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1145205355041 = 32112913121114431
BaseRepresentation
bin10000101010100011100…
…011101111001000100001
311001110222022220201221200
4100222203203233020201
5122230340032330131
62234033341111413
7145511153622366
oct20524343571041
94043868821850
101145205355041
11401751627350
12165b46b58569
1383cb93c9c77
143d5dd11046d
151ebc94552e6
hex10aa38ef221

1145205355041 has 96 divisors (see below), whose sum is σ = 1890088611840. Its totient is φ = 661817520000.

The previous prime is 1145205355039. The next prime is 1145205355061. The reversal of 1145205355041 is 1405535025411.

1145205355041 is a `hidden beast` number, since 1 + 1 + 4 + 52 + 0 + 53 + 550 + 4 + 1 = 666.

It is not a de Polignac number, because 1145205355041 - 21 = 1145205355039 is a prime.

It is a super-2 number, since 2×11452053550412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145205354987 and 1145205355005.

It is not an unprimeable number, because it can be changed into a prime (1145205355061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79350096 + ... + 79364526.

It is an arithmetic number, because the mean of its divisors is an integer number (19688423040).

Almost surely, 21145205355041 is an apocalyptic number.

1145205355041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1145205355041 is a deficient number, since it is larger than the sum of its proper divisors (744883256799).

1145205355041 is a wasteful number, since it uses less digits than its factorization.

1145205355041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14819 (or 14816 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 1145205355041 in words is "one trillion, one hundred forty-five billion, two hundred five million, three hundred fifty-five thousand, forty-one".

Divisors: 1 3 9 11 29 33 87 99 131 211 261 319 393 633 957 1179 1441 1899 2321 2871 3799 4323 6119 6963 11397 12969 14431 18357 20889 27641 34191 41789 43293 55071 67309 82923 125367 129879 158741 201927 248769 304051 376101 418499 476223 605781 801589 912153 1255497 1428669 1890461 2404767 2736459 3044941 3766491 4603489 5671383 7214301 8817479 9134823 13810467 17014149 20795071 26452437 27404469 33494351 41431401 54823369 62385213 79357311 88303289 100483053 164470107 187155639 264909867 301449159 398887271 493410321 603057059 794729601 971336179 1196661813 1809171177 2914008537 3589985439 4387759981 5427513531 8742025611 11567730859 13163279943 34703192577 39489839829 104109577731 127245039449 381735118347 1145205355041