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31443340411230 = 235112320047206651
BaseRepresentation
bin1110010011000111110010…
…01000101100000101011110
311010022221202110022120012220
413021203321020230011132
513110131430121124410
6150512512101210210
76423464200432266
oct711437110540536
9133287673276186
1031443340411230
11a023055a32820
123639b1b100966
13147112c189767
147a9c19a5c7a6
15397da7d07070
hex1c98f922c15e

31443340411230 has 128 divisors (see below), whose sum is σ = 85908403961856. Its totient is φ = 7290810384000.

The previous prime is 31443340411213. The next prime is 31443340411247. The reversal of 31443340411230 is 3211404334413.

It is an interprime number because it is at equal distance from previous prime (31443340411213) and next prime (31443340411247).

It is a super-2 number, since 2×314433404112302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31443340411191 and 31443340411200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152053405 + ... + 152260055.

It is an arithmetic number, because the mean of its divisors is an integer number (671159405952).

Almost surely, 231443340411230 is an apocalyptic number.

31443340411230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31443340411230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42954201980928).

31443340411230 is an abundant number, since it is smaller than the sum of its proper divisors (54465063550626).

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

31443340411230 is a wasteful number, since it uses less digits than its factorization.

31443340411230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226742.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 31443340411230 its reverse (3211404334413), we get a palindrome (34654744745643).

The spelling of 31443340411230 in words is "thirty-one trillion, four hundred forty-three billion, three hundred forty million, four hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 7590 20047 40094 60141 100235 120282 200470 206651 220517 300705 413302 441034 461081 601410 619953 661551 922162 1033255 1102585 1239906 1323102 1383243 2066510 2205170 2273161 2305405 2766486 3099765 3307755 4546322 4610810 4752973 5071891 6199530 6615510 6819483 6916215 9505946 10143782 11365805 13638966 13832430 14258919 15215673 22731610 23764865 25359455 28517838 30431346 34097415 47529730 50718910 52282703 68194830 71294595 76078365 104565406 142589190 152156730 156848109 261413515 313696218 522827030 784240545 1568481090 4142732597 8285465194 12428197791 20713662985 24856395582 41427325970 45570058567 62140988955 91140117134 95282849731 124281977910 136710175701 190565699462 227850292835 273420351402 285848549193 455700585670 476414248655 571697098386 683550878505 952828497310 1048111347041 1367101757010 1429242745965 2096222694082 2858485491930 3144334041123 5240556735205 6288668082246 10481113470410 15721670205615 31443340411230