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11000020093720 = 2357794657106783
BaseRepresentation
bin1010000000010010010001…
…0010100100101100011000
31102221120222022110112201021
42200010210102210230120
52420211020120444340
635221201154132224
72213503516032520
oct240044422445430
942846868415637
1011000020093720
11356109a633699
121297a64581074
1361a3b363b028
142a05920c6680
15141208327e4a
hexa01244a4b18

11000020093720 has 128 divisors (see below), whose sum is σ = 28650232627200. Its totient is φ = 3722861316096.

The previous prime is 11000020093693. The next prime is 11000020093723. The reversal of 11000020093720 is 2739002000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000020093723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102959449 + ... + 103066231.

It is an arithmetic number, because the mean of its divisors is an integer number (223829942400).

Almost surely, 211000020093720 is an apocalyptic number.

11000020093720 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 11000020093720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325116313600).

11000020093720 is an abundant number, since it is smaller than the sum of its proper divisors (17650212533480).

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

11000020093720 is a wasteful number, since it uses less digits than its factorization.

11000020093720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111537 (or 111533 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 11000020093720 its reverse (2739002000011), we get a palindrome (13739022093731).

The spelling of 11000020093720 in words is "eleven trillion, twenty million, ninety-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1106 1580 2212 2765 3160 4424 4657 5530 9314 11060 18628 22120 23285 32599 37256 46570 65198 93140 106783 130396 162995 186280 213566 260792 325990 367903 427132 533915 651980 735806 747481 854264 1067830 1303960 1471612 1494962 1839515 2135660 2575321 2943224 2989924 3679030 3737405 4271320 5150642 5979848 7358060 7474810 8435857 10301284 12876605 14716120 14949620 16871714 20602568 25753210 29899240 33743428 42179285 51506420 59050999 67486856 84358570 103012840 118101998 168717140 236203996 295254995 337434280 472407992 497288431 590509990 994576862 1181019980 1989153724 2362039960 2486442155 3481019017 3978307448 4972884310 6962038034 9945768620 13924076068 17405095085 19891537240 27848152136 34810190170 39285786049 69620380340 78571572098 139240760680 157143144196 196428930245 275000502343 314286288392 392857860490 550001004686 785715720980 1100002009372 1375002511715 1571431441960 2200004018744 2750005023430 5500010046860 11000020093720