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311010420 = 223574118061
BaseRepresentation
bin10010100010011…
…010010001110100
3210200012222002110
4102202122101310
51114104313140
650510011020
710464354630
oct2242322164
9720188073
10311010420
1114a614806
12881a6a70
134c584546
142d43bdc0
151c486380
hex1289a474

311010420 has 96 divisors (see below), whose sum is σ = 1019563776. Its totient is φ = 69350400.

The previous prime is 311010409. The next prime is 311010431. The reversal of 311010420 is 24010113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (311010409) and next prime (311010431).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 311010396 and 311010405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8190 + ... + 26250.

It is an arithmetic number, because the mean of its divisors is an integer number (10620456).

Almost surely, 2311010420 is an apocalyptic number.

311010420 is a gapful number since it is divisible by the number (30) 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 311010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509781888).

311010420 is an abundant number, since it is smaller than the sum of its proper divisors (708553356).

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

311010420 is a wasteful number, since it uses less digits than its factorization.

311010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18121 (or 18119 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 311010420 is about 17635.4875180699. The cubic root of 311010420 is about 677.5244618374.

Adding to 311010420 its reverse (24010113), we get a palindrome (335020533).

It can be divided in two parts, 3110 and 10420, that added together give a triangular number (13530 = T164).

The spelling of 311010420 in words is "three hundred eleven million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3444 4305 5740 8610 17220 18061 36122 54183 72244 90305 108366 126427 180610 216732 252854 270915 361220 379281 505708 541830 632135 740501 758562 1083660 1264270 1481002 1517124 1896405 2221503 2528540 2962004 3702505 3792810 4443006 5183507 7405010 7585620 8886012 10367014 11107515 14810020 15550521 20734028 22215030 25917535 31101042 44430060 51835070 62202084 77752605 103670140 155505210 311010420