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11010300100100 = 22527433209113989
BaseRepresentation
bin1010000000111000100100…
…0001101011111000000100
31102222120111202002222101022
42200032021001223320010
52420343043311200400
635230021222250312
72214316333452560
oct240161101537004
942876452088338
1011010300100100
113565495406634
121299a53286998
1361b361345a42
142a0c894d66a0
1514160aa95b85
hexa038906be04

11010300100100 has 144 divisors (see below), whose sum is σ = 27949509033600. Its totient is φ = 3685988920320.

The previous prime is 11010300100067. The next prime is 11010300100109. The reversal of 11010300100100 is 100100301011.

It is not an unprimeable number, because it can be changed into a prime (11010300100109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96533906 + ... + 96647894.

Almost surely, 211010300100100 is an apocalyptic number.

11010300100100 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 11010300100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13974754516800).

11010300100100 is an abundant number, since it is smaller than the sum of its proper divisors (16939208933500).

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

11010300100100 is a wasteful number, since it uses less digits than its factorization.

11010300100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117262 (or 117255 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 11010300100100 its reverse (100100301011), we get a palindrome (11110400401111).

The spelling of 11010300100100 in words is "eleven trillion, ten billion, three hundred million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 602 700 860 1075 1204 1505 2150 3010 3209 4300 6020 6418 7525 12836 15050 16045 22463 30100 32090 44926 64180 80225 89852 112315 113989 137987 160450 224630 227978 275974 320900 449260 455956 551948 561575 569945 689935 797923 965909 1123150 1139890 1379870 1595846 1931818 2246300 2279780 2759740 2849725 3191692 3449675 3863636 3989615 4829545 4901527 5699450 6899350 7979230 9659090 9803054 11398900 13798700 15958460 19318180 19606108 19948075 24147725 24507635 34310689 39896150 48295450 49015270 68621378 79792300 96590900 98030540 122538175 137242756 171553445 245076350 343106890 365790701 490152700 686213780 731581402 857767225 1463162804 1715534450 1828953505 2560534907 3431068900 3657907010 5121069814 7315814020 9144767525 10242139628 12802674535 15729000143 18289535050 25605349070 31458000286 36579070100 51210698140 62916000572 64013372675 78645000715 110103001001 128026745350 157290001430 220206002002 256053490700 314580002860 393225003575 440412004004 550515005005 786450007150 1101030010010 1572900014300 2202060020020 2752575025025 5505150050050 11010300100100