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21132041420 = 22571735325153
BaseRepresentation
bin10011101011100100…
…010101110011001100
32000112201122221010202
4103223210111303030
5321234300311140
613412524553032
71345446250130
oct235344256314
960481587122
1021132041420
118a64539546
1241190b2778
131cba096829
1410467a53c0
1583a330915
hex4eb915ccc

21132041420 has 96 divisors (see below), whose sum is σ = 53854512768. Its totient is φ = 6799491072.

The previous prime is 21132041419. The next prime is 21132041423. The reversal of 21132041420 is 2414023112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21132041392 and 21132041401.

It is not an unprimeable number, because it can be changed into a prime (21132041423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 827564 + ... + 852716.

It is an arithmetic number, because the mean of its divisors is an integer number (560984508).

Almost surely, 221132041420 is an apocalyptic number.

21132041420 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 21132041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26927256384).

21132041420 is an abundant number, since it is smaller than the sum of its proper divisors (32722471348).

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

21132041420 is a wasteful number, since it uses less digits than its factorization.

21132041420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25539 (or 25537 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21132041420 its reverse (2414023112), we get a palindrome (23546064532).

The spelling of 21132041420 in words is "twenty-one billion, one hundred thirty-two million, forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 353 476 595 706 1190 1412 1765 2380 2471 3530 4942 6001 7060 9884 12002 12355 24004 24710 25153 30005 42007 49420 50306 60010 84014 100612 120020 125765 168028 176071 210035 251530 352142 420070 427601 503060 704284 840140 855202 880355 1710404 1760710 2138005 2993207 3521420 4276010 5986414 8552020 8879009 11972828 14966035 17758018 29932070 35516036 44395045 59864140 62153063 88790090 124306126 150943153 177580180 248612252 301886306 310765315 603772612 621530630 754715765 1056602071 1243061260 1509431530 2113204142 3018863060 4226408284 5283010355 10566020710 21132041420