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5311111100 = 2252178593637
BaseRepresentation
bin1001111001001000…
…10001111110111100
3111201010210101202112
410330210101332330
541334121023400
62235003313152
7245420461631
oct47444217674
914633711675
105311111100
112285a90419
12104281b7b8
13668449bb9
14385528188
1521140c835
hex13c911fbc

5311111100 has 72 divisors (see below), whose sum is σ = 12220624080. Its totient is φ = 1996600320.

The previous prime is 5311111067. The next prime is 5311111129. The reversal of 5311111100 is 11111135.

It is a super-2 number, since 2×53111111002 = 56415802233086420000, which contains 22 as substring.

It is a nialpdrome in base 10.

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, 1458482 + ... + 1462118.

It is an arithmetic number, because the mean of its divisors is an integer number (169730890).

Almost surely, 25311111100 is an apocalyptic number.

5311111100 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 5311111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110312040).

5311111100 is an abundant number, since it is smaller than the sum of its proper divisors (6909512980).

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

5311111100 is a wasteful number, since it uses less digits than its factorization.

5311111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 14.

The square root of 5311111100 is about 72877.3702873533. The cubic root of 5311111100 is about 1744.7309377355.

Adding to 5311111100 its reverse (11111135), we get a palindrome (5322222235).

The spelling of 5311111100 in words is "five billion, three hundred eleven million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 859 1700 1718 3436 3637 4295 7274 8590 14548 14603 17180 18185 21475 29206 36370 42950 58412 61829 72740 73015 85900 90925 123658 146030 181850 247316 292060 309145 363700 365075 618290 730150 1236580 1460300 1545725 3091450 3124183 6182900 6248366 12496732 15620915 31241830 53111111 62483660 78104575 106222222 156209150 212444444 265555555 312418300 531111110 1062222220 1327777775 2655555550 5311111100