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16313321310 = 23511135576827
BaseRepresentation
bin11110011000101100…
…11000011101011110
31120002220101120211120
433030112120131132
5231402202240220
611254431031410
71115154641346
oct171426303536
946086346746
1016313321310
116a11498830
1231b336b566
1316cc969560
14b0a811d26
15657286a40
hex3cc59875e

16313321310 has 128 divisors (see below), whose sum is σ = 46086050304. Its totient is φ = 3643445760.

The previous prime is 16313321293. The next prime is 16313321351. The reversal of 16313321310 is 1312331361.

It is a super-2 number, since 2×163133213102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2386117 + ... + 2392943.

It is an arithmetic number, because the mean of its divisors is an integer number (360047268).

Almost surely, 216313321310 is an apocalyptic number.

16313321310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16313321310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23043025152).

16313321310 is an abundant number, since it is smaller than the sum of its proper divisors (29772728994).

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

16313321310 is a wasteful number, since it uses less digits than its factorization.

16313321310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7418.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 16313321310 its reverse (1312331361), we get a palindrome (17625652671).

The spelling of 16313321310 in words is "sixteen billion, three hundred thirteen million, three hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 557 715 858 1114 1430 1671 2145 2785 3342 4290 5570 6127 6827 7241 8355 12254 13654 14482 16710 18381 20481 21723 30635 34135 36205 36762 40962 43446 61270 68270 72410 75097 79651 88751 91905 102405 108615 150194 159302 177502 183810 204810 217230 225291 238953 266253 375485 398255 443755 450582 477906 532506 750970 796510 887510 976261 1126455 1194765 1331265 1952522 2252910 2389530 2662530 2928783 3802639 4881305 5857566 7605278 9762610 11407917 14643915 19013195 22815834 29287830 38026390 41829029 49434307 57039585 83658058 98868614 114079170 125487087 148302921 209145145 247171535 250974174 296605842 418290290 494343070 543777377 627435435 741514605 1087554754 1254870870 1483029210 1631332131 2718886885 3262664262 5437773770 8156660655 16313321310