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11014292601 = 36134232
BaseRepresentation
bin10100100001000000…
…01100010001111001
31001102121100001000000
422100200030101321
5140024124330401
65020534303213
7536641641144
oct122040142171
931377301000
1011014292601
114742310064
1221747b7b09
131066b90000
14766b5105b
15446e64186
hex29080c479

11014292601 has 105 divisors (see below), whose sum is σ = 18701637689. Its totient is φ = 6483329424.

The previous prime is 11014292599. The next prime is 11014292617. The reversal of 11014292601 is 10629241011.

The square root of 11014292601 is 104949.

It is a perfect power (a square), and thus also a powerful number.

11014292601 is a `hidden beast` number, since 1 + 10 + 1 + 42 + 9 + 2 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5461062201 + 5553230400 = 73899^2 + 74520^2 .

It is not a de Polignac number, because 11014292601 - 21 = 11014292599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11014292671) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 478882276 + ... + 478882298.

Almost surely, 211014292601 is an apocalyptic number.

11014292601 is the 104949-th square number.

11014292601 is the 52475-th centered octagonal number.

It is an amenable number.

11014292601 is a deficient number, since it is larger than the sum of its proper divisors (7687345088).

11014292601 is an frugal number, since it uses more digits than its factorization.

11014292601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11014292601 in words is "eleven billion, fourteen million, two hundred ninety-two thousand, six hundred one".

Divisors: 1 3 9 13 23 27 39 69 81 117 169 207 243 299 351 507 529 621 729 897 1053 1521 1587 1863 2197 2691 3159 3887 4563 4761 5589 6591 6877 8073 9477 11661 13689 14283 16767 19773 20631 24219 28561 34983 41067 42849 50531 59319 61893 72657 85683 89401 104949 123201 128547 151593 177957 185679 217971 257049 268203 314847 385641 454779 533871 557037 656903 771147 804609 944541 1162213 1364337 1601613 1671111 1970709 2313441 2413827 2833623 3486639 4093011 5013333 5912127 6940323 7241481 10459917 12279033 15108769 17736381 20820969 21724443 31379751 36837099 45326307 53209143 65173329 94139253 135978921 159627429 282417759 407936763 478882287 847253277 1223810289 3671430867 11014292601