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1002023233020 = 2232522787244297
BaseRepresentation
bin11101001010011010011…
…11010010010111111100
310112210101201111022102100
432211031033102113330
5112404120421424040
62044153443225100
7132252032643405
oct16451517222774
93483351438370
101002023233020
11356a56aa08a7
12142247678190
137364b4b8a44
14366d902c9ac
151b0e91b7b30
hexe94d3d25fc

1002023233020 has 72 divisors (see below), whose sum is σ = 3039616301904. Its totient is φ = 267193375488.

The previous prime is 1002023233019. The next prime is 1002023233027. The reversal of 1002023233020 is 203323202001.

It is a happy number.

1002023233020 is a `hidden beast` number, since 100 + 2 + 0 + 232 + 330 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002023232984 and 1002023233002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002023233027) 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 23 ways as a sum of consecutive naturals, for example, 3979512 + ... + 4223808.

It is an arithmetic number, because the mean of its divisors is an integer number (42216893082).

Almost surely, 21002023233020 is an apocalyptic number.

1002023233020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002023233020 is an abundant number, since it is smaller than the sum of its proper divisors (2037593068884).

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

1002023233020 is a wasteful number, since it uses less digits than its factorization.

1002023233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267099 (or 267094 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1002023233020 its reverse (203323202001), we get a palindrome (1205346435021).

The spelling of 1002023233020 in words is "one trillion, two billion, twenty-three million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22787 45574 68361 91148 113935 136722 205083 227870 244297 273444 341805 410166 455740 488594 683610 732891 820332 977188 1025415 1221485 1367220 1465782 2050830 2198673 2442970 2931564 3664455 4101660 4397346 4885940 7328910 8794692 10993365 14657820 21986730 43973460 5566795739 11133591478 16700387217 22267182956 27833978695 33400774434 50101161651 55667957390 66801548868 83501936085 100202323302 111335914780 167003872170 200404646604 250505808255 334007744340 501011616510 1002023233020