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3101133132 = 22321747131823
BaseRepresentation
bin1011100011010111…
…1000100101001100
322000010022212220200
42320311320211030
522322342230012
61231420013500
7136564124316
oct27065704514
98003285820
103101133132
111351566249
12726691290
133a5633a26
14215c107b6
151323be3dc
hexb8d7894c

3101133132 has 144 divisors (see below), whose sum is σ = 8551775232. Its totient is φ = 943787520.

The previous prime is 3101133131. The next prime is 3101133137. The reversal of 3101133132 is 2313311013.

It is a happy number.

3101133132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3101133131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3767673 + ... + 3768495.

It is an arithmetic number, because the mean of its divisors is an integer number (59387328).

Almost surely, 23101133132 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 3101133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275887616).

3101133132 is an abundant number, since it is smaller than the sum of its proper divisors (5450642100).

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

3101133132 is a wasteful number, since it uses less digits than its factorization.

3101133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3101133132 is about 55687.8185243416. The cubic root of 3101133132 is about 1458.2773721924.

Adding to 3101133132 its reverse (2313311013), we get a palindrome (5414444145).

The spelling of 3101133132 in words is "three billion, one hundred one million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 131 141 153 188 204 262 282 306 393 423 524 564 612 786 799 823 846 1179 1572 1598 1646 1692 2227 2358 2397 2469 3196 3292 4454 4716 4794 4938 6157 6681 7191 7407 8908 9588 9876 12314 13362 13991 14382 14814 18471 20043 24628 26724 27982 28764 29628 36942 38681 40086 41973 55413 55964 73884 77362 80172 83946 104669 107813 110826 116043 125919 154724 167892 209338 215626 221652 232086 251838 314007 323439 348129 418676 431252 464172 503676 628014 646878 657577 696258 942021 970317 1256028 1293756 1315154 1392516 1832821 1884042 1940634 1972731 2630308 3665642 3768084 3881268 3945462 5067211 5498463 5918193 7331284 7890924 10134422 10996926 11836386 15201633 16495389 20268844 21993852 23672772 30403266 32990778 45604899 60806532 65981556 86142587 91209798 172285174 182419596 258427761 344570348 516855522 775283283 1033711044 1550566566 3101133132