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109020280350 = 23521677196053
BaseRepresentation
bin110010110001000011…
…1010111011000011110
3101102101210220001200010
41211202013113120132
53241233142432400
6122025550544050
710606424043642
oct1454207273036
9342353801603
10109020280350
1142265119253
1219166808026
13a385540937
1453c3034c22
152c810c0450
hex19621d761e

109020280350 has 96 divisors (see below), whose sum is σ = 272412564480. Its totient is φ = 28853031040.

The previous prime is 109020280283. The next prime is 109020280357. The reversal of 109020280350 is 53082020901.

It is a happy number.

It is a super-2 number, since 2×1090202803502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109020280357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18007924 + ... + 18013976.

It is an arithmetic number, because the mean of its divisors is an integer number (2837630880).

Almost surely, 2109020280350 is an apocalyptic number.

109020280350 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 109020280350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136206282240).

109020280350 is an abundant number, since it is smaller than the sum of its proper divisors (163392284130).

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

109020280350 is a wasteful number, since it uses less digits than its factorization.

109020280350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6954 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 109020280350 in words is "one hundred nine billion, twenty million, two hundred eighty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 167 334 501 719 835 1002 1438 1670 2157 2505 3595 4175 4314 5010 6053 7190 8350 10785 12106 12525 17975 18159 21570 25050 30265 35950 36318 53925 60530 90795 107850 120073 151325 181590 240146 302650 360219 453975 600365 720438 907950 1010851 1200730 1801095 2021702 3001825 3032553 3602190 4352107 5054255 6003650 6065106 8704214 9005475 10108510 13056321 15162765 18010950 21760535 25271275 26112642 30325530 43521070 50542550 65281605 75813825 108802675 130563210 151627650 217605350 326408025 652816050 726801869 1453603738 2180405607 3634009345 4360811214 7268018690 10902028035 18170046725 21804056070 36340093450 54510140175 109020280350