Search a number
-
+
3011101002 = 2327136727437
BaseRepresentation
bin1011001101111001…
…1100000101001010
321202211220210001100
42303132130011022
522131320213002
61214442202230
7134421636060
oct26336340512
97684823040
103011101002
111305762828
127004b3376
1338caa0290
14207c96030
1512953811c
hexb379c14a

3011101002 has 96 divisors (see below), whose sum is σ = 8149744512. Its totient is φ = 782255232.

The previous prime is 3011100991. The next prime is 3011101043. The reversal of 3011101002 is 2001011103.

3011101002 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 (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96028 + ... + 123464.

It is an arithmetic number, because the mean of its divisors is an integer number (84893172).

Almost surely, 23011101002 is an apocalyptic number.

It is a pronic number, being equal to 54873×54874.

It is a practical number, because each smaller number is the sum of distinct divisors of 3011101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074872256).

3011101002 is an abundant number, since it is smaller than the sum of its proper divisors (5138643510).

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

3011101002 is a wasteful number, since it uses less digits than its factorization.

3011101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27532 (or 27529 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 3011101002 is about 54873.4999977220. The cubic root of 3011101002 is about 1444.0263156296.

Adding to 3011101002 its reverse (2001011103), we get a palindrome (5012112105).

The spelling of 3011101002 in words is "three billion, eleven million, one hundred one thousand, two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 67 78 91 117 126 134 182 201 234 273 402 469 546 603 819 871 938 1206 1407 1638 1742 2613 2814 4221 5226 6097 7839 8442 12194 15678 18291 27437 36582 54873 54874 82311 109746 164622 192059 246933 356681 384118 493866 576177 713362 1070043 1152354 1728531 1838279 2140086 2496767 3210129 3457062 3676558 4993534 5514837 6420258 7490301 11029674 12867953 14980602 16544511 22470903 23897627 25735906 33089022 38603859 44941806 47795254 71692881 77207718 115811577 143385762 167283389 215078643 231623154 334566778 430157286 501850167 1003700334 1505550501 3011101002