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1020221121220 = 225710172151423
BaseRepresentation
bin11101101100010011110…
…10101110001011000100
310121112100222000211000121
432312021322232023010
5113203403101334340
62100403315151324
7133465013306140
oct16661172561304
93545328024017
101020221121220
11363745253624
12145885ba5544
137528b714322
1437543c4c220
151b811b0e94a
hexed89eae2c4

1020221121220 has 48 divisors (see below), whose sum is σ = 2472773603328. Its totient is φ = 346326825600.

The previous prime is 1020221121211. The next prime is 1020221121277. The reversal of 1020221121220 is 221211220201.

It is a happy number.

It is a super-2 number, since 2×10202211212202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020221121194 and 1020221121203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36061572 + ... + 36089851.

It is an arithmetic number, because the mean of its divisors is an integer number (51516116736).

Almost surely, 21020221121220 is an apocalyptic number.

1020221121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020221121220 is an abundant number, since it is smaller than the sum of its proper divisors (1452552482108).

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

1020221121220 is a wasteful number, since it uses less digits than its factorization.

1020221121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72151540 (or 72151538 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1020221121220 its reverse (221211220201), we get a palindrome (1241432341421).

The spelling of 1020221121220 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 72151423 144302846 288605692 360757115 505059961 721514230 1010119922 1443028460 2020239844 2525299805 5050599610 7287293723 10101199220 14574587446 29149174892 36436468615 51011056061 72872937230 102022112122 145745874460 204044224244 255055280305 510110560610 1020221121220