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1022013322000 = 24531146455151
BaseRepresentation
bin11101101111101001011…
…11011011001100010000
310121200222212101001022021
432313310233123030100
5113221040402301000
62101301220221224
7133560304621246
oct16676457331420
93550885331267
101022013322000
113644849705a0
121460a623a814
13754b5b03468
1437673c94796
151b8b912711a
hexedf4bdb310

1022013322000 has 80 divisors (see below), whose sum is σ = 2695885380864. Its totient is φ = 371641200000.

The previous prime is 1022013321991. The next prime is 1022013322027. The reversal of 1022013322000 is 2233102201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10220133220002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23205576 + ... + 23249575.

Almost surely, 21022013322000 is an apocalyptic number.

1022013322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022013322000 is an abundant number, since it is smaller than the sum of its proper divisors (1673872058864).

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

1022013322000 is a wasteful number, since it uses less digits than its factorization.

1022013322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46455185 (or 46455169 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1022013322000 its reverse (2233102201), we get a palindrome (1024246424201).

The spelling of 1022013322000 in words is "one trillion, twenty-two billion, thirteen million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 46455151 92910302 185820604 232275755 371641208 464551510 511006661 743282416 929103020 1022013322 1161378775 1858206040 2044026644 2322757550 2555033305 3716412080 4088053288 4645515100 5110066610 5806893875 8176106576 9291030200 10220133220 11613787750 12775166525 18582060400 20440266440 23227575500 25550333050 40880532880 46455151000 51100666100 63875832625 92910302000 102201332200 127751665250 204402664400 255503330500 511006661000 1022013322000