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109989142900 = 225271365918341
BaseRepresentation
bin110011001101111011…
…1010010000101110100
3101111220022222101020021
41212123313102011310
53300224210033100
6122310041014524
710642430201050
oct1463367220564
9344808871207
10109989142900
1142712004aaa
1219397184444
13a4ab1981a0
145475998c60
152cdb1a0a1a
hex199bdd2174

109989142900 has 144 divisors (see below), whose sum is σ = 294217418880. Its totient is φ = 34755033600.

The previous prime is 109989142889. The next prime is 109989142903. The reversal of 109989142900 is 9241989901.

It is a super-2 number, since 2×1099891429002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109989142903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5987730 + ... + 6006070.

It is an arithmetic number, because the mean of its divisors is an integer number (2043176520).

Almost surely, 2109989142900 is an apocalyptic number.

109989142900 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 109989142900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147108709440).

109989142900 is an abundant number, since it is smaller than the sum of its proper divisors (184228275980).

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

109989142900 is a wasteful number, since it uses less digits than its factorization.

109989142900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19034 (or 19027 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 52.

The spelling of 109989142900 in words is "one hundred nine billion, nine hundred eighty-nine million, one hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 659 700 910 1300 1318 1820 2275 2636 3295 4550 4613 6590 8567 9100 9226 13180 16475 17134 18341 18452 23065 32950 34268 36682 42835 46130 59969 65900 73364 85670 91705 92260 115325 119938 128387 171340 183410 214175 230650 238433 239876 256774 299845 366820 428350 458525 461300 476866 513548 599690 641935 856700 917050 953732 1192165 1199380 1283870 1499225 1669031 1834100 2384330 2567740 2998450 3209675 3338062 4768660 5960825 5996900 6419350 6676124 8345155 11921650 12086719 12838700 16690310 23843300 24173438 33380620 41725775 48346876 60433595 83451550 84607033 120867190 157127347 166903100 169214066 241734380 302167975 314254694 338428132 423035165 604335950 628509388 785636735 846070330 1099891429 1208671900 1571273470 1692140660 2115175825 2199782858 3142546940 3928183675 4230351650 4399565716 5499457145 7856367350 8460703300 10998914290 15712734700 21997828580 27497285725 54994571450 109989142900