Search a number
-
+
101304420 = 223572310487
BaseRepresentation
bin1100000100111…
…00100001100100
321001121210112120
412002130201210
5201413220140
614015145540
72340034110
oct602344144
9231553476
10101304420
1152202568
1229b152b0
1317cac459
14d650740
158d611d0
hex609c864

101304420 has 96 divisors (see below), whose sum is σ = 338300928. Its totient is φ = 22146432.

The previous prime is 101304419. The next prime is 101304421. The reversal of 101304420 is 24403101.

It is an interprime number because it is at equal distance from previous prime (101304419) and next prime (101304421).

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

It is a self number, because there is not a number n which added to its sum of digits gives 101304420.

It is not an unprimeable number, because it can be changed into a prime (101304421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4417 + ... + 14903.

It is an arithmetic number, because the mean of its divisors is an integer number (3523968).

Almost surely, 2101304420 is an apocalyptic number.

101304420 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 101304420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169150464).

101304420 is an abundant number, since it is smaller than the sum of its proper divisors (236996508).

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

101304420 is a wasteful number, since it uses less digits than its factorization.

101304420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10529 (or 10527 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 101304420 is about 10065.0096870296. The cubic root of 101304420 is about 466.1683649335.

Adding to 101304420 its reverse (24403101), we get a palindrome (125707521).

The spelling of 101304420 in words is "one hundred one million, three hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 10487 20974 31461 41948 52435 62922 73409 104870 125844 146818 157305 209740 220227 241201 293636 314610 367045 440454 482402 629220 723603 734090 880908 964804 1101135 1206005 1447206 1468180 1688407 2202270 2412010 2894412 3376814 3618015 4404540 4824020 5065221 6753628 7236030 8442035 10130442 14472060 16884070 20260884 25326105 33768140 50652210 101304420