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1311020120 = 235435912919
BaseRepresentation
bin100111000100100…
…1001010001011000
310101100220201111202
41032021021101120
510141110120440
6334031413332
744326326044
oct11611112130
93340821452
101311020120
11613044903
12307084248
1317b7c5c67
14c618d024
157a16a615
hex4e249458

1311020120 has 64 divisors (see below), whose sum is σ = 3069792000. Its totient is φ = 503491968.

The previous prime is 1311020099. The next prime is 1311020147. The reversal of 1311020120 is 210201131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95021 + ... + 107939.

It is an arithmetic number, because the mean of its divisors is an integer number (47965500).

Almost surely, 21311020120 is an apocalyptic number.

1311020120 is a gapful number since it is divisible by the number (10) 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 1311020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534896000).

1311020120 is an abundant number, since it is smaller than the sum of its proper divisors (1758771880).

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

1311020120 is a wasteful number, since it uses less digits than its factorization.

1311020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13032 (or 13028 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1311020120 is about 36208.0118205902. The cubic root of 1311020120 is about 1094.4681278159.

Adding to 1311020120 its reverse (210201131), we get a palindrome (1521221251).

The spelling of 1311020120 in words is "one billion, three hundred eleven million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 59 86 118 172 215 236 295 344 430 472 590 860 1180 1720 2360 2537 5074 10148 12685 12919 20296 25370 25838 50740 51676 64595 101480 103352 129190 258380 516760 555517 762221 1111034 1524442 2222068 2777585 3048884 3811105 4444136 5555170 6097768 7622210 11110340 15244420 22220680 30488840 32775503 65551006 131102012 163877515 262204024 327755030 655510060 1311020120