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4202211012 = 22329151211379
BaseRepresentation
bin1111101001111000…
…1010011011000100
3101211212012102210220
43322132022123010
532101231223022
61532551544340
7206064130026
oct37236123304
911755172726
104202211012
11186704736a
1299338b0b0
1351c7a11bc
142bc150016
15198db985c
hexfa78a6c4

4202211012 has 96 divisors (see below), whose sum is σ = 10285900800. Its totient is φ = 1333584000.

The previous prime is 4202211007. The next prime is 4202211017. The reversal of 4202211012 is 2101122024.

It is an interprime number because it is at equal distance from previous prime (4202211007) and next prime (4202211017).

It is a super-3 number, since 3×42022110123 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4202210982 and 4202211000.

It is not an unprimeable number, because it can be changed into a prime (4202211017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11087439 + ... + 11087817.

It is an arithmetic number, because the mean of its divisors is an integer number (107144800).

Almost surely, 24202211012 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 4202211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142950400).

4202211012 is an abundant number, since it is smaller than the sum of its proper divisors (6083689788).

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

4202211012 is a wasteful number, since it uses less digits than its factorization.

4202211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4202211012 is about 64824.4630675797. The cubic root of 4202211012 is about 1613.7117162070.

Adding to 4202211012 its reverse (2101122024), we get a palindrome (6303333036).

The spelling of 4202211012 in words is "four billion, two hundred two million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 151 174 211 302 348 379 422 453 604 633 758 844 906 1137 1266 1516 1812 2274 2532 4379 4548 6119 8758 10991 12238 13137 17516 18357 21982 24476 26274 31861 32973 36714 43964 52548 57229 63722 65946 73428 79969 95583 114458 127444 131892 159938 171687 191166 228916 239907 319876 343374 382332 479814 686748 923969 959628 1659641 1847938 2319101 2771907 3319282 3695876 4638202 4978923 5543814 6638564 6957303 9276404 9957846 11087628 12075319 13914606 19915692 24150638 27829212 36225957 48301276 72451914 144903828 350184251 700368502 1050552753 1400737004 2101105506 4202211012