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13213222100 = 22521333130707
BaseRepresentation
bin11000100111001000…
…11100010011010100
31021002212000020012022
430103210130103110
5204030041101400
610023045112312
7645302351261
oct142344342324
937085006168
1013213222100
115670579371
1226890b8698
131327608320
148d4bd0268
1552501db85
hex31391c4d4

13213222100 has 72 divisors (see below), whose sum is σ = 30972580128. Its totient is φ = 4863830400.

The previous prime is 13213222013. The next prime is 13213222123. The reversal of 13213222100 is 122231231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414947 + ... + 445653.

It is an arithmetic number, because the mean of its divisors is an integer number (430174724).

Almost surely, 213213222100 is an apocalyptic number.

13213222100 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 13213222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15486290064).

13213222100 is an abundant number, since it is smaller than the sum of its proper divisors (17759358028).

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

13213222100 is a wasteful number, since it uses less digits than its factorization.

13213222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31065 (or 31058 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13213222100 its reverse (122231231), we get a palindrome (13335453331).

The spelling of 13213222100 in words is "thirteen billion, two hundred thirteen million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 331 650 662 1300 1324 1655 3310 4303 6620 8275 8606 16550 17212 21515 30707 33100 43030 61414 86060 107575 122828 153535 215150 307070 399191 430300 614140 767675 798382 1535350 1596764 1995955 3070700 3991910 7983820 9979775 10164017 19959550 20328034 39919100 40656068 50820085 101640170 132132221 203280340 254100425 264264442 508200850 528528884 660661105 1016401700 1321322210 2642644420 3303305525 6606611050 13213222100