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11201001096 = 23331791491279
BaseRepresentation
bin10100110111010000…
…11011011010001000
31001220121122210220110
422123220123122020
5140414424013341
65051244154320
7544366636605
oct123350333210
931817583813
1011201001096
1148287449aa
1222072389a0
1310967724cc
147838736ac
15458545216
hex29ba1b688

11201001096 has 128 divisors (see below), whose sum is σ = 29491200000. Its totient is φ = 3540775680.

The previous prime is 11201001067. The next prime is 11201001137. The reversal of 11201001096 is 69010010211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8756985 + ... + 8758263.

It is an arithmetic number, because the mean of its divisors is an integer number (230400000).

Almost surely, 211201001096 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 11201001096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14745600000).

11201001096 is an abundant number, since it is smaller than the sum of its proper divisors (18290198904).

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

11201001096 is a wasteful number, since it uses less digits than its factorization.

11201001096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 11201001096 in words is "eleven billion, two hundred one million, one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 79 93 124 149 158 186 237 248 298 316 372 447 474 596 632 744 894 948 1192 1279 1788 1896 2449 2558 3576 3837 4619 4898 5116 7347 7674 9238 9796 10232 11771 13857 14694 15348 18476 19592 23542 27714 29388 30696 35313 36952 39649 47084 55428 58776 70626 79298 94168 101041 110856 118947 141252 158596 190571 202082 237894 282504 303123 317192 364901 381142 404164 475788 571713 606246 729802 762284 808328 951576 1094703 1143426 1212492 1459604 1524568 2189406 2286852 2424984 2919208 3132271 4378812 4573704 5907701 6264542 8757624 9396813 11815402 12529084 15055109 17723103 18793626 23630804 25058168 30110218 35446206 37587252 45165327 47261608 60220436 70892412 75174504 90330654 120440872 141784824 180661308 361322616 466708379 933416758 1400125137 1866833516 2800250274 3733667032 5600500548 11201001096