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20401320400 = 245251003301
BaseRepresentation
bin10011000000000000…
…110111000111010000
31221122210200110100021
4103000000313013100
5313240214223100
613212223033224
71321364235136
oct230000670720
957583613307
1020401320400
11871a016a7a
123b5443b814
131c0188c226
14db7711756
157e60e0a1a
hex4c00371d0

20401320400 has 30 divisors (see below), whose sum is σ = 49014173222. Its totient is φ = 8160528000.

The previous prime is 20401320397. The next prime is 20401320419. The reversal of 20401320400 is 402310402.

It can be written as a sum of positive squares in 3 ways, for example, as 2623898176 + 17777422224 = 51224^2 + 133332^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25501251 + ... + 25502050.

Almost surely, 220401320400 is an apocalyptic number.

20401320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20401320400 is an abundant number, since it is smaller than the sum of its proper divisors (28612852822).

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

20401320400 is a wasteful number, since it uses less digits than its factorization.

20401320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51003319 (or 51003308 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20401320400 its reverse (402310402), we get a palindrome (20803630802).

The spelling of 20401320400 in words is "twenty billion, four hundred one million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 51003301 102006602 204013204 255016505 408026408 510033010 816052816 1020066020 1275082525 2040132040 2550165050 4080264080 5100330100 10200660200 20401320400