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1023003433044 = 2232178918781733
BaseRepresentation
bin11101110001011111100…
…00011001100001010100
310121210112212102220022200
432320233300121201110
5113230102334324134
62101543345524500
7133623656464335
oct16705760314124
93553485386280
101023003433044
1136494284a68a
12146321943730
1375612c8a498
143772958a28c
151b926003499
hexee2fc19854

1023003433044 has 72 divisors (see below), whose sum is σ = 2768803226280. Its totient is φ = 317336143872.

The previous prime is 1023003433019. The next prime is 1023003433057. The reversal of 1023003433044 is 4403343003201.

1023003433044 is a `hidden beast` number, since 10 + 2 + 3 + 0 + 0 + 343 + 304 + 4 = 666.

1023003433044 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29193823044 + 993809610000 = 170862^2 + 996900^2 .

It is a super-2 number, since 2×10230034330442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023003432999 and 1023003433017.

It is a congruent number.

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, 9336399 + ... + 9445334.

It is an arithmetic number, because the mean of its divisors is an integer number (38455600365).

Almost surely, 21023003433044 is an apocalyptic number.

It is an amenable number.

1023003433044 is an abundant number, since it is smaller than the sum of its proper divisors (1745799793236).

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

1023003433044 is a wasteful number, since it uses less digits than its factorization.

1023003433044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18781849 (or 18781844 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1023003433044 its reverse (4403343003201), we get a palindrome (5426346436245).

The spelling of 1023003433044 in words is "one trillion, twenty-three billion, three million, four hundred thirty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 89 102 153 178 204 267 306 356 534 612 801 1068 1513 1602 3026 3204 4539 6052 9078 13617 18156 27234 54468 18781733 37563466 56345199 75126932 112690398 169035597 225380796 319289461 338071194 638578922 676142388 957868383 1277157844 1671574237 1915736766 2873605149 3343148474 3831473532 5014722711 5747210298 6686296948 10029445422 11494420596 15044168133 20058890844 28416762029 30088336266 56833524058 60176672532 85250286087 113667048116 170500572174 255750858261 341001144348 511501716522 1023003433044