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13223000100 = 223521131632393
BaseRepresentation
bin11000101000010011…
…01111100000100100
31021010112102000002110
430110021233200210
5204040042000400
610024034441020
7645451434462
oct142411574044
937115360073
1013223000100
115676047762
122690433170
13132964cb1b
148d6217832
15525d00e50
hex31426f824

13223000100 has 144 divisors (see below), whose sum is σ = 38850138432. Its totient is φ = 3472035840.

The previous prime is 13223000099. The next prime is 13223000101. The reversal of 13223000100 is 100032231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13223000099) and next prime (13223000101).

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

It is not an unprimeable number, because it can be changed into a prime (13223000101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5524504 + ... + 5526896.

It is an arithmetic number, because the mean of its divisors is an integer number (269792628).

Almost surely, 213223000100 is an apocalyptic number.

13223000100 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 13223000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19425069216).

13223000100 is an abundant number, since it is smaller than the sum of its proper divisors (25627138332).

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

13223000100 is a wasteful number, since it uses less digits than its factorization.

13223000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13223000100 its reverse (100032231), we get a palindrome (13323032331).

The spelling of 13223000100 in words is "thirteen billion, two hundred twenty-three million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 163 226 300 326 339 452 489 565 652 678 815 978 1130 1356 1630 1695 1956 2260 2393 2445 2825 3260 3390 4075 4786 4890 5650 6780 7179 8150 8475 9572 9780 11300 11965 12225 14358 16300 16950 18419 23930 24450 28716 33900 35895 36838 47860 48900 55257 59825 71790 73676 92095 110514 119650 143580 179475 184190 221028 239300 270409 276285 358950 368380 390059 460475 540818 552570 717900 780118 811227 920950 1081636 1105140 1170177 1352045 1381425 1560236 1622454 1841900 1950295 2340354 2704090 2762850 3244908 3900590 4056135 4680708 5408180 5525700 5850885 6760225 7801180 8112270 9751475 11701770 13520450 16224540 19502950 20280675 23403540 27040900 29254425 39005900 40561350 44076667 58508850 81122700 88153334 117017700 132230001 176306668 220383335 264460002 440766670 528920004 661150005 881533340 1101916675 1322300010 2203833350 2644600020 3305750025 4407666700 6611500050 13223000100