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20114427900 = 22352719504121
BaseRepresentation
bin10010101110111010…
…011100111111111100
31220220210211210211010
4102232322130333330
5312143243143100
613123533555220
71311311546640
oct225672347774
956823753733
1020114427900
118592085436
123a94345b10
131b87300558
14d8b590c20
157cad20750
hex4aee9cffc

20114427900 has 144 divisors (see below), whose sum is σ = 70012463360. Its totient is φ = 4355596800.

The previous prime is 20114427877. The next prime is 20114427917. The reversal of 20114427900 is 972441102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212161 + ... + 291960.

Almost surely, 220114427900 is an apocalyptic number.

20114427900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20114427900 is an abundant number, since it is smaller than the sum of its proper divisors (49898035460).

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

20114427900 is a wasteful number, since it uses less digits than its factorization.

20114427900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504164 (or 504157 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 20114427900 in words is "twenty billion, one hundred fourteen million, four hundred twenty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 504121 1008242 1512363 2016484 2520605 3024726 3528847 5041210 6049452 7057694 7561815 9578299 10082420 10586541 12603025 14115388 15123630 17644235 19156598 21173082 25206050 28734897 30247260 35288470 37809075 38313196 42346164 47891495 50412100 52932705 57469794 67048093 70576940 75618150 88221175 95782990 105865410 114939588 134096186 143674485 151236300 176442350 191565980 201144279 211730820 239457475 264663525 268192372 287348970 335240465 352884700 402288558 478914950 529327050 574697940 670480930 718372425 804577116 957829900 1005721395 1058654100 1340961860 1436744850 1676202325 2011442790 2873489700 3352404650 4022885580 5028606975 6704809300 10057213950 20114427900