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101320350 = 23521973487
BaseRepresentation
bin1100000101000…
…00011010011110
321001122121101120
412002200122132
5201414222400
614015351410
72340131415
oct602403236
9231577346
10101320350
115221352a
1229b22566
1317cb6791
14d65647c
158d65ca0
hex60a069e

101320350 has 96 divisors (see below), whose sum is σ = 268673280. Its totient is φ = 25194240.

The previous prime is 101320327. The next prime is 101320381. The reversal of 101320350 is 53023101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 207807 + ... + 208293.

It is an arithmetic number, because the mean of its divisors is an integer number (2798680).

Almost surely, 2101320350 is an apocalyptic number.

101320350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101320350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134336640).

101320350 is an abundant number, since it is smaller than the sum of its proper divisors (167352930).

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

101320350 is a wasteful number, since it uses less digits than its factorization.

101320350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 101320350 is about 10065.8010113453. The cubic root of 101320350 is about 466.1927984604.

Adding to 101320350 its reverse (53023101), we get a palindrome (154343451).

The spelling of 101320350 in words is "one hundred one million, three hundred twenty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 73 75 95 114 146 150 190 219 285 365 438 475 487 570 730 950 974 1095 1387 1425 1461 1825 2190 2435 2774 2850 2922 3650 4161 4870 5475 6935 7305 8322 9253 10950 12175 13870 14610 18506 20805 24350 27759 34675 35551 36525 41610 46265 55518 69350 71102 73050 92530 104025 106653 138795 177755 208050 213306 231325 277590 355510 462650 533265 675469 693975 888775 1066530 1350938 1387950 1777550 2026407 2666325 3377345 4052814 5332650 6754690 10132035 16886725 20264070 33773450 50660175 101320350