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13141114031001 = 31119129716159379
BaseRepresentation
bin1011111100111010011101…
…1011110000101110011001
31201112021111211110001021010
42333032213123300232121
53210301000142443001
643540540000004133
72524262025152445
oct277164733605631
951467454401233
1013141114031001
11420712a311910
121582a04600649
137442812a1648
143360675a5825
1517bc6d0b18d6
hexbf3a76f0b99

13141114031001 has 32 divisors (see below), whose sum is σ = 20135880230400. Its totient is φ = 7539319399680.

The previous prime is 13141114030999. The next prime is 13141114031041. The reversal of 13141114031001 is 10013041114131.

It is not a de Polignac number, because 13141114031001 - 21 = 13141114030999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13141114031041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7266471 + ... + 8892908.

It is an arithmetic number, because the mean of its divisors is an integer number (629246257200).

Almost surely, 213141114031001 is an apocalyptic number.

13141114031001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13141114031001 is a deficient number, since it is larger than the sum of its proper divisors (6994766199399).

13141114031001 is a wasteful number, since it uses less digits than its factorization.

13141114031001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16160709.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 13141114031001 its reverse (10013041114131), we get a palindrome (23154155145132).

The spelling of 13141114031001 in words is "thirteen trillion, one hundred forty-one billion, one hundred fourteen million, thirty-one thousand, one".

Divisors: 1 3 11 19 33 57 209 627 1297 3891 14267 24643 42801 73929 271073 813219 16159379 48478137 177753169 307028201 533259507 921084603 3377310211 10131930633 20958714563 62876143689 230545860193 398215576697 691637580579 1194646730091 4380371343667 13141114031001