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20212010010100 = 22521726071152187
BaseRepresentation
bin1001001100001111110011…
…01011010100010111110100
32122120020201201200220210001
410212013321223110113310
510122123144030310400
6110553134052241044
74154161310253406
oct446077153242764
978506651626701
1020212010010100
1164929577a7617
122325281310184
13b37ca4860a5c
144dc3a3404b76
15250b628a6a6a
hex1261f9ad45f4

20212010010100 has 108 divisors (see below), whose sum is σ = 46668628322176. Its totient is φ = 7596684910080.

The previous prime is 20212010010079. The next prime is 20212010010133. The reversal of 20212010010100 is 101001021202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16966207 + ... + 18118393.

Almost surely, 220212010010100 is an apocalyptic number.

20212010010100 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 20212010010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23334314161088).

20212010010100 is an abundant number, since it is smaller than the sum of its proper divisors (26456618312076).

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

20212010010100 is a wasteful number, since it uses less digits than its factorization.

20212010010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152842 (or 1152818 counting only the distinct ones).

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

Adding to 20212010010100 its reverse (101001021202), we get a palindrome (20313011031302).

The spelling of 20212010010100 in words is "twenty trillion, two hundred twelve billion, ten million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 607 850 1156 1214 1445 1700 2428 2890 3035 5780 6070 7225 10319 12140 14450 15175 20638 28900 30350 41276 51595 60700 103190 175423 206380 257975 350846 515950 701692 877115 1031900 1152187 1754230 2304374 3508460 4385575 4608748 5760935 8771150 11521870 17542300 19587179 23043740 28804675 39174358 57609350 78348716 97935895 115218700 195871790 332982043 391743580 489679475 665964086 699377509 979358950 1331928172 1398755018 1664910215 1958717900 2797510036 3329820430 3496887545 6659640860 6993775090 8324551075 11889417653 13987550180 16649102150 17484437725 23778835306 33298204300 34968875450 47557670612 59447088265 69937750900 118894176530 202120100101 237788353060 297235441325 404240200202 594470882650 808480400404 1010600500505 1188941765300 2021201001010 4042402002020 5053002502525 10106005005050 20212010010100