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11132001210 = 23511227711071
BaseRepresentation
bin10100101111000010…
…01101101110111010
31001201210211020212010
422113201031232322
5140244243014320
65040341230350
7542601310011
oct122741155672
931653736763
1011132001210
1147a27a7300
1221a81023b6
131085393c85
14778631a78
15452465ae0
hex29784dbba

11132001210 has 96 divisors (see below), whose sum is σ = 29475081216. Its totient is φ = 2688681600.

The previous prime is 11132001197. The next prime is 11132001269. The reversal of 11132001210 is 1210023111.

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 47 ways as a sum of consecutive naturals, for example, 999975 + ... + 1011045.

It is an arithmetic number, because the mean of its divisors is an integer number (307032096).

Almost surely, 211132001210 is an apocalyptic number.

11132001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737540608).

11132001210 is an abundant number, since it is smaller than the sum of its proper divisors (18343080006).

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

11132001210 is a wasteful number, since it uses less digits than its factorization.

11132001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11380 (or 11369 counting only the distinct ones).

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

Adding to 11132001210 its reverse (1210023111), we get a palindrome (12342024321).

The spelling of 11132001210 in words is "eleven billion, one hundred thirty-two million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 277 330 363 554 605 726 831 1210 1385 1662 1815 2770 3047 3630 4155 6094 8310 9141 11071 15235 18282 22142 30470 33213 33517 45705 55355 66426 67034 91410 100551 110710 121781 166065 167585 201102 243562 332130 335170 365343 502755 608905 730686 1005510 1217810 1339591 1826715 2679182 3066667 3653430 4018773 6133334 6697955 8037546 9200001 13395910 15333335 18400002 20093865 30666670 33733337 40187730 46000005 67466674 92000010 101200011 168666685 202400022 337333370 371066707 506000055 742133414 1012000110 1113200121 1855333535 2226400242 3710667070 5566000605 11132001210