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12400046542100 = 22527123114390213
BaseRepresentation
bin1011010001110001110001…
…0111101000110100010100
31121220102200120020001112202
42310130130113220310110
53111130243403321400
642212300331504032
72416605466346540
oct264343427506424
947812616201482
1012400046542100
113a50915005a48
1214832665b8018
136bc41c875419
1430c246018a20
1516784895e4d5
hexb471c5e8d14

12400046542100 has 72 divisors (see below), whose sum is σ = 30777098972928. Its totient is φ = 4247990582400.

The previous prime is 12400046542099. The next prime is 12400046542111. The reversal of 12400046542100 is 124564000421.

It is a super-2 number, since 2×124000465421002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6333407 + ... + 8056806.

Almost surely, 212400046542100 is an apocalyptic number.

12400046542100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12400046542100 is an abundant number, since it is smaller than the sum of its proper divisors (18377052430828).

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

12400046542100 is a wasteful number, since it uses less digits than its factorization.

12400046542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14391465 (or 14391458 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 12400046542100 in words is "twelve trillion, four hundred billion, forty-six million, five hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1231 2462 4924 6155 8617 12310 17234 24620 30775 34468 43085 61550 86170 123100 172340 215425 430850 861700 14390213 28780426 57560852 71951065 100731491 143902130 201462982 287804260 359755325 402925964 503657455 719510650 1007314910 1439021300 2014629820 2518287275 5036574550 10073149100 17714352203 35428704406 70857408812 88571761015 124000465421 177143522030 248000930842 354287044060 442858805075 496001861684 620002327105 885717610150 1240004654210 1771435220300 2480009308420 3100011635525 6200023271050 12400046542100