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1020223011440 = 245171634602233
BaseRepresentation
bin11101101100010100000…
…01111011101001110000
310121112101002120211220202
432312022001323221300
5113203404042331230
62100403423454332
7133465035341033
oct16661201735160
93545332524822
101020223011440
11363746324796
121458867573a8
137528bc267b9
14375441c101a
151b811d84a45
hexed8a07ba70

1020223011440 has 80 divisors (see below), whose sum is σ = 2526957826848. Its totient is φ = 381727531008.

The previous prime is 1020223011427. The next prime is 1020223011463. The reversal of 1020223011440 is 441103220201.

1020223011440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2079437 + ... + 2522796.

Almost surely, 21020223011440 is an apocalyptic number.

1020223011440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020223011440 is an abundant number, since it is smaller than the sum of its proper divisors (1506734815408).

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

1020223011440 is a wasteful number, since it uses less digits than its factorization.

1020223011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602426 (or 4602420 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1020223011440 its reverse (441103220201), we get a palindrome (1461326231641).

The spelling of 1020223011440 in words is "one trillion, twenty billion, two hundred twenty-three million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 163 170 272 326 340 652 680 815 1304 1360 1630 2608 2771 3260 5542 6520 11084 13040 13855 22168 27710 44336 55420 110840 221680 4602233 9204466 18408932 23011165 36817864 46022330 73635728 78237961 92044660 156475922 184089320 312951844 368178640 391189805 625903688 750163979 782379610 1251807376 1500327958 1564759220 3000655916 3129518440 3750819895 6001311832 6259036880 7501639790 12002623664 12752787643 15003279580 25505575286 30006559160 51011150572 60013118320 63763938215 102022301144 127527876430 204044602288 255055752860 510111505720 1020223011440