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101102320 = 24511114889
BaseRepresentation
bin1100000011010…
…11001011110000
321001020112022101
412001223023300
5201340233240
614010550144
72335232644
oct601531360
9231215271
10101102320
1152084740
1229a38354
1317c3b477
14d5dac24
158d2139a
hex606b2f0

101102320 has 40 divisors (see below), whose sum is σ = 256434480. Its totient is φ = 36764160.

The previous prime is 101102317. The next prime is 101102347. The reversal of 101102320 is 23201101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101102297 and 101102306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56565 + ... + 58324.

It is an arithmetic number, because the mean of its divisors is an integer number (6410862).

Almost surely, 2101102320 is an apocalyptic number.

101102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102320 is an abundant number, since it is smaller than the sum of its proper divisors (155332160).

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

101102320 is a wasteful number, since it uses less digits than its factorization.

101102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114913 (or 114907 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101102320 is about 10054.9649427534. The cubic root of 101102320 is about 465.8581601508.

Adding to 101102320 its reverse (23201101), we get a palindrome (124303421).

The spelling of 101102320 in words is "one hundred one million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 114889 229778 459556 574445 919112 1148890 1263779 1838224 2297780 2527558 4595560 5055116 6318895 9191120 10110232 12637790 20220464 25275580 50551160 101102320