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11220898757121 = 3229213922772
BaseRepresentation
bin1010001101001001000110…
…1011110011101000000001
31110201201002201122020001100
42203102101223303220001
52432320400040211441
635510450522325013
72235453221505354
oct243222153635001
943651081566040
1011220898757121
113636835902709
121312828359769
1363518439a8b1
142ab14705429b
15146d3472ccb6
hexa3491af3a01

11220898757121 has 81 divisors (see below), whose sum is σ = 16969024029321. Its totient is φ = 7144799030208.

The previous prime is 11220898757053. The next prime is 11220898757129. The reversal of 11220898757121 is 12175789802211.

The square root of 11220898757121 is 3349761.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1198203890625 + 10022694866496 = 1094625^2 + 3165864^2 .

It is not a de Polignac number, because 11220898757121 - 213 = 11220898748929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11220898757129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40508659635 + ... + 40508659911.

Almost surely, 211220898757121 is an apocalyptic number.

11220898757121 is the 3349761-st square number.

11220898757121 is the 1674881-st centered octagonal number.

It is an amenable number.

11220898757121 is a deficient number, since it is larger than the sum of its proper divisors (5748125272200).

11220898757121 is an frugal number, since it uses more digits than its factorization.

11220898757121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 54.

The spelling of 11220898757121 in words is "eleven trillion, two hundred twenty billion, eight hundred ninety-eight million, seven hundred fifty-seven thousand, one hundred twenty-one".

Divisors: 1 3 9 29 87 139 261 277 417 831 841 1251 2493 2523 4031 7569 8033 12093 19321 24099 36279 38503 57963 72297 76729 115509 116899 173889 230187 232957 346527 350697 560309 690561 698871 1052091 1116587 1680927 2096613 2225141 3349761 5042781 5351917 6675423 10049283 10665331 16055751 16248961 20026269 31995993 32381023 48167253 48746883 64529089 95987979 97143069 146240649 155205593 193587267 291429207 309294599 465616779 580761801 927883797 1396850337 1482481009 2783651391 4447443027 4500962197 8969543371 13342329081 13502886591 26908630113 40508659773 42991949261 80725890339 128975847783 386927543349 1246766528569 3740299585707 11220898757121