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5322101200 = 2452131496869
BaseRepresentation
bin1001111010011100…
…01101000111010000
3111201220110202100021
410331032031013100
541344424214300
62240035033224
7245613054013
oct47516150720
914656422307
105322101200
112291207449
12104643b814
1366a7c7310
14386b8937a
1521237dd1a
hex13d38d1d0

5322101200 has 120 divisors (see below), whose sum is σ = 13864347000. Its totient is φ = 1951610880.

The previous prime is 5322101189. The next prime is 5322101219. The reversal of 5322101200 is 21012235.

It can be written as a sum of positive squares in 12 ways, for example, as 4887128464 + 434972736 = 69908^2 + 20856^2 .

It is a super-2 number, since 2×53221012002 = 56649522366082880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 771366 + ... + 778234.

It is an arithmetic number, because the mean of its divisors is an integer number (115536225).

Almost surely, 25322101200 is an apocalyptic number.

5322101200 is a gapful number since it is divisible by the number (50) 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 5322101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932173500).

5322101200 is an abundant number, since it is smaller than the sum of its proper divisors (8542245800).

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

5322101200 is a wasteful number, since it uses less digits than its factorization.

5322101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7049 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5322101200 is about 72952.7326424446. The cubic root of 5322101200 is about 1745.9335459033.

Adding to 5322101200 its reverse (21012235), we get a palindrome (5343113435).

The spelling of 5322101200 in words is "five billion, three hundred twenty-two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 149 200 208 260 298 325 400 520 596 650 745 1040 1192 1300 1490 1937 2384 2600 2980 3725 3874 5200 5960 6869 7450 7748 9685 11920 13738 14900 15496 19370 27476 29800 30992 34345 38740 48425 54952 59600 68690 77480 89297 96850 109904 137380 154960 171725 178594 193700 274760 343450 357188 387400 446485 549520 686900 714376 774800 892970 1023481 1373800 1428752 1785940 2046962 2232425 2747600 3571880 4093924 4464850 5117405 7143760 8187848 8929700 10234810 13305253 16375696 17859400 20469620 25587025 26610506 35718800 40939240 51174050 53221012 66526265 81878480 102348100 106442024 133052530 204696200 212884048 266105060 332631325 409392400 532210120 665262650 1064420240 1330525300 2661050600 5322101200