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11013020131232 = 257372934535123
BaseRepresentation
bin1010000001000010101100…
…1001110001111110100000
31102222211112022022212122002
42200100223021301332200
52420414131123144412
635231151150103132
72214443622364520
oct240205311617640
942884468285562
1011013020131232
113566660834249
12129a4921aaaa8
1361b6a5a23b12
142a1066861680
15141719785dc2
hexa042b271fa0

11013020131232 has 96 divisors (see below), whose sum is σ = 25535868285312. Its totient is φ = 4576627436544.

The previous prime is 11013020131229. The next prime is 11013020131279. The reversal of 11013020131232 is 23213102031011.

It is a happy number.

It is a super-2 number, since 2×110130201312322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160823 + ... + 4695945.

It is an arithmetic number, because the mean of its divisors is an integer number (265998627972).

Almost surely, 211013020131232 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 11013020131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767934142656).

11013020131232 is an abundant number, since it is smaller than the sum of its proper divisors (14522848154080).

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

11013020131232 is a wasteful number, since it uses less digits than its factorization.

11013020131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535470 (or 4535462 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11013020131232 its reverse (23213102031011), we get a palindrome (34226122162243).

The spelling of 11013020131232 in words is "eleven trillion, thirteen billion, twenty million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 293 296 518 586 592 1036 1172 1184 2051 2072 2344 4102 4144 4688 8204 8288 9376 10841 16408 21682 32816 43364 65632 75887 86728 151774 173456 303548 346912 607096 1214192 2428384 4535123 9070246 18140492 31745861 36280984 63491722 72561968 126983444 145123936 167799551 253966888 335599102 507933776 671198204 1015867552 1174596857 1328791039 1342396408 2349193714 2657582078 2684792816 4698387428 5315164156 5369585632 9301537273 9396774856 10630328312 18603074546 18793549712 21260656624 37206149092 37587099424 42521313248 49165268443 74412298184 98330536886 148824596368 196661073772 297649192736 344156879101 393322147544 688313758202 786644295088 1376627516404 1573288590176 2753255032808 5506510065616 11013020131232