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31300220120 = 235133113714173
BaseRepresentation
bin11101001001101000…
…110111010011011000
32222210100212221001212
4131021220313103120
51003100324020440
622213520202252
72155435324031
oct351150672330
988710787055
1031300220120
1112302181714
126096469388
132c4a879310
14172cdc5a88
15c32d5e465
hex749a374d8

31300220120 has 128 divisors (see below), whose sum is σ = 78866403840. Its totient is φ = 11101777920.

The previous prime is 31300220117. The next prime is 31300220131. The reversal of 31300220120 is 2102200313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31300220095 and 31300220104.

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, 2201354 + ... + 2215526.

It is an arithmetic number, because the mean of its divisors is an integer number (616143780).

Almost surely, 231300220120 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 31300220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39433201920).

31300220120 is an abundant number, since it is smaller than the sum of its proper divisors (47566183720).

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

31300220120 is a wasteful number, since it uses less digits than its factorization.

31300220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14365 (or 14361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 31300220120 its reverse (2102200313), we get a palindrome (33402420433).

The spelling of 31300220120 in words is "thirty-one billion, three hundred million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 137 155 248 260 274 310 403 520 548 620 685 806 1096 1240 1370 1612 1781 2015 2740 3224 3562 4030 4247 5480 7124 8060 8494 8905 14173 14248 16120 16988 17810 21235 28346 33976 35620 42470 55211 56692 70865 71240 84940 110422 113384 141730 169880 184249 220844 276055 283460 368498 439363 441688 552110 566920 736996 878726 921245 1104220 1473992 1757452 1842490 1941701 2196815 2208440 3514904 3684980 3883402 4393630 5711719 7369960 7766804 8787260 9708505 11423438 15533608 17574520 19417010 22846876 25242113 28558595 38834020 45693752 50484226 57117190 60192731 77668040 100968452 114234380 120385462 126210565 201936904 228468760 240770924 252421130 300963655 481541848 504842260 601927310 782505503 1009684520 1203854620 1565011006 2407709240 3130022012 3912527515 6260044024 7825055030 15650110060 31300220120