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20010021012100 = 22527227125928389
BaseRepresentation
bin1001000110010111100100…
…01100011100001010000100
32121211221100202202122222001
410203023302030130022010
510110321010334341400
6110320250551115044
74133450655146410
oct443136214341204
977757322678861
1020010021012100
116415225223819
1222b20ab672a84
13b21c2444a1b2
144d26c10cdd40
1524a78e9e4a6a
hex1232f231c284

20010021012100 has 72 divisors (see below), whose sum is σ = 49843464189120. Its totient is φ = 6830355765120.

The previous prime is 20010021012073. The next prime is 20010021012127. The reversal of 20010021012100 is 121012001002.

It is an interprime number because it is at equal distance from previous prime (20010021012073) and next prime (20010021012127).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62805295 + ... + 63123094.

It is an arithmetic number, because the mean of its divisors is an integer number (692270335960).

Almost surely, 220010021012100 is an apocalyptic number.

20010021012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010021012100 is an abundant number, since it is smaller than the sum of its proper divisors (29833443177020).

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

20010021012100 is a wasteful number, since it uses less digits than its factorization.

20010021012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125928637 (or 125928630 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20010021012100 its reverse (121012001002), we get a palindrome (20131033013102).

The spelling of 20010021012100 in words is "twenty trillion, ten billion, twenty-one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 227 350 454 700 908 1135 1589 2270 3178 4540 5675 6356 7945 11350 15890 22700 31780 39725 79450 158900 125928389 251856778 503713556 629641945 881498723 1259283890 1762997446 2518567780 3148209725 3525994892 4407493615 6296419450 8814987230 12592838900 17629974460 22037468075 28585744303 44074936150 57171488606 88149872300 114342977212 142928721515 200100210121 285857443030 400200420242 571714886060 714643607575 800400840484 1000501050605 1429287215150 2001002101210 2858574430300 4002004202420 5002505253025 10005010506050 20010021012100