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5211444100 = 2252313734507
BaseRepresentation
bin1001101101010000…
…00101001110000100
3111110012020210100011
410312220011032010
541133112202400
62221043200004
7243100354402
oct46650051604
914405223304
105211444100
1122347a70a5
121015376004
136508c1b45
143761c2472
152077c18ba
hex136a05384

5211444100 has 72 divisors (see below), whose sum is σ = 11707528448. Its totient is φ = 2011478400.

The previous prime is 5211444097. The next prime is 5211444103. The reversal of 5211444100 is 14441125.

It is an interprime number because it is at equal distance from previous prime (5211444097) and next prime (5211444103).

It is not an unprimeable number, because it can be changed into a prime (5211444103) by changing a digit.

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, 1154047 + ... + 1158553.

Almost surely, 25211444100 is an apocalyptic number.

5211444100 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 5211444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853764224).

5211444100 is an abundant number, since it is smaller than the sum of its proper divisors (6496084348).

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

5211444100 is a wasteful number, since it uses less digits than its factorization.

5211444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 5211444100 is about 72190.3324552533. The cubic root of 5211444100 is about 1733.7482188158.

Adding to 5211444100 its reverse (14441125), we get a palindrome (5225885225).

The spelling of 5211444100 in words is "five billion, two hundred eleven million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 373 620 746 775 1492 1550 1865 3100 3730 4507 7460 9014 9325 11563 18028 18650 22535 23126 37300 45070 46252 57815 90140 112675 115630 139717 225350 231260 279434 289075 450700 558868 578150 698585 1156300 1397170 1681111 2794340 3362222 3492925 6724444 6985850 8405555 13971700 16811110 33622220 42027775 52114441 84055550 104228882 168111100 208457764 260572205 521144410 1042288820 1302861025 2605722050 5211444100