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101342880 = 2533523459
BaseRepresentation
bin1100000101001…
…01111010100000
321001200202022000
412002211322200
5201420433010
614020044000
72340254202
oct602457240
9231622260
10101342880
1152229451
1229b33600
1317cc3b02
14d660772
158d6c7c0
hex60a5ea0

101342880 has 96 divisors (see below), whose sum is σ = 354715200. Its totient is φ = 27023616.

The previous prime is 101342863. The next prime is 101342909. The reversal of 101342880 is 88243101.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7410 + ... + 16049.

It is an arithmetic number, because the mean of its divisors is an integer number (3694950).

Almost surely, 2101342880 is an apocalyptic number.

101342880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101342880 is an abundant number, since it is smaller than the sum of its proper divisors (253372320).

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

101342880 is a wasteful number, since it uses less digits than its factorization.

101342880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23483 (or 23469 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 101342880 is about 10066.9200851104. The cubic root of 101342880 is about 466.2273507339.

Adding to 101342880 its reverse (88243101), we get a palindrome (189585981).

The spelling of 101342880 in words is "one hundred one million, three hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 23459 46918 70377 93836 117295 140754 187672 211131 234590 281508 351885 375344 422262 469180 563016 633393 703770 750688 844524 938360 1055655 1126032 1266786 1407540 1689048 1876720 2111310 2252064 2533572 2815080 3166965 3378096 3753440 4222620 5067144 5630160 6333930 6756192 8445240 10134288 11260320 12667860 16890480 20268576 25335720 33780960 50671440 101342880