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11013402333032 = 2311225756597823
BaseRepresentation
bin1010000001000100000111…
…1011110000111101101000
31102222212111221111201221022
42200101001323300331220
52420420421444124112
635231253122032012
72214456243140501
oct240210173607550
942885457451838
1011013402333032
113566837553100
12129a57a1a8608
1361b736c73228
142a10a1511ba8
1514173d0d0d72
hexa0441ef0f68

11013402333032 has 96 divisors (see below), whose sum is σ = 22793335286400. Its totient is φ = 4985094512640.

The previous prime is 11013402333023. The next prime is 11013402333097. The reversal of 11013402333032 is 23033320431011.

It is a junction number, because it is equal to n+sod(n) for n = 11013402332992 and 11013402333010.

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 23 ways as a sum of consecutive naturals, for example, 1407819473 + ... + 1407827295.

It is an arithmetic number, because the mean of its divisors is an integer number (237430575900).

Almost surely, 211013402333032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11013402333032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11396667643200).

11013402333032 is an abundant number, since it is smaller than the sum of its proper divisors (11779932953368).

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

11013402333032 is a wasteful number, since it uses less digits than its factorization.

11013402333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13767 (or 13752 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 11013402333032 its reverse (23033320431011), we get a palindrome (34046722764043).

The spelling of 11013402333032 in words is "eleven trillion, thirteen billion, four hundred two million, three hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 257 484 514 968 1028 2056 2827 5654 5659 7823 11308 11318 15646 22616 22636 31097 31292 45272 62194 62249 62584 86053 124388 124498 172106 248776 248996 344212 497992 684739 688424 946583 1369478 1454363 1893166 2010511 2738956 2908726 3786332 4021022 5477912 5817452 7572664 8042044 11634904 15997993 16084088 22115621 31995986 44231242 44270357 63991972 88462484 88540714 127983944 175977923 176924968 177081428 243271831 351955846 354162856 486543662 486973927 703911692 973087324 973947854 1407823384 1946174648 1947895708 3895791416 5356713197 10713426394 11377481749 21426852788 22754963498 42853705576 45509926996 91019853992 125152299239 250304598478 500609196956 1001218393912 1376675291629 2753350583258 5506701166516 11013402333032