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1020122224440 = 233511772819867
BaseRepresentation
bin11101101100001000000…
…01011101011100111000
310121112010001221100010220
432312010001131130320
5113203202242140230
62100345423340040
7133462402560264
oct16660401353470
93545101840126
101020122224440
113636a4445a50
12145858a51620
1375274098a17
1437534a670a4
151b8080c6d10
hexed8405d738

1020122224440 has 64 divisors (see below), whose sum is σ = 3338581829760. Its totient is φ = 247302357120.

The previous prime is 1020122224403. The next prime is 1020122224453. The reversal of 1020122224440 is 444222210201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1020122224440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386408614 + ... + 386411253.

It is an arithmetic number, because the mean of its divisors is an integer number (52165341090).

Almost surely, 21020122224440 is an apocalyptic number.

1020122224440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020122224440 is an abundant number, since it is smaller than the sum of its proper divisors (2318459605320).

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

1020122224440 is a wasteful number, since it uses less digits than its factorization.

1020122224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772819892 (or 772819888 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1020122224440 its reverse (444222210201), we get a palindrome (1464344434641).

The spelling of 1020122224440 in words is "one trillion, twenty billion, one hundred twenty-two million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 772819867 1545639734 2318459601 3091279468 3864099335 4636919202 6182558936 7728198670 8501018537 9273838404 11592298005 15456397340 17002037074 18547676808 23184596010 25503055611 30912794680 34004074148 42505092685 46369192020 51006111222 68008148296 85010185370 92738384040 102012222444 127515278055 170020370740 204024444888 255030556110 340040741480 510061112220 1020122224440