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31240201222104 = 2337617274193149
BaseRepresentation
bin1110001101001101011010…
…00110001011011111011000
311002121112102100002112210120
413012212231012023133120
513043314413003101404
6150235314511313240
76403013211010350
oct706465506133730
9132545370075716
1031240201222104
119a54993183346
12360668821b820
131457c276a0b34
147a0068aa1b60
15392968e979d9
hex1c69ad18b7d8

31240201222104 has 128 divisors (see below), whose sum is σ = 90845768832000. Its totient is φ = 8767369290240.

The previous prime is 31240201222037. The next prime is 31240201222133. The reversal of 31240201222104 is 40122210204213.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5353722 + ... + 9546870.

It is an arithmetic number, because the mean of its divisors is an integer number (709732569000).

Almost surely, 231240201222104 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 31240201222104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45422884416000).

31240201222104 is an abundant number, since it is smaller than the sum of its proper divisors (59605567609896).

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

31240201222104 is a wasteful number, since it uses less digits than its factorization.

31240201222104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193953 (or 4193949 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 31240201222104 its reverse (40122210204213), we get a palindrome (71362411426317).

The spelling of 31240201222104 in words is "thirty-one trillion, two hundred forty billion, two hundred one million, two hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 727 732 854 1281 1454 1464 1708 2181 2562 2908 3416 4362 5089 5124 5816 8724 10178 10248 15267 17448 20356 30534 40712 44347 61068 88694 122136 133041 177388 266082 310429 354776 532164 620858 931287 1064328 1241716 1862574 2483432 3725148 4193149 7450296 8386298 12579447 16772596 25158894 29352043 33545192 50317788 58704086 88056129 100635576 117408172 176112258 234816344 255782089 352224516 511564178 704449032 767346267 1023128356 1534692534 1790474623 2046256712 3048419323 3069385068 3580949246 5371423869 6096838646 6138770136 7161898492 9145257969 10742847738 12193677292 14323796984 18290515938 21338935261 21485695476 24387354584 36581031876 42677870522 42971390952 64016805783 73162063752 85355741044 128033611566 170711482088 185953578703 256067223132 371907157406 512134446264 557860736109 743814314812 1115721472218 1301675050921 1487628629624 2231442944436 2603350101842 3905025152763 4462885888872 5206700203684 7810050305526 10413400407368 15620100611052 31240201222104