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201002011122 = 231110145765981
BaseRepresentation
bin1011101100110010100…
…1110100100111110010
3201012211011202010100110
42323030221310213302
511243123003323442
6232201122402150
720344005622143
oct2731451644762
9635734663313
10201002011122
1178276438a70
1232b57200356
1315c53ab1873
149a2b1d3aca
15536640169c
hex2ecca749f2

201002011122 has 64 divisors (see below), whose sum is σ = 443867776128. Its totient is φ = 60173760000.

The previous prime is 201002011117. The next prime is 201002011141. The reversal of 201002011122 is 221110200102.

It is a super-2 number, since 2×2010020111222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201002011098 and 201002011107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3013372 + ... + 3079352.

It is an arithmetic number, because the mean of its divisors is an integer number (6935434002).

Almost surely, 2201002011122 is an apocalyptic number.

201002011122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201002011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221933888064).

201002011122 is an abundant number, since it is smaller than the sum of its proper divisors (242865765006).

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

201002011122 is a wasteful number, since it uses less digits than its factorization.

201002011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66555.

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

Adding to 201002011122 its reverse (221110200102), we get a palindrome (422112211224).

It can be divided in two parts, 20100201 and 1122, that multiplied together give a palindrome (22552425522).

The spelling of 201002011122 in words is "two hundred one billion, two million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 457 606 914 1111 1371 2222 2742 3333 5027 6666 10054 15081 30162 46157 65981 92314 131962 138471 197943 276942 395886 507727 725791 1015454 1451582 1523181 2177373 3046362 4354746 6664081 13328162 19992243 30153317 39984486 60306634 73304891 90459951 146609782 180919902 219914673 331686487 439829346 663372974 995059461 1990118922 3045485017 6090970034 9136455051 18272910102 33500335187 67000670374 100501005561 201002011122