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11013020313312 = 2532343151115589
BaseRepresentation
bin1010000001000010101100…
…1010011110011011100000
31102222211112022200010101210
42200100223022132123200
52420414131200011222
635231151154030120
72214443624053413
oct240205312363340
942884468603353
1011013020313312
113566660949026
12129a492278340
1361b6a5a88964
142a10668abb7a
151417197bed0c
hexa042b29e6e0

11013020313312 has 96 divisors (see below), whose sum is σ = 30167059184640. Its totient is φ = 3511286028800.

The previous prime is 11013020313301. The next prime is 11013020313359. The reversal of 11013020313312 is 21331302031011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 95219614 + ... + 95335202.

It is an arithmetic number, because the mean of its divisors is an integer number (314240199840).

Almost surely, 211013020313312 is an apocalyptic number.

11013020313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11013020313312 is an abundant number, since it is smaller than the sum of its proper divisors (19154038871328).

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

11013020313312 is a wasteful number, since it uses less digits than its factorization.

11013020313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158776 (or 158768 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11013020313312 its reverse (21331302031011), we get a palindrome (32344322344323).

The spelling of 11013020313312 in words is "eleven trillion, thirteen billion, twenty million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 43151 86302 115589 129453 172604 231178 258906 345208 346767 462356 517812 690416 693534 924712 992473 1035624 1380832 1387068 1849424 1984946 2071248 2658547 2774136 2977419 3698848 3969892 4142496 5317094 5548272 5954838 7939784 7975641 10634188 11096544 11909676 15879568 15951282 21268376 23819352 31759136 31902564 42536752 47638704 63805128 85073504 95277408 127610256 255220512 4987780939 9975561878 14963342817 19951123756 29926685634 39902247512 59853371268 79804495024 114718961597 119706742536 159608990048 229437923194 239413485072 344156884791 458875846388 478826970144 688313769582 917751692776 1376627539164 1835503385552 2753255078328 3671006771104 5506510156656 11013020313312