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1002220987236 = 2237231087477229
BaseRepresentation
bin11101001010110010000…
…01101010001101100100
310112210220111121021012120
432211121001222031210
5112410022033042421
62044225225545540
7132256653555330
oct16453101521544
93483814537176
101002220987236
1135704868a537
121422a19452b0
1373680467a81
14367173c87c0
151b10b72b8c6
hexe95906a364

1002220987236 has 96 divisors (see below), whose sum is σ = 2791360266240. Its totient is φ = 273646353024.

The previous prime is 1002220987211. The next prime is 1002220987237. The reversal of 1002220987236 is 6327890222001.

It is a super-3 number, since 3×10022209872363 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1002220987237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1861470 + ... + 2338698.

It is an arithmetic number, because the mean of its divisors is an integer number (29076669440).

Almost surely, 21002220987236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002220987236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395680133120).

1002220987236 is an abundant number, since it is smaller than the sum of its proper divisors (1789139279004).

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

1002220987236 is a wasteful number, since it uses less digits than its factorization.

1002220987236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478353 (or 478351 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1002220987236 in words is "one trillion, two billion, two hundred twenty million, nine hundred eighty-seven thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1087 1932 2174 3261 4348 6522 7609 13044 15218 22827 25001 30436 45654 50002 75003 91308 100004 150006 175007 300012 350014 477229 525021 700028 954458 1050042 1431687 1908916 2100084 2863374 3340603 5726748 6681206 10021809 10976267 13362412 20043618 21952534 32928801 40087236 43905068 65857602 76833869 131715204 153667738 230501607 307335476 461003214 518747923 922006428 1037495846 1556243769 2074991692 3112487538 3631235461 6224975076 7262470922 10893706383 11931202229 14524941844 21787412766 23862404458 35793606687 43574825532 47724808916 71587213374 83518415603 143174426748 167036831206 250555246809 334073662412 501110493618 1002220987236