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12010100100 = 2235237229243
BaseRepresentation
bin10110010111101101…
…11001010110000100
31011000000010022002020
423023312321112010
5144044041200400
65303430043140
7603423111045
oct131366712604
934000108066
1012010100100
11510342aa69
1223b21a94b0
13119528cb0b
1481d0ca8cc
154a45b82a0
hex2cbdb9584

12010100100 has 108 divisors (see below), whose sum is σ = 35714995344. Its totient is φ = 3116027520.

The previous prime is 12010100093. The next prime is 12010100149. The reversal of 12010100100 is 100101021.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396079 + ... + 425321.

Almost surely, 212010100100 is an apocalyptic number.

12010100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17857497672).

12010100100 is an abundant number, since it is smaller than the sum of its proper divisors (23704895244).

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

12010100100 is a wasteful number, since it uses less digits than its factorization.

12010100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29334 (or 29290 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 12010100100 its reverse (100101021), we get a palindrome (12110201121).

The spelling of 12010100100 in words is "twelve billion, ten million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1369 1850 2220 2738 2775 3700 4107 5476 5550 6845 8214 11100 13690 16428 20535 27380 29243 34225 41070 58486 68450 82140 87729 102675 116972 136900 146215 175458 205350 292430 350916 410700 438645 584860 731075 877290 1081991 1462150 1754580 2163982 2193225 2924300 3245973 4327964 4386450 5409955 6491946 8772900 10819910 12983892 16229865 21639820 27049775 32459730 40033667 54099550 64919460 80067334 81149325 108199100 120101001 160134668 162298650 200168335 240202002 324597300 400336670 480404004 600505005 800673340 1000841675 1201010010 2001683350 2402020020 3002525025 4003366700 6005050050 12010100100