Search a number
-
+
31111201200120 = 2335587441669523
BaseRepresentation
bin1110001001011101001000…
…00110001001011111111000
311002011012110002210110010120
413010232210012021133320
513034211220001400440
6150100142153213240
76360465365632656
oct704564406113770
9132135402713116
1031111201200120
119a05206012528
1235a5686401220
131448a09a29492
14797b0c339dd6
1538e418d0ddd0
hex1c4ba41897f8

31111201200120 has 64 divisors (see below), whose sum is σ = 93492604840320. Its totient is φ = 8282186876544.

The previous prime is 31111201200077. The next prime is 31111201200133. The reversal of 31111201200120 is 2100210211113.

It is a super-3 number, since 3×311112012001203 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31111201200120.

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, 220764322 + ... + 220905201.

It is an arithmetic number, because the mean of its divisors is an integer number (1460821950630).

Almost surely, 231111201200120 is an apocalyptic number.

31111201200120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31111201200120 is an abundant number, since it is smaller than the sum of its proper divisors (62381403640200).

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

31111201200120 is a wasteful number, since it uses less digits than its factorization.

31111201200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441670124 (or 441670120 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 31111201200120 its reverse (2100210211113), we get a palindrome (33211411411233).

The spelling of 31111201200120 in words is "thirty-one trillion, one hundred eleven billion, two hundred one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 587 1174 1761 2348 2935 3522 4696 5870 7044 8805 11740 14088 17610 23480 35220 70440 441669523 883339046 1325008569 1766678092 2208347615 2650017138 3533356184 4416695230 5300034276 6625042845 8833390460 10600068552 13250085690 17666780920 26500171380 53000342760 259260010001 518520020002 777780030003 1037040040004 1296300050005 1555560060006 2074080080008 2592600100010 3111120120012 3888900150015 5185200200020 6222240240024 7777800300030 10370400400040 15555600600060 31111201200120