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1022020012000 = 25531319654231
BaseRepresentation
bin11101101111101010010…
…00111100011111100000
310121201000022221221021001
432313311020330133200
5113221044110341000
62101302015441344
7133560415523521
oct16676510743740
93551008857231
101022020012000
1136448871a919
121460a8526254
13754b7306540
1437674b16848
151b8b99e946a
hexedf523c7e0

1022020012000 has 96 divisors (see below), whose sum is σ = 2704265089344. Its totient is φ = 377361216000.

The previous prime is 1022020011967. The next prime is 1022020012007. The reversal of 1022020012000 is 2100202201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022020012007) by changing a digit.

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, 9775116 + ... + 9879115.

It is an arithmetic number, because the mean of its divisors is an integer number (28169428014).

Almost surely, 21022020012000 is an apocalyptic number.

1022020012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022020012000 is an abundant number, since it is smaller than the sum of its proper divisors (1682245077344).

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

1022020012000 is a wasteful number, since it uses less digits than its factorization.

1022020012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19654269 (or 19654251 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1022020012000 its reverse (2100202201), we get a palindrome (1024120214201).

The spelling of 1022020012000 in words is "one trillion, twenty-two billion, twenty million, twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 19654231 39308462 78616924 98271155 157233848 196542310 255505003 314467696 393084620 491355775 511010006 628935392 786169240 982711550 1022020012 1277525015 1572338480 1965423100 2044040024 2456778875 2555050030 3144676960 3930846200 4088080048 4913557750 5110100060 6387625075 7861692400 8176160096 9827115500 10220200120 12775250150 15723384800 19654231000 20440400240 25550500300 31938125375 39308462000 40880800480 51101000600 63876250750 78616924000 102202001200 127752501500 204404002400 255505003000 511010006000 1022020012000