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13210031100 = 2235277877993
BaseRepresentation
bin11000100110110000…
…10001001111111100
31021002122000002222010
430103120101033330
5204023231443400
610022452451220
7645233261130
oct142330211774
937078002863
1013210031100
115669799982
122688019b10
131326a5ba66
148d45dd3c0
15524add450
hex3136113fc

13210031100 has 144 divisors (see below), whose sum is σ = 43742144768. Its totient is φ = 3015221760.

The previous prime is 13210031099. The next prime is 13210031179. The reversal of 13210031100 is 113001231.

13210031100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1648704 + ... + 1656696.

Almost surely, 213210031100 is an apocalyptic number.

13210031100 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 13210031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21871072384).

13210031100 is an abundant number, since it is smaller than the sum of its proper divisors (30532113668).

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

13210031100 is a wasteful number, since it uses less digits than its factorization.

13210031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8804 (or 8797 counting only the distinct ones).

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

Adding to 13210031100 its reverse (113001231), we get a palindrome (13323032331).

The spelling of 13210031100 in words is "thirteen billion, two hundred ten million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 787 1050 1574 2100 2361 3148 3935 4722 5509 7870 7993 9444 11018 11805 15740 15986 16527 19675 22036 23610 23979 27545 31972 33054 39350 39965 47220 47958 55090 55951 59025 66108 78700 79930 82635 95916 110180 111902 118050 119895 137725 159860 165270 167853 199825 223804 236100 239790 275450 279755 330540 335706 399650 413175 479580 550900 559510 599475 671412 799300 826350 839265 1119020 1198950 1398775 1652700 1678530 2397900 2797550 3357060 4196325 5595100 6290491 8392650 12580982 16785300 18871473 25161964 31452455 37742946 44033437 62904910 75485892 88066874 94357365 125809820 132100311 157262275 176133748 188714730 220167185 264200622 314524550 377429460 440334370 471786825 528401244 629049100 660501555 880668740 943573650 1100835925 1321003110 1887147300 2201671850 2642006220 3302507775 4403343700 6605015550 13210031100