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1230114213153 = 327261283316141
BaseRepresentation
bin10001111001101000100…
…001010100110100100001
311100121010202220122100100
4101321220201110310201
5130123233214310103
62341035012413013
7154605243201600
oct21715041246441
94317122818310
101230114213153
1143476344a161
1217a4a2917169
138bccb52ba47
1443775bc3a37
1521ee88755a3
hex11e68854d21

1230114213153 has 72 divisors (see below), whose sum is σ = 2101682395176. Its totient is φ = 691112217600.

The previous prime is 1230114213127. The next prime is 1230114213179. The reversal of 1230114213153 is 3513124110321.

1230114213153 is a `hidden beast` number, since 1 + 2 + 301 + 1 + 42 + 1 + 315 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (1230114213127) and next prime (1230114213179).

It can be written as a sum of positive squares in 4 ways, for example, as 117874449 + 1229996338704 = 10857^2 + 1109052^2 .

It is not a de Polignac number, because 1230114213153 - 28 = 1230114212897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1230114213253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76202463 + ... + 76218603.

Almost surely, 21230114213153 is an apocalyptic number.

It is an amenable number.

1230114213153 is a deficient number, since it is larger than the sum of its proper divisors (871568182023).

1230114213153 is a wasteful number, since it uses less digits than its factorization.

1230114213153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19055 (or 19045 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1230114213153 its reverse (3513124110321), we get a palindrome (4743238323474).

The spelling of 1230114213153 in words is "one trillion, two hundred thirty billion, one hundred fourteen million, two hundred thirteen thousand, one hundred fifty-three".

Divisors: 1 3 7 9 21 49 61 63 147 183 427 441 549 1281 2833 2989 3843 8499 8967 16141 19831 25497 26901 48423 59493 112987 138817 145269 172813 178479 338961 416451 518439 790909 984601 1016883 1209691 1249353 1555317 2372727 2953803 3629073 6892207 7118181 8467837 8861409 10887219 20676621 25403511 45727453 48245449 62029863 76210533 137182359 144736347 320092171 411547077 434209041 960276513 2240645197 2789374633 2880829539 6721935591 8368123899 19525622431 20165806773 25104371697 58576867293 136679357017 175730601879 410038071051 1230114213153