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10816148112 = 2437113897523
BaseRepresentation
bin10100001001011000…
…10101001010010000
31000220210111020212020
422010230111022100
5134122413214422
64545135331440
7532014512340
oct120454251220
930823436766
1010816148112
114650485190
12211a380b80
131034b05453
147486d2d20
1543487495c
hex284b15290

10816148112 has 160 divisors (see below), whose sum is σ = 34930621440. Its totient is φ = 2801794560.

The previous prime is 10816148111. The next prime is 10816148113. The reversal of 10816148112 is 21184161801.

It is an interprime number because it is at equal distance from previous prime (10816148111) and next prime (10816148113).

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

It is not an unprimeable number, because it can be changed into a prime (10816148111) 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, 1433983 + ... + 1441505.

It is an arithmetic number, because the mean of its divisors is an integer number (218316384).

Almost surely, 210816148112 is an apocalyptic number.

10816148112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10816148112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17465310720).

10816148112 is an abundant number, since it is smaller than the sum of its proper divisors (24114473328).

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

10816148112 is a wasteful number, since it uses less digits than its factorization.

10816148112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7941 (or 7935 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The spelling of 10816148112 in words is "ten billion, eight hundred sixteen million, one hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 389 462 528 616 778 924 1167 1232 1556 1848 2334 2723 3112 3696 4279 4668 5446 6224 7523 8169 8558 9336 10892 12837 15046 16338 17116 18672 21784 22569 25674 29953 30092 32676 34232 43568 45138 51348 52661 59906 60184 65352 68464 82753 89859 90276 102696 105322 119812 120368 130704 157983 165506 179718 180552 205392 210644 239624 248259 315966 331012 359436 361104 421288 479248 496518 579271 631932 662024 718872 842576 993036 1158542 1263864 1324048 1437744 1737813 1986072 2317084 2527728 2926447 3475626 3972144 4634168 5852894 6951252 8779341 9268336 11705788 13902504 17558682 20485129 23411576 27805008 32190917 35117364 40970258 46823152 61455387 64381834 70234728 81940516 96572751 122910774 128763668 140469456 163881032 193145502 225336419 245821548 257527336 327762064 386291004 450672838 491643096 515054672 676009257 772582008 901345676 983286192 1352018514 1545164016 1802691352 2704037028 3605382704 5408074056 10816148112