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1210012100 = 22521139091
BaseRepresentation
bin100100000011111…
…0101000111000100
310010022211222112222
41020013311013010
54434230341400
6320022431512
741661635033
oct11007650704
93108758488
101210012100
11571025000
12299292598
131638bb6bb
14b69b871a
1571367185
hex481f51c4

1210012100 has 72 divisors (see below), whose sum is σ = 2888419296. Its totient is φ = 439956000.

The previous prime is 1210012091. The next prime is 1210012103. The reversal of 1210012100 is 12100121.

It is not an unprimeable number, because it can be changed into a prime (1210012103) by changing a digit.

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, 128555 + ... + 137645.

Almost surely, 21210012100 is an apocalyptic number.

1210012100 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 1210012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444209648).

1210012100 is an abundant number, since it is smaller than the sum of its proper divisors (1678407196).

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

1210012100 is a wasteful number, since it uses less digits than its factorization.

1210012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1210012100 is about 34785.2281866887. The cubic root of 1210012100 is about 1065.6057887622.

Adding to 1210012100 its reverse (12100121), we get a palindrome (1222112221).

1210012100 divided by its reverse (12100121) gives a square (100 = 102).

The spelling of 1210012100 in words is "one billion, two hundred ten million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1331 2420 2662 3025 5324 6050 6655 9091 12100 13310 18182 26620 33275 36364 45455 66550 90910 100001 133100 181820 200002 227275 400004 454550 500005 909100 1000010 1100011 2000020 2200022 2500025 4400044 5000050 5500055 10000100 11000110 12100121 22000220 24200242 27500275 48400484 55000550 60500605 110001100 121001210 242002420 302503025 605006050 1210012100