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31311013300 = 22527436117053
BaseRepresentation
bin11101001010010010…
…000010010110110100
32222211010012021112021
4131022102002112310
51003111104411200
622214543402524
72155626136030
oct351222022664
988733167467
1031311013300
11123082837a6
126099bb3444
132c4cb87c08
1417305d51c0
15c33c9241a
hex74a4825b4

31311013300 has 144 divisors (see below), whose sum is σ = 80764469632. Its totient is φ = 10313049600.

The previous prime is 31311013289. The next prime is 31311013301. The reversal of 31311013300 is 331011313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31311013301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1827574 + ... + 1844626.

Almost surely, 231311013300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31311013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40382234816).

31311013300 is an abundant number, since it is smaller than the sum of its proper divisors (49453456332).

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

31311013300 is a wasteful number, since it uses less digits than its factorization.

31311013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17178 (or 17171 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 31311013300 its reverse (331011313), we get a palindrome (31642024613).

It can be divided in two parts, 31311013 and 300, that added together give a palindrome (31311313).

The spelling of 31311013300 in words is "thirty-one billion, three hundred eleven million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 61 70 86 100 122 140 172 175 215 244 301 305 350 427 430 602 610 700 854 860 1075 1204 1220 1505 1525 1708 2135 2150 2623 3010 3050 4270 4300 5246 6020 6100 7525 8540 10492 10675 13115 15050 17053 18361 21350 26230 30100 34106 36722 42700 52460 65575 68212 73444 85265 91805 119371 131150 170530 183610 238742 262300 341060 367220 426325 459025 477484 596855 733279 852650 918050 1040233 1193710 1466558 1705300 1836100 2080466 2387420 2933116 2984275 3666395 4160932 5132953 5201165 5968550 7281631 7332790 10265906 10402330 11937100 14563262 14665580 18331975 20531812 20804660 25664765 26005825 29126524 36408155 36663950 44730019 51329530 52011650 72816310 73327900 89460038 102659060 104023300 128323825 145632620 178920076 182040775 223650095 256647650 313110133 364081550 447300190 513295300 626220266 728163100 894600380 1118250475 1252440532 1565550665 2236500950 3131101330 4473001900 6262202660 7827753325 15655506650 31311013300