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1001221331010 = 235157239889429
BaseRepresentation
bin11101001000111010111…
…00010001100001000010
310112201022211120110122220
432210131130101201002
5112401000130043020
62043542115511510
7132223124615565
oct16443534214102
93481284513586
101001221331010
11356685380a6a
12142062bb8596
137355131b204
143666072a4dc
151b09dab7240
hexe91d711842

1001221331010 has 64 divisors (see below), whose sum is σ = 2428357363200. Its totient is φ = 264181462272.

The previous prime is 1001221330997. The next prime is 1001221331093. The reversal of 1001221331010 is 101331221001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680976 + ... + 1570404.

It is an arithmetic number, because the mean of its divisors is an integer number (37943083800).

Almost surely, 21001221331010 is an apocalyptic number.

1001221331010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001221331010 is an abundant number, since it is smaller than the sum of its proper divisors (1427136032190).

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

1001221331010 is a wasteful number, since it uses less digits than its factorization.

1001221331010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889835.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1001221331010 its reverse (101331221001), we get a palindrome (1102552552011).

The spelling of 1001221331010 in words is "one trillion, one billion, two hundred twenty-one million, three hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 157 239 314 471 478 717 785 942 1195 1434 1570 2355 2390 3585 4710 7170 37523 75046 112569 187615 225138 375230 562845 889429 1125690 1778858 2668287 4447145 5336574 8894290 13341435 26682870 139640353 212573531 279280706 418921059 425147062 637720593 698201765 837842118 1062867655 1275441186 1396403530 2094605295 2125735310 3188602965 4189210590 6377205930 33374044367 66748088734 100122133101 166870221835 200244266202 333740443670 500610665505 1001221331010