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21200144020 = 22511673673919
BaseRepresentation
bin10011101111101000…
…001000011010010100
32000201110210220100021
4103233220020122110
5321404214102040
613423400354524
71350234152026
oct235750103224
960643726307
1021200144020
118a99a23a90
124137a75a44
131ccb21c823
141051852016
158412d424a
hex4efa08694

21200144020 has 96 divisors (see below), whose sum is σ = 49439416320. Its totient is φ = 7571456640.

The previous prime is 21200144011. The next prime is 21200144029. The reversal of 21200144020 is 2044100212.

It is an interprime number because it is at equal distance from previous prime (21200144011) and next prime (21200144029).

It is a super-2 number, since 2×212001440202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21200143985 and 21200144003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200144029) 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, 5407621 + ... + 5411539.

It is an arithmetic number, because the mean of its divisors is an integer number (514993920).

Almost surely, 221200144020 is an apocalyptic number.

21200144020 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 21200144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24719708160).

21200144020 is an abundant number, since it is smaller than the sum of its proper divisors (28239272300).

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

21200144020 is a wasteful number, since it uses less digits than its factorization.

21200144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21200144020 its reverse (2044100212), we get a palindrome (23244244232).

The spelling of 21200144020 in words is "twenty-one billion, two hundred million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 367 670 734 737 1340 1468 1474 1835 2948 3670 3685 3919 4037 7340 7370 7838 8074 14740 15676 16148 19595 20185 24589 39190 40370 43109 49178 78380 80740 86218 98356 122945 172436 215545 245890 262573 270479 431090 491780 525146 540958 862180 1050292 1081916 1312865 1352395 1438273 2625730 2704790 2876546 2888303 5251460 5409580 5753092 5776606 7191365 11553212 14382730 14441515 15821003 28765460 28883030 31642006 57766060 63284012 79105015 96364291 158210030 192728582 316420060 385457164 481821455 963642910 1060007201 1927285820 2120014402 4240028804 5300036005 10600072010 21200144020