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13111022848 = 28711976857
BaseRepresentation
bin11000011010111101…
…00101010100000000
31020211201200222011211
430031132211110000
5203322410212343
610004554415504
7642621566260
oct141536452400
936751628154
1013111022848
115618915580
12265aa31594
13130c3a47b1
148c53c97a0
1551b08279d
hex30d7a5500

13111022848 has 144 divisors (see below), whose sum is σ = 32969752704. Its totient is φ = 5054791680.

The previous prime is 13111022843. The next prime is 13111022867. The reversal of 13111022848 is 84822011131.

It is a super-2 number, since 2×131110228482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111022843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1908636 + ... + 1915492.

It is an arithmetic number, because the mean of its divisors is an integer number (228956616).

Almost surely, 213111022848 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 13111022848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16484876352).

13111022848 is an abundant number, since it is smaller than the sum of its proper divisors (19858729856).

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

13111022848 is an equidigital number, since it uses as much as digits as its factorization.

13111022848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988 (or 6974 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

Adding to 13111022848 its reverse (84822011131), we get a palindrome (97933033979).

The spelling of 13111022848 in words is "thirteen billion, one hundred eleven million, twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 97 112 128 154 176 194 224 256 308 352 388 448 616 679 704 776 896 1067 1232 1358 1408 1552 1792 2134 2464 2716 2816 3104 4268 4928 5432 6208 6857 7469 8536 9856 10864 12416 13714 14938 17072 19712 21728 24832 27428 29876 34144 43456 47999 54856 59752 68288 75427 86912 95998 109712 119504 136576 150854 173824 191996 219424 239008 273152 301708 383992 438848 478016 527989 603416 665129 767984 877696 956032 1055978 1206832 1330258 1535968 1755392 1912064 2111956 2413664 2660516 3071936 4223912 4655903 4827328 5321032 6143872 7316419 8447824 9311806 9654656 10642064 12287744 14632838 16895648 18623612 19309312 21284128 29265676 33791296 37247224 42568256 51214933 58531352 67582592 74494448 85136512 102429866 117062704 135165184 148988896 170273024 204859732 234125408 297977792 409719464 468250816 595955584 819438928 936501632 1191911168 1638877856 1873003264 3277755712 6555511424 13111022848