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13010321100 = 22352737167443
BaseRepresentation
bin11000001110111100…
…11011111011001100
31020120201012210100110
430013132123323030
5203121120233400
65551000200020
7640256622210
oct140736337314
936521183313
1013010321100
115576a94897
122631169010
1312c457676a
148b5c94940
155122dee50
hex30779becc

13010321100 has 144 divisors (see below), whose sum is σ = 44183783168. Its totient is φ = 2893397760.

The previous prime is 13010321033. The next prime is 13010321167. The reversal of 13010321100 is 112301031.

It is an interprime number because it is at equal distance from previous prime (13010321033) and next prime (13010321167).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6022 + ... + 161421.

Almost surely, 213010321100 is an apocalyptic number.

13010321100 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 13010321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22091891584).

13010321100 is an abundant number, since it is smaller than the sum of its proper divisors (31173462068).

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

13010321100 is a wasteful number, since it uses less digits than its factorization.

13010321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167504 (or 167497 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13010321100 its reverse (112301031), we get a palindrome (13122622131).

The spelling of 13010321100 in words is "thirteen billion, ten million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 74 75 84 100 105 111 140 148 150 175 185 210 222 259 300 350 370 420 444 518 525 555 700 740 777 925 1036 1050 1110 1295 1554 1850 2100 2220 2590 2775 3108 3700 3885 5180 5550 6475 7770 11100 12950 15540 19425 25900 38850 77700 167443 334886 502329 669772 837215 1004658 1172101 1674430 2009316 2344202 2511645 3348860 3516303 4186075 4688404 5023290 5860505 6195391 7032606 8372150 10046580 11721010 12390782 12558225 14065212 16744300 17581515 18586173 23442020 24781564 25116450 29302525 30976955 35163030 37172346 43367737 50232900 58605050 61953910 70326060 74344692 86735474 87907575 92930865 117210100 123907820 130103211 154884775 173470948 175815150 185861730 216838685 260206422 309769550 351630300 371723460 433677370 464654325 520412844 619539100 650516055 867354740 929308650 1084193425 1301032110 1858617300 2168386850 2602064220 3252580275 4336773700 6505160550 13010321100