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1221232100 = 2252113133547
BaseRepresentation
bin100100011001010…
…1000010111100100
310011002222000111112
41020302220113210
510000113411400
6321103124152
742156205304
oct11062502744
93132860445
101221232100
11577398830
122a0ba3658
1316601965a
14b8299604
1572331835
hex48ca85e4

1221232100 has 72 divisors (see below), whose sum is σ = 2901043488. Its totient is φ = 442540800.

The previous prime is 1221232099. The next prime is 1221232123. The reversal of 1221232100 is 12321221.

It is a happy number.

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, 342527 + ... + 346073.

Almost surely, 21221232100 is an apocalyptic number.

1221232100 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 1221232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450521744).

1221232100 is an abundant number, since it is smaller than the sum of its proper divisors (1679811388).

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

1221232100 is a wasteful number, since it uses less digits than its factorization.

1221232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1221232100 is about 34946.1314024886. The cubic root of 1221232100 is about 1068.8893182722.

Adding to 1221232100 its reverse (12321221), we get a palindrome (1233553321).

The spelling of 1221232100 in words is "one billion, two hundred twenty-one million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 313 550 626 1100 1252 1565 3130 3443 3547 6260 6886 7094 7825 13772 14188 15650 17215 17735 31300 34430 35470 39017 68860 70940 78034 86075 88675 156068 172150 177350 195085 344300 354700 390170 780340 975425 1110211 1950850 2220422 3901700 4440844 5551055 11102110 12212321 22204220 24424642 27755275 48849284 55510550 61061605 111021100 122123210 244246420 305308025 610616050 1221232100