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20000012100 = 22352176735827
BaseRepresentation
bin10010101000000101…
…111111011101000100
31220121211112212211220
4102220011333131010
5311430000341400
613104325400340
71305422204115
oct225005773504
956554485756
1020000012100
118533538122
123a61b690b0
131b696b02b3
14d7a2ca20c
157c0c6e7a0
hex4a817f744

20000012100 has 144 divisors (see below), whose sum is σ = 61372196928. Its totient is φ = 5011292160.

The previous prime is 20000012063. The next prime is 20000012141. The reversal of 20000012100 is 121000002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3429387 + ... + 3435213.

It is an arithmetic number, because the mean of its divisors is an integer number (426195812).

Almost surely, 220000012100 is an apocalyptic number.

20000012100 is a gapful number since it is divisible by the number (20) 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 20000012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30686098464).

20000012100 is an abundant number, since it is smaller than the sum of its proper divisors (41372184828).

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

20000012100 is a wasteful number, since it uses less digits than its factorization.

20000012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534 (or 6527 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20000012100 its reverse (121000002), we get a palindrome (20121012102).

The spelling of 20000012100 in words is "twenty billion, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 673 850 1020 1275 1346 1700 2019 2550 2692 3365 4038 5100 5827 6730 8076 10095 11441 11654 13460 16825 17481 20190 22882 23308 29135 33650 34323 34962 40380 45764 50475 57205 58270 67300 68646 69924 87405 99059 100950 114410 116540 137292 145675 171615 174810 198118 201900 228820 286025 291350 297177 343230 349620 396236 437025 495295 572050 582700 594354 686460 858075 874050 990590 1144100 1188708 1485885 1716150 1748100 1981180 2476475 2971770 3432300 3921571 4952950 5943540 7429425 7843142 9905900 11764713 14858850 15686284 19607855 23529426 29717700 39215710 47058852 58823565 66666707 78431420 98039275 117647130 133333414 196078550 200000121 235294260 266666828 294117825 333333535 392157100 400000242 588235650 666667070 800000484 1000000605 1176471300 1333334140 1666667675 2000001210 3333335350 4000002420 5000003025 6666670700 10000006050 20000012100