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1001010220002 = 2321336833116141
BaseRepresentation
bin11101001000100001101…
…10111100101111100010
310112200210010022220210200
432210100312330233202
5112400032104020002
62043505135010030
7132214652323602
oct16442066745742
93480703286720
101001010220002
1135658719a161
12142004369916
1373519673760
1436640694c02
151b08a2b5b1c
hexe910dbcbe2

1001010220002 has 48 divisors (see below), whose sum is σ = 2335774037688. Its totient is φ = 307992130560.

The previous prime is 1001010219943. The next prime is 1001010220019. The reversal of 1001010220002 is 2000220101001.

It can be written as a sum of positive squares in 4 ways, for example, as 217641843441 + 783368376561 = 466521^2 + 885081^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8560852 + ... + 8676992.

Almost surely, 21001010220002 is an apocalyptic number.

1001010220002 is an abundant number, since it is smaller than the sum of its proper divisors (1334763817686).

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

1001010220002 is a wasteful number, since it uses less digits than its factorization.

1001010220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152995 (or 152992 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001010220002 its reverse (2000220101001), we get a palindrome (3001230321003).

The spelling of 1001010220002 in words is "one trillion, one billion, ten million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 36833 73666 110499 116141 220998 232282 331497 348423 478829 662994 696846 957658 1045269 1436487 1509833 2090538 2872974 3019666 4309461 4529499 8618922 9058998 13588497 27176994 4277821453 8555642906 12833464359 25666928718 38500393077 55611678889 77000786154 111223357778 166835036667 333670073334 500505110001 1001010220002