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3100002312 = 23311472291091
BaseRepresentation
bin1011100011000110…
…0100100000001000
322000001012102201110
42320301210200020
522322100033222
61231335450320
7136551404421
oct27061444010
98001172643
103100002312
111350963690
127262269a0
133a53290c4
142159d8648
1513224930c
hexb8c64808

3100002312 has 128 divisors (see below), whose sum is σ = 8680089600. Its totient is φ = 914553600.

The previous prime is 3100002289. The next prime is 3100002313. The reversal of 3100002312 is 2132000013.

It is a happy number.

It is a super-2 number, since 2×31000023122 = 19220028668810690688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3100002313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2840887 + ... + 2841977.

It is an arithmetic number, because the mean of its divisors is an integer number (67813200).

Almost surely, 23100002312 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 3100002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340044800).

3100002312 is an abundant number, since it is smaller than the sum of its proper divisors (5580087288).

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

3100002312 is a wasteful number, since it uses less digits than its factorization.

3100002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3100002312 is about 55677.6643906693. The cubic root of 3100002312 is about 1458.1000983134.

Adding to 3100002312 its reverse (2132000013), we get a palindrome (5232002325).

The spelling of 3100002312 in words is "three billion, one hundred million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 229 264 282 376 458 517 564 687 916 1034 1091 1128 1374 1551 1832 2068 2182 2519 2748 3102 3273 4136 4364 5038 5496 6204 6546 7557 8728 10076 10763 12001 12408 13092 15114 20152 21526 24002 26184 30228 32289 36003 43052 48004 51277 60456 64578 72006 86104 96008 102554 118393 129156 144012 153831 205108 236786 249839 258312 288024 307662 355179 410216 473572 499678 564047 615324 710358 749517 947144 999356 1128094 1230648 1420716 1499034 1692141 1998712 2256188 2748229 2841432 2998068 3384282 4512376 5496458 5996136 6768564 8244687 10992916 11742433 13537128 16489374 21985832 23484866 32978748 35227299 46969732 65957496 70454598 93939464 129166763 140909196 258333526 281818392 387500289 516667052 775000578 1033334104 1550001156 3100002312