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1220033100 = 22352111328439
BaseRepresentation
bin100100010111000…
…0011101001001100
310011000201002210010
41020232003221030
54444312024400
6321021313220
742143052546
oct11056035114
93130632703
101220033100
11576749a20
122a0705810
131659b99a0
14b8066696
1572196450
hex48b83a4c

1220033100 has 144 divisors (see below), whose sum is σ = 4147234560. Its totient is φ = 273004800.

The previous prime is 1220033081. The next prime is 1220033119. The reversal of 1220033100 is 13300221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1220033081) and next prime (1220033119).

It is a super-2 number, since 2×12200331002 = 2976961530191220000, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 28681 + ... + 57119.

It is an arithmetic number, because the mean of its divisors is an integer number (28800240).

Almost surely, 21220033100 is an apocalyptic number.

1220033100 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 1220033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073617280).

1220033100 is an abundant number, since it is smaller than the sum of its proper divisors (2927201460).

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

1220033100 is a wasteful number, since it uses less digits than its factorization.

1220033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28480 (or 28473 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1220033100 is about 34928.9722150538. The cubic root of 1220033100 is about 1068.5393935407.

Adding to 1220033100 its reverse (13300221), we get a palindrome (1233333321).

The spelling of 1220033100 in words is "one billion, two hundred twenty million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 28439 42900 56878 85317 113756 142195 170634 284390 312829 341268 369707 426585 568780 625658 710975 739414 853170 938487 1109121 1251316 1421950 1478828 1564145 1706340 1848535 1876974 2132925 2218242 2843900 3128290 3697070 3753948 4066777 4265850 4436484 4692435 5545605 6256580 7394140 7820725 8133554 8531700 9242675 9384870 11091210 12200331 15641450 16267108 18485350 18769740 20333885 22182420 23462175 24400662 27728025 31282900 36970700 40667770 46924350 48801324 55456050 61001655 81335540 93848700 101669425 110912100 122003310 203338850 244006620 305008275 406677700 610016550 1220033100