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100969511049 = 3211296292
BaseRepresentation
bin101111000001001000…
…0000111100010001001
3100122121201221121101100
41132002100013202021
53123241143323144
6114215035012013
710203055453221
oct1360220074211
9318551847340
10100969511049
1139903725100
121769a59a009
1396a1633214
144c5bb13081
15295e3e7269
hex1782407889

100969511049 has 27 divisors (see below), whose sum is σ = 160325451559. Its totient is φ = 61187287920.

The previous prime is 100969511021. The next prime is 100969511081. The reversal of 100969511049 is 940115969001.

The square root of 100969511049 is 317757.

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

100969511049 is a `hidden beast` number, since 1 + 0 + 0 + 96 + 9 + 511 + 0 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99923635449 + 1045875600 = 316107^2 + 32340^2 .

It is not a de Polignac number, because 100969511049 - 219 = 100968986761 is a prime.

It is a super-2 number, since 2×1009695110492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100969510995 and 100969511013.

It is not an unprimeable number, because it can be changed into a prime (100969511249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10481167 + ... + 10490795.

Almost surely, 2100969511049 is an apocalyptic number.

100969511049 is the 317757-th square number.

100969511049 is the 158879-th centered octagonal number.

It is an amenable number.

100969511049 is a deficient number, since it is larger than the sum of its proper divisors (59355940510).

100969511049 is an frugal number, since it uses more digits than its factorization.

100969511049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19286 (or 9643 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 100969511049 in words is "one hundred billion, nine hundred sixty-nine million, five hundred eleven thousand, forty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 9629 28887 86661 105919 317757 953271 1165109 3495327 10485981 92717641 278152923 834458769 1019894051 3059682153 9179046459 11218834561 33656503683 100969511049