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101342234000 = 245378278753
BaseRepresentation
bin101111001100001110…
…1111100010110010000
3100200120201021220011002
41132120131330112100
53130022102442000
6114320031441132
710215232530110
oct1363035742620
9320521256132
10101342234000
1139a8505a3a7
12177833861a8
139730914047
144c95417040
152981ebd8d5
hex179877c590

101342234000 has 160 divisors (see below), whose sum is σ = 280422694656. Its totient is φ = 34699929600.

The previous prime is 101342233999. The next prime is 101342234017. The reversal of 101342234000 is 432243101.

It is a super-2 number, since 2×1013422340002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11573624 + ... + 11582376.

Almost surely, 2101342234000 is an apocalyptic number.

101342234000 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 101342234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140211347328).

101342234000 is an abundant number, since it is smaller than the sum of its proper divisors (179080460656).

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

101342234000 is an equidigital number, since it uses as much as digits as its factorization.

101342234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610 (or 9594 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 101342234000 its reverse (432243101), we get a palindrome (101774477101).

The spelling of 101342234000 in words is "one hundred one billion, three hundred forty-two million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 827 875 1000 1400 1654 1750 2000 2800 3308 3500 4135 5789 6616 7000 8270 8753 11578 13232 14000 16540 17506 20675 23156 28945 33080 35012 41350 43765 46312 57890 61271 66160 70024 82700 87530 92624 103375 115780 122542 140048 144725 165400 175060 206750 218825 231560 245084 289450 306355 330800 350120 413500 437650 463120 490168 578900 612710 700240 723625 827000 875300 980336 1094125 1157800 1225420 1447250 1531775 1654000 1750600 2188250 2315600 2450840 2894500 3063550 3501200 4376500 4901680 5789000 6127100 7238731 7658875 8753000 11578000 12254200 14477462 15317750 17506000 24508400 28954924 30635500 36193655 50671117 57909848 61271000 72387310 101342234 115819696 122542000 144774620 180968275 202684468 253355585 289549240 361936550 405368936 506711170 579098480 723873100 810737872 904841375 1013422340 1266777925 1447746200 1809682750 2026844680 2533555850 2895492400 3619365500 4053689360 5067111700 6333889625 7238731000 10134223400 12667779250 14477462000 20268446800 25335558500 50671117000 101342234000