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1021020110100 = 2232522349324643
BaseRepresentation
bin11101101101110011000…
…10100111110100010100
310121121102122110122201100
432312321202213310110
5113212022122010400
62101014500230100
7133523554511604
oct16667142476424
93547378418640
101021020110100
11364015263811
12145a6969b330
1375388101c03
14375bbdd2c04
151b85bd37100
hexedb98a7d14

1021020110100 has 108 divisors (see below), whose sum is σ = 3339475697376. Its totient is φ = 260434109760.

The previous prime is 1021020110093. The next prime is 1021020110111. The reversal of 1021020110100 is 10110201201.

It is a happy number.

It is a super-2 number, since 2×10210201101002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24641622 + ... + 24683021.

It is an arithmetic number, because the mean of its divisors is an integer number (30921071272).

Almost surely, 21021020110100 is an apocalyptic number.

1021020110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021020110100 is an abundant number, since it is smaller than the sum of its proper divisors (2318455587276).

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

1021020110100 is a wasteful number, since it uses less digits than its factorization.

1021020110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49324686 (or 49324676 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1021020110100 its reverse (10110201201), we get a palindrome (1031130311301).

The spelling of 1021020110100 in words is "one trillion, twenty-one billion, twenty million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2070 2300 3450 4140 5175 6900 10350 20700 49324643 98649286 147973929 197298572 246623215 295947858 443921787 493246430 591895716 739869645 887843574 986492860 1134466789 1233116075 1479739290 1775687148 2219608935 2268933578 2466232150 2959478580 3403400367 3699348225 4439217870 4537867156 4932464300 5672333945 6806800734 7398696450 8878435740 10210201101 11098044675 11344667890 13613601468 14797392900 17017001835 20420402202 22196089350 22689335780 28361669725 34034003670 40840804404 44392178700 51051005505 56723339450 68068007340 85085009175 102102011010 113446678900 170170018350 204204022020 255255027525 340340036700 510510055050 1021020110100