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12007100745 = 335717331709
BaseRepresentation
bin10110010111010110…
…11101000101001001
31010222210110220202000
423023223131011021
5144042304210440
65303241501213
7603355446423
oct131353350511
933883426660
1012007100745
115101771562
1223b11a1809
13119477c853
1481c949813
154a41c4730
hex2cbadd149

12007100745 has 64 divisors (see below), whose sum is σ = 21688819200. Its totient is φ = 6301290240.

The previous prime is 12007100689. The next prime is 12007100747. The reversal of 12007100745 is 54700170021.

It is not a de Polignac number, because 12007100745 - 26 = 12007100681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12007100747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7024951 + ... + 7026659.

It is an arithmetic number, because the mean of its divisors is an integer number (338887800).

Almost surely, 212007100745 is an apocalyptic number.

12007100745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12007100745 is a deficient number, since it is larger than the sum of its proper divisors (9681718455).

12007100745 is a wasteful number, since it uses less digits than its factorization.

12007100745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 12007100745 its reverse (54700170021), we get a palindrome (66707270766).

The spelling of 12007100745 in words is "twelve billion, seven million, one hundred thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 45 71 135 213 355 639 733 1065 1709 1917 2199 3195 3665 5127 6597 8545 9585 10995 15381 19791 25635 32985 46143 52043 76905 98955 121339 156129 230715 260215 364017 468387 606695 780645 1092051 1252697 1405161 1820085 2341935 3276153 3758091 5460255 6263485 7025805 11274273 16380765 18790455 33822819 56371365 88941487 169114095 266824461 444707435 800473383 1334122305 2401420149 4002366915 12007100745