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101234320 = 245111767101
BaseRepresentation
bin1100000100010…
…11011010010000
321001111020101021
412002023122100
5201403444240
614013445224
72336322535
oct602133220
9231436337
10101234320
1152164930
1229aa0814
1317c86585
14d632d8c
158d4a54a
hex608b690

101234320 has 160 divisors (see below), whose sum is σ = 278660736. Its totient is φ = 33792000.

The previous prime is 101234297. The next prime is 101234347. The reversal of 101234320 is 23432101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101234294 and 101234303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002270 + ... + 1002370.

Almost surely, 2101234320 is an apocalyptic number.

101234320 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 101234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139330368).

101234320 is an abundant number, since it is smaller than the sum of its proper divisors (177426416).

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

101234320 is a wasteful number, since it uses less digits than its factorization.

101234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 101234320 is about 10061.5267231171. The cubic root of 101234320 is about 466.0608146975.

Adding to 101234320 its reverse (23432101), we get a palindrome (124666421).

The spelling of 101234320 in words is "one hundred one million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 67 68 80 85 88 101 110 134 136 170 176 187 202 220 268 272 335 340 374 404 440 505 536 670 680 737 748 808 880 935 1010 1072 1111 1139 1340 1360 1474 1496 1616 1717 1870 2020 2222 2278 2680 2948 2992 3434 3685 3740 4040 4444 4556 5360 5555 5695 5896 6767 6868 7370 7480 8080 8585 8888 9112 11110 11390 11792 12529 13534 13736 14740 14960 17170 17776 18224 18887 22220 22780 25058 27068 27472 29480 33835 34340 37774 44440 45560 50116 54136 58960 62645 67670 68680 74437 75548 88880 91120 94435 100232 108272 115039 125290 135340 137360 148874 151096 188870 200464 230078 250580 270680 297748 302192 372185 377740 460156 501160 541360 575195 595496 744370 755480 920312 1002320 1150390 1190992 1265429 1488740 1510960 1840624 2300780 2530858 2977480 4601560 5061716 5954960 6327145 9203120 10123432 12654290 20246864 25308580 50617160 101234320