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311134302552 = 2331910316739667
BaseRepresentation
bin1001000011100010000…
…11001011000101011000
31002202002111002012110010
410201301003023011120
520044200340140202
6354533315521520
731323124635663
oct4416103130530
91082074065403
10311134302552
1110aa51225637
12503722b92a0
132345581a208
14110b7bb26da
15815ee2b76c
hex48710cb158

311134302552 has 128 divisors (see below), whose sum is σ = 831695155200. Its totient is φ = 96713958528.

The previous prime is 311134302541. The next prime is 311134302553. The reversal of 311134302552 is 255203431113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311134302553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7823823 + ... + 7863489.

It is an arithmetic number, because the mean of its divisors is an integer number (6497618400).

Almost surely, 2311134302552 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 311134302552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415847577600).

311134302552 is an abundant number, since it is smaller than the sum of its proper divisors (520560852648).

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

311134302552 is a wasteful number, since it uses less digits than its factorization.

311134302552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39965 (or 39961 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 311134302552 its reverse (255203431113), we get a palindrome (566337733665).

The spelling of 311134302552 in words is "three hundred eleven billion, one hundred thirty-four million, three hundred two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 103 114 152 167 206 228 309 334 412 456 501 618 668 824 1002 1236 1336 1957 2004 2472 3173 3914 4008 5871 6346 7828 9519 11742 12692 15656 17201 19038 23484 25384 34402 38076 39667 46968 51603 68804 76152 79334 103206 119001 137608 158668 206412 238002 317336 326819 412824 476004 653638 753673 952008 980457 1307276 1507346 1960914 2261019 2614552 3014692 3921828 4085701 4522038 6029384 6624389 7843656 8171402 9044076 12257103 13248778 16342804 18088152 19873167 24514206 26497556 32685608 39746334 49028412 52995112 77628319 79492668 98056824 125863391 155256638 158985336 232884957 251726782 310513276 377590173 465769914 503453564 621026552 682312067 755180346 931539828 1006907128 1364624134 1510360692 1863079656 2046936201 2729248268 3020721384 4093872402 5458496536 8187744804 12963929273 16375489608 25927858546 38891787819 51855717092 77783575638 103711434184 155567151276 311134302552