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11123231001102 = 232112271979125053
BaseRepresentation
bin1010000111011101010000…
…1110111000101000001110
31110101101000002112011002100
42201313110032320220032
52424220334114013402
635353535231335530
72225425014334113
oct241672416705016
943341002464070
1011123231001102
1135a9376a10a80
1212b790b6815a6
13628bbab1279c
142a651da5690a
1514451a13371c
hexa1dd43b8a0e

11123231001102 has 96 divisors (see below), whose sum is σ = 26420648791680. Its totient is φ = 3354104727360.

The previous prime is 11123231001061. The next prime is 11123231001151. The reversal of 11123231001102 is 20110013232111.

11123231001102 is a `hidden beast` number, since 1 + 11 + 232 + 310 + 0 + 110 + 2 = 666.

It is a super-2 number, since 2×111232310011022 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 88885608 + ... + 89010660.

It is an arithmetic number, because the mean of its divisors is an integer number (275215091580).

Almost surely, 211123231001102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123231001102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13210324395840).

11123231001102 is an abundant number, since it is smaller than the sum of its proper divisors (15297417790578).

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

11123231001102 is a wasteful number, since it uses less digits than its factorization.

11123231001102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127278 (or 127275 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11123231001102 its reverse (20110013232111), we get a palindrome (31233244233213).

The spelling of 11123231001102 in words is "eleven trillion, one hundred twenty-three billion, two hundred thirty-one million, one thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 227 454 681 1362 1979 2043 2497 3958 4086 4994 5937 7491 11874 14982 17811 21769 22473 35622 43538 44946 65307 125053 130614 195921 250106 375159 391842 449233 750318 898466 1125477 1347699 1375583 2250954 2695398 2751166 4043097 4126749 4941563 8086194 8253498 9883126 12380247 14824689 24760494 28387031 29649378 44474067 56774062 85161093 88948134 170322186 247479887 255483279 312257341 494959774 510966558 624514682 742439661 936772023 1484879322 1873544046 2227318983 2722278757 2810316069 4454637966 5444557514 5620632138 8166836271 16333672542 24500508813 49001017626 56177934349 112355868698 168533803047 337067606094 505601409141 617957277839 1011202818282 1235914555678 1853871833517 3707743667034 5561615500551 11123231001102