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1002123232020 = 223351855783763
BaseRepresentation
bin11101001010100110011…
…00110000001100010100
310112210122200122210021000
432211103030300030110
5112404322021411040
62044211414423300
7132254355632601
oct16452314601424
93483580583230
101002123232020
11356aa84915a9
12142275061b30
137366612bc51
143670841d6a8
151b102d6c130
hexe953330314

1002123232020 has 48 divisors (see below), whose sum is σ = 3117716723520. Its totient is φ = 267232861728.

The previous prime is 1002123232013. The next prime is 1002123232039. The reversal of 1002123232020 is 202323212001.

1002123232020 is a `hidden beast` number, since 100 + 212 + 32 + 320 + 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 = 1002123231984 and 1002123232002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927891342 + ... + 927892421.

It is an arithmetic number, because the mean of its divisors is an integer number (64952431740).

Almost surely, 21002123232020 is an apocalyptic number.

1002123232020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002123232020 is an abundant number, since it is smaller than the sum of its proper divisors (2115593491500).

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

1002123232020 is a wasteful number, since it uses less digits than its factorization.

1002123232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855783781 (or 1855783773 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1002123232020 its reverse (202323212001), we get a palindrome (1204446444021).

It can be divided in two parts, 10021 and 23232020, that added together give a square (23242041 = 48212).

The spelling of 1002123232020 in words is "one trillion, two billion, one hundred twenty-three million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1855783763 3711567526 5567351289 7423135052 9278918815 11134702578 16702053867 18557837630 22269405156 27836756445 33404107734 37115675260 50106161601 55673512890 66808215468 83510269335 100212323202 111347025780 167020538670 200424646404 250530808005 334041077340 501061616010 1002123232020