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3101073144 = 23313191074889
BaseRepresentation
bin1011100011010110…
…1001111011111000
322000010012211121220
42320311221323320
522322333320034
61231414432040
7136563454401
oct27065517370
98003184556
103101073144
111351525174
12726662620
133a5612630
14215bd69a8
151323ab749
hexb8d69ef8

3101073144 has 128 divisors (see below), whose sum is σ = 8872416000. Its totient is φ = 895325184.

The previous prime is 3101073103. The next prime is 3101073167. The reversal of 3101073144 is 4413701013.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 631852 + ... + 636740.

It is an arithmetic number, because the mean of its divisors is an integer number (69315750).

Almost surely, 23101073144 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 3101073144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436208000).

3101073144 is an abundant number, since it is smaller than the sum of its proper divisors (5771342856).

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

3101073144 is a wasteful number, since it uses less digits than its factorization.

3101073144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3101073144 is about 55687.2799120230. The cubic root of 3101073144 is about 1458.2679692093.

Adding to 3101073144 its reverse (4413701013), we get a palindrome (7514774157).

The spelling of 3101073144 in words is "three billion, one hundred one million, seventy-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 107 114 152 156 214 228 247 312 321 428 456 494 642 741 856 988 1284 1391 1482 1976 2033 2568 2782 2964 4066 4173 4889 5564 5928 6099 8132 8346 9778 11128 12198 14667 16264 16692 19556 24396 26429 29334 33384 39112 48792 52858 58668 63557 79287 92891 105716 117336 127114 158574 185782 190671 211432 254228 278673 317148 371564 381342 508456 523123 557346 634296 743128 762684 1046246 1114692 1207583 1525368 1569369 2092492 2229384 2415166 3138738 3622749 4184984 4830332 6277476 6800599 7245498 9660664 9939337 12554952 13601198 14490996 19878674 20401797 27202396 28981992 29818011 39757348 40803594 54404792 59636022 79514696 81607188 119272044 129211381 163214376 238544088 258422762 387634143 516845524 775268286 1033691048 1550536572 3101073144