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1302012144 = 24341317669
BaseRepresentation
bin100110110011011…
…0010000011110000
310100201222001220000
41031212302003300
510131303342034
6333110350000
744156630526
oct11546620360
93321861800
101302012144
11608a51aa4
1230405b300
13179990ab4
14c4cc6316
157948b599
hex4d9b20f0

1302012144 has 100 divisors (see below), whose sum is σ = 3797662440. Its totient is φ = 430634880.

The previous prime is 1302012137. The next prime is 1302012149. The reversal of 1302012144 is 4412102031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302012149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 165942 + ... + 173610.

Almost surely, 21302012144 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 1302012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898831220).

1302012144 is an abundant number, since it is smaller than the sum of its proper divisors (2495650296).

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

1302012144 is a wasteful number, since it uses less digits than its factorization.

1302012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7820 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1302012144 is about 36083.4053825301. The cubic root of 1302012144 is about 1091.9556798822.

Adding to 1302012144 its reverse (4412102031), we get a palindrome (5714114175).

The spelling of 1302012144 in words is "one billion, three hundred two million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 131 144 162 216 262 324 393 432 524 648 786 1048 1179 1296 1572 2096 2358 3144 3537 4716 6288 7074 7669 9432 10611 14148 15338 18864 21222 23007 28296 30676 42444 46014 56592 61352 69021 84888 92028 122704 138042 169776 184056 207063 276084 368112 414126 552168 621189 828252 1004639 1104336 1242378 1656504 2009278 2484756 3013917 3313008 4018556 4969512 6027834 8037112 9041751 9939024 12055668 16074224 18083502 24111336 27125253 36167004 48222672 54250506 72334008 81375759 108501012 144668016 162751518 217002024 325503036 434004048 651006072 1302012144