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100030021020 = 22325983565333
BaseRepresentation
bin101110100101001000…
…0001111110110011100
3100120012021010120100100
41131022100033312130
53114330141133040
6113541514301100
710140560102226
oct1351220176634
9316167116310
10100030021020
1139471380366
1217477a27790
139581ac1167
144bad037416
152906bb9b30
hex174a40fd9c

100030021020 has 72 divisors (see below), whose sum is σ = 303733606176. Its totient is φ = 26647489152.

The previous prime is 100030020989. The next prime is 100030021033. The reversal of 100030021020 is 20120030001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100030020993 and 100030021011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105727 + ... + 459606.

It is an arithmetic number, because the mean of its divisors is an integer number (4218522308).

Almost surely, 2100030021020 is an apocalyptic number.

100030021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100030021020 is an abundant number, since it is smaller than the sum of its proper divisors (203703585156).

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

100030021020 is a wasteful number, since it uses less digits than its factorization.

100030021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566331 (or 566326 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100030021020 its reverse (20120030001), we get a palindrome (120150051021).

The spelling of 100030021020 in words is "one hundred billion, thirty million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 983 1966 2949 3932 4915 5898 8847 9830 11796 14745 17694 19660 29490 35388 44235 58980 88470 176940 565333 1130666 1695999 2261332 2826665 3391998 5087997 5653330 6783996 8479995 10175994 11306660 16959990 20351988 25439985 33919980 50879970 101759940 555722339 1111444678 1667167017 2222889356 2778611695 3334334034 5001501051 5557223390 6668668068 8335835085 10003002102 11114446780 16671670170 20006004204 25007505255 33343340340 50015010510 100030021020