Search a number
-
+
220021101000100 = 22524372173708959
BaseRepresentation
bin110010000001101110100111…
…100100010111010110100100
31001212000210220211100102200101
4302001232213210113112210
5212314311203324000400
62055540144243153444
764225666664023231
oct6201564744272644
91055023824312611
10220021101000100
1164118474638044
1220815691675884
13959cb9308b49a
143c49114486788
151a683c167356a
hexc81ba79175a4

220021101000100 has 72 divisors (see below), whose sum is σ = 488556637873920. Its totient is φ = 85960420183680.

The previous prime is 220021101000097. The next prime is 220021101000167. The reversal of 220021101000100 is 1000101120022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309989421 + ... + 310698379.

It is an arithmetic number, because the mean of its divisors is an integer number (6785508859360).

Almost surely, 2220021101000100 is an apocalyptic number.

220021101000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220021101000100 is an abundant number, since it is smaller than the sum of its proper divisors (268535536873820).

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

220021101000100 is a wasteful number, since it uses less digits than its factorization.

220021101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781189 (or 781182 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 220021101000100 its reverse (1000101120022), we get a palindrome (221021202120122).

The spelling of 220021101000100 in words is "two hundred twenty trillion, twenty-one billion, one hundred one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 72173 144346 288692 360865 708959 721730 1417918 1443460 1804325 2835836 3103439 3544795 3608650 6206878 7089590 7217300 12413756 14179180 15517195 17723975 30485237 31034390 35447950 60970474 62068780 70895900 77585975 121940948 152426185 155171950 304852370 310343900 609704740 762130925 1524261850 3048523700 51167697907 102335395814 204670791628 255838489535 511676979070 1023353958140 1279192447675 2200211010001 2558384895350 4400422020002 5116769790700 8800844040004 11001055050005 22002110100010 44004220200020 55005275250025 110010550500050 220021101000100