Search a number
-
+
12011400210 = 2356727122051
BaseRepresentation
bin10110010111110111…
…10110110000010010
31011000002120100111110
423023323312300102
5144044404301320
65303513554150
7603440134335
oct131373666022
934002510443
1012011400210
115104138837
1223b2715956
131195626804
1481d34861c
154a47735e0
hex2cbef6c12

12011400210 has 64 divisors (see below), whose sum is σ = 29366913024. Its totient is φ = 3143448000.

The previous prime is 12011400199. The next prime is 12011400263. The reversal of 12011400210 is 1200411021.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 533685 + ... + 555735.

It is an arithmetic number, because the mean of its divisors is an integer number (458858016).

Almost surely, 212011400210 is an apocalyptic number.

12011400210 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 12011400210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683456512).

12011400210 is an abundant number, since it is smaller than the sum of its proper divisors (17355512814).

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

12011400210 is a wasteful number, since it uses less digits than its factorization.

12011400210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22399.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12011400210 its reverse (1200411021), we get a palindrome (13211811231).

The spelling of 12011400210 in words is "twelve billion, eleven million, four hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 271 335 402 542 670 813 1005 1355 1626 2010 2710 4065 8130 18157 22051 36314 44102 54471 66153 90785 108942 110255 132306 181570 220510 272355 330765 544710 661530 1477417 2954834 4432251 5975821 7387085 8864502 11951642 14774170 17927463 22161255 29879105 35854926 44322510 59758210 89637315 179274630 400380007 800760014 1201140021 2001900035 2402280042 4003800070 6005700105 12011400210