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11013225312 = 253537332953
BaseRepresentation
bin10100100000111000…
…00111101101100000
31001102112022210221210
422100130013231200
5140023341202222
65020455350120
7536626604415
oct122034075540
931375283853
1011013225312
114741751201
122174382340
1310668a828b
1476695410c
15446d02d0c
hex290707b60

11013225312 has 96 divisors (see below), whose sum is σ = 29505355488. Its totient is φ = 3595677696.

The previous prime is 11013225287. The next prime is 11013225329. The reversal of 11013225312 is 21352231011.

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

It is a super-2 number, since 2×110132253122 (a number of 21 digits) contains 22 as substring.

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, 3728028 + ... + 3730980.

It is an arithmetic number, because the mean of its divisors is an integer number (307347453).

Almost surely, 211013225312 is an apocalyptic number.

11013225312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11013225312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752677744).

11013225312 is an abundant number, since it is smaller than the sum of its proper divisors (18492130176).

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

11013225312 is a wasteful number, since it uses less digits than its factorization.

11013225312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 11013225312 its reverse (21352231011), we get a palindrome (32365456323).

The spelling of 11013225312 in words is "eleven billion, thirteen million, two hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 733 848 1272 1466 1696 2199 2544 2932 2953 4398 5088 5864 5906 8796 8859 11728 11812 17592 17718 23456 23624 35184 35436 38849 47248 70368 70872 77698 94496 116547 141744 155396 156509 233094 283488 310792 313018 466188 469527 621584 626036 932376 939054 1243168 1252072 1864752 1878108 2164549 2504144 3729504 3756216 4329098 5008288 6493647 7512432 8658196 12987294 15024864 17316392 25974588 34632784 51949176 69265568 103898352 114721097 207796704 229442194 344163291 458884388 688326582 917768776 1376653164 1835537552 2753306328 3671075104 5506612656 11013225312