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121213100 = 22523161641
BaseRepresentation
bin1110011100110…
…01000010101100
322110002021010002
413032121002230
5222012304400
620010003432
73001202651
oct716310254
9273067102
10121213100
1162470218
1234716578
131c160138
1412153c28
15a994ed5
hex73990ac

121213100 has 72 divisors (see below), whose sum is σ = 276398976. Its totient is φ = 46080000.

The previous prime is 121213063. The next prime is 121213129. The reversal of 121213100 is 1312121.

It is a super-2 number, since 2×1212131002 = 29385231223220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188780 + ... + 189420.

Almost surely, 2121213100 is an apocalyptic number.

121213100 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 121213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138199488).

121213100 is an abundant number, since it is smaller than the sum of its proper divisors (155185876).

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

121213100 is a wasteful number, since it uses less digits than its factorization.

121213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 121213100 is about 11009.6821025859. The cubic root of 121213100 is about 494.8989352557.

Adding to 121213100 its reverse (1312121), we get a palindrome (122525221).

The spelling of 121213100 in words is "one hundred twenty-one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 61 62 100 122 124 155 244 305 310 610 620 641 775 1220 1282 1525 1550 1891 2564 3050 3100 3205 3782 6100 6410 7564 9455 12820 16025 18910 19871 32050 37820 39101 39742 47275 64100 78202 79484 94550 99355 156404 189100 195505 198710 391010 397420 496775 782020 977525 993550 1212131 1955050 1987100 2424262 3910100 4848524 6060655 12121310 24242620 30303275 60606550 121213100