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20001211100 = 22521325161297
BaseRepresentation
bin10010101000001010…
…100100001011011100
31220121220210210120022
4102220022210023130
5311430302223400
613104411211312
71305435326543
oct225012441334
956556723508
1020001211100
118534186a32
123a62446b38
131b69a0cc70
14d7a51d15a
157c0e09b85
hex4a82a42dc

20001211100 has 72 divisors (see below), whose sum is σ = 46928277648. Its totient is φ = 7355520000.

The previous prime is 20001211091. The next prime is 20001211103. The reversal of 20001211100 is 111210002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001211103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295652 + ... + 356948.

It is an arithmetic number, because the mean of its divisors is an integer number (651781634).

Almost surely, 220001211100 is an apocalyptic number.

20001211100 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 20001211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23464138824).

20001211100 is an abundant number, since it is smaller than the sum of its proper divisors (26927066548).

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

20001211100 is a wasteful number, since it uses less digits than its factorization.

20001211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61575 (or 61568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20001211100 its reverse (111210002), we get a palindrome (20112421102).

It can be divided in two parts, 200012 and 11100, that added together give a palindrome (211112).

The spelling of 20001211100 in words is "twenty billion, one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 251 260 325 502 650 1004 1255 1300 2510 3263 5020 6275 6526 12550 13052 16315 25100 32630 61297 65260 81575 122594 163150 245188 306485 326300 612970 796861 1225940 1532425 1593722 3064850 3187444 3984305 6129700 7968610 15385547 15937220 19921525 30771094 39843050 61542188 76927735 79686100 153855470 200012111 307710940 384638675 400024222 769277350 800048444 1000060555 1538554700 2000121110 4000242220 5000302775 10000605550 20001211100