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31542434310 = 23553149211631
BaseRepresentation
bin11101011000000100…
…110101101000000110
310000102020122200110210
4131120010311220012
51004044330344220
622253531500250
72164436160612
oct353004655006
9100366580423
1031542434310
1112416977832
1261435b7686
132c88ac3c1a
141753236342
15c492566e0
hex758135a06

31542434310 has 128 divisors (see below), whose sum is σ = 78139468800. Its totient is φ = 8145446400.

The previous prime is 31542434309. The next prime is 31542434327. The reversal of 31542434310 is 1343424513.

It is a super-2 number, since 2×315424343102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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, 49987695 + ... + 49988325.

It is an arithmetic number, because the mean of its divisors is an integer number (610464600).

Almost surely, 231542434310 is an apocalyptic number.

31542434310 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 31542434310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39069734400).

31542434310 is an abundant number, since it is smaller than the sum of its proper divisors (46597034490).

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

31542434310 is a wasteful number, since it uses less digits than its factorization.

31542434310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 31542434310 its reverse (1343424513), we get a palindrome (32885858823).

The spelling of 31542434310 in words is "thirty-one billion, five hundred forty-two million, four hundred thirty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 149 159 211 265 298 318 422 447 530 631 633 745 795 894 1055 1262 1266 1490 1590 1893 2110 2235 3155 3165 3786 4470 6310 6330 7897 9465 11183 15794 18930 22366 23691 31439 33443 33549 39485 47382 55915 62878 66886 67098 78970 94019 94317 100329 111830 118455 133141 157195 167215 167745 188038 188634 200658 236910 266282 282057 314390 334430 335490 399423 470095 471585 501645 564114 665705 798846 940190 943170 1003290 1331410 1410285 1666267 1997115 2820570 3332534 3994230 4983007 4998801 7056473 8331335 9966014 9997602 14112946 14949021 16662670 19838009 21169419 24915035 24994005 29898042 35282365 39676018 42338838 49830070 49988010 59514027 70564730 74745105 99190045 105847095 119028054 149490210 198380090 211694190 297570135 595140270 1051414477 2102828954 3154243431 5257072385 6308486862 10514144770 15771217155 31542434310