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20881402100 = 22521316062617
BaseRepresentation
bin10011011100101000…
…001110100011110100
31222220021001010121222
4103130220032203310
5320231114331400
613332012525512
71336313663216
oct233450164364
958807033558
1020881402100
118946009509
124069180898
131c7a18c140
1410213a05b6
15823322185
hex4dca0e8f4

20881402100 has 36 divisors (see below), whose sum is σ = 48798233484. Its totient is φ = 7710055680.

The previous prime is 20881402093. The next prime is 20881402151. The reversal of 20881402100 is 120418802.

It can be written as a sum of positive squares in 6 ways, for example, as 4140665104 + 16740736996 = 64348^2 + 129386^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20881402100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8030009 + ... + 8032608.

Almost surely, 220881402100 is an apocalyptic number.

20881402100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20881402100 is an abundant number, since it is smaller than the sum of its proper divisors (27916831384).

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

20881402100 is a wasteful number, since it uses less digits than its factorization.

20881402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16062644 (or 16062637 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 20881402100 in words is "twenty billion, eight hundred eighty-one million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 16062617 32125234 64250468 80313085 160626170 208814021 321252340 401565425 417628042 803130850 835256084 1044070105 1606261700 2088140210 4176280420 5220350525 10440701050 20881402100