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3127202020 = 22517194111807
BaseRepresentation
bin1011101001100101…
…0101000011100100
322001221101022201001
42322121111003210
522401030431040
61234150443044
7140331531025
oct27231250344
98057338631
103127202020
111365251188
12733363484
133aab605c7
14219478c4c
1513481d59a
hexba6550e4

3127202020 has 96 divisors (see below), whose sum is σ = 7498552320. Its totient is φ = 1088040960.

The previous prime is 3127201999. The next prime is 3127202021. The reversal of 3127202020 is 202027213.

It is a super-3 number, since 3×31272020203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (3127202021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258957 + ... + 270763.

It is an arithmetic number, because the mean of its divisors is an integer number (78109920).

Almost surely, 23127202020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3127202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749276160).

3127202020 is an abundant number, since it is smaller than the sum of its proper divisors (4371350300).

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

3127202020 is a wasteful number, since it uses less digits than its factorization.

3127202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11893 (or 11891 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 3127202020 is about 55921.3914347631. The cubic root of 3127202020 is about 1462.3521882417.

Adding to 3127202020 its reverse (202027213), we get a palindrome (3329229233).

The spelling of 3127202020 in words is "three billion, one hundred twenty-seven million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 41 68 76 82 85 95 164 170 190 205 323 340 380 410 646 697 779 820 1292 1394 1558 1615 2788 3116 3230 3485 3895 6460 6970 7790 11807 13243 13940 15580 23614 26486 47228 52972 59035 66215 118070 132430 200719 224333 236140 264860 401438 448666 484087 802876 897332 968174 1003595 1121665 1936348 2007190 2243330 2420435 3813661 4014380 4486660 4840870 7627322 8229479 9197653 9681740 15254644 16458958 18395306 19068305 32917916 36790612 38136610 41147395 45988265 76273220 82294790 91976530 156360101 164589580 183953060 312720202 625440404 781800505 1563601010 3127202020