375 1948 2000 2200 2435 2446 2750 3896 4400 4870 4892 5357 5500 6115 7792 9740 9784 10714 11000 12175 12230 13453 19480 19568 21428 22000 24350 24460 26785 26906 30575 38960 42856 48700 48920 53570 53812 60875 61150 67265 85712 97400 97840 107140 107624 121750 122300 133925 134530 152875 194800 214280 215248 243500 244600 267850 269060 305750 336325 428560 487000 489200 535700 538120 595601 611500 669625 672650 974000 1071400 1076240 1191202 1223000 1339250 1345300 1681625 2142800 2382404 2446000 2678500 2690600 2978005 3363250 4764808 5357000 5381200 5956010 6551611 6726500 9529616 10714000 11912020 13103222 13453000 14890025 23824040 26206444 26906000 29780050 32758055 47648080 52412888 59560100 65516110 74450125 104825776 119120200 131032220 148900250 163790275 238240400 262064440 297800500 327580550 524128880 595601000 655161100 818951375 1191202000 1310322200 1637902750 2620644400 3275805500 6551611000 13103222000