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10030321023100 = 22527791391304893
BaseRepresentation
bin1001000111110101110110…
…1110001011100001111100
31022111220000022120211002221
42101331131232023201330
52303314044140214400
633155511005455124
72053444463652460
oct221753556134174
938456008524087
1010030321023100
1132179208004a4
12115bb3a2714a4
13579b16b9c401
142696820604a0
15125da1d2ec1a
hex91f5db8b87c

10030321023100 has 144 divisors (see below), whose sum is σ = 25371315020800. Its totient is φ = 3371005797120.

The previous prime is 10030321023061. The next prime is 10030321023113. The reversal of 10030321023100 is 132012303001.

It is a super-2 number, since 2×100303210231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7034254 + ... + 8339146.

Almost surely, 210030321023100 is an apocalyptic number.

10030321023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030321023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12685657510400).

10030321023100 is an abundant number, since it is smaller than the sum of its proper divisors (15340993997700).

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

10030321023100 is a wasteful number, since it uses less digits than its factorization.

10030321023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305132 (or 1305125 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10030321023100 its reverse (132012303001), we get a palindrome (10162333326101).

The spelling of 10030321023100 in words is "ten trillion, thirty billion, three hundred twenty-one million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 139 140 158 175 278 316 350 395 553 556 695 700 790 973 1106 1390 1580 1946 1975 2212 2765 2780 3475 3892 3950 4865 5530 6950 7900 9730 10981 11060 13825 13900 19460 21962 24325 27650 43924 48650 54905 55300 76867 97300 109810 153734 219620 274525 307468 384335 549050 768670 1098100 1304893 1537340 1921675 2609786 3843350 5219572 6524465 7686700 9134251 13048930 18268502 26097860 32622325 36537004 45671255 65244650 91342510 103086547 130489300 181380127 182685020 206173094 228356275 362760254 412346188 456712550 515432735 721605829 725520508 906900635 913425100 1030865470 1269660889 1443211658 1813801270 2061730940 2539321778 2577163675 2886423316 3608029145 3627602540 4534503175 5078643556 5154327350 6348304445 7216058290 9069006350 10308654700 12696608890 14329030033 14432116580 18040145725 18138012700 25393217780 28658060066 31741522225 36080291450 57316120132 63483044450 71645150165 72160582900 100303210231 126966088900 143290300330 200606420462 286580600660 358225750825 401212840924 501516051155 716451501650 1003032102310 1432903003300 2006064204620 2507580255775 5015160511550 10030321023100