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12001000020100 = 22527132945475559
BaseRepresentation
bin1010111010100011001101…
…0101111101100010000100
31120111021200022210101110221
42232220303111331202010
53033111022001120400
641305103331554124
72346020653026010
oct256506325754204
946437608711427
1012001000020100
1139076607117a3
121419a5a75b944
136908c6935c60
142d6bcc733540
1515c290b07c1a
hexaea3357d884

12001000020100 has 144 divisors (see below), whose sum is σ = 33157140307200. Its totient is φ = 3667148997120.

The previous prime is 12001000020047. The next prime is 12001000020137. The reversal of 12001000020100 is 102000010021.

12001000020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22473880 + ... + 23001679.

It is an arithmetic number, because the mean of its divisors is an integer number (230257918800).

Almost surely, 212001000020100 is an apocalyptic number.

12001000020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001000020100 is an abundant number, since it is smaller than the sum of its proper divisors (21156140287100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12001000020100 is a wasteful number, since it uses less digits than its factorization.

12001000020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45475622 (or 45475615 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12001000020100 its reverse (102000010021), we get a palindrome (12103000030121).

The spelling of 12001000020100 in words is "twelve trillion, one billion, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 29 35 50 52 58 65 70 91 100 116 130 140 145 175 182 203 260 290 325 350 364 377 406 455 580 650 700 725 754 812 910 1015 1300 1450 1508 1820 1885 2030 2275 2639 2900 3770 4060 4550 5075 5278 7540 9100 9425 10150 10556 13195 18850 20300 26390 37700 52780 65975 131950 263900 45475559 90951118 181902236 227377795 318328913 454755590 591182267 636657826 909511180 1136888975 1182364534 1273315652 1318791211 1591644565 2273777950 2364729068 2637582422 2955911335 3183289130 4138275869 4547555900 5275164844 5911822670 6366578260 6593956055 7958222825 8276551738 9231538477 11823645340 13187912110 14779556675 15916445650 16553103476 17144285743 18463076954 20691379345 26375824220 29559113350 31832891300 32969780275 34288571486 36926153908 41382758690 46157692385 59118226700 65939560550 68577142972 82765517380 85721428715 92315384770 103456896725 120010000201 131879121100 171442857430 184630769540 206913793450 230788461925 240020000402 342885714860 413827586900 428607143575 461576923850 480040000804 600050001005 857214287150 923153847700 1200100002010 1714428574300 2400200004020 3000250005025 6000500010050 12001000020100