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11200021110120 = 23351011097842383
BaseRepresentation
bin1010001011111011010101…
…0001111001110101101000
31110122201012201122212110010
42202332311101321311220
52432000120401010440
635453115122051520
72234113651442013
oct242766521716550
943581181585403
1011200021110120
1136289a1a29497
12130a7804a9ba0
13633207c24a0b
142aa12639037a
151465118ed580
hexa2fb5479d68

11200021110120 has 128 divisors (see below), whose sum is σ = 33963709847040. Its totient is φ = 2954402150400.

The previous prime is 11200021110101. The next prime is 11200021110151. The reversal of 11200021110120 is 2101112000211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11200021110096 and 11200021110105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12874449 + ... + 13716831.

It is an arithmetic number, because the mean of its divisors is an integer number (265341483180).

Almost surely, 211200021110120 is an apocalyptic number.

11200021110120 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 11200021110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16981854923520).

11200021110120 is an abundant number, since it is smaller than the sum of its proper divisors (22763688736920).

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

11200021110120 is a wasteful number, since it uses less digits than its factorization.

11200021110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843595 (or 843591 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11200021110120 its reverse (2101112000211), we get a palindrome (13301133110331).

The spelling of 11200021110120 in words is "eleven trillion, two hundred billion, twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1097 1212 1515 2020 2194 2424 3030 3291 4040 4388 5485 6060 6582 8776 10970 12120 13164 16455 21940 26328 32910 43880 65820 110797 131640 221594 332391 443188 553985 664782 842383 886376 1107970 1329564 1661955 1684766 2215940 2527149 2659128 3323910 3369532 4211915 4431880 5054298 6647820 6739064 8423830 10108596 12635745 13295640 16847660 20217192 25271490 33695320 50542980 85080683 101085960 170161366 255242049 340322732 425403415 510484098 680645464 850806830 924094151 1020968196 1276210245 1701613660 1848188302 2041936392 2552420490 2772282453 3403227320 3696376604 4620470755 5104840980 5544564906 7392753208 9240941510 10209681960 11089129812 13861412265 18481883020 22178259624 27722824530 36963766040 55445649060 93333509251 110891298120 186667018502 280000527753 373334037004 466667546255 560001055506 746668074008 933335092510 1120002111012 1400002638765 1866670185020 2240004222024 2800005277530 3733340370040 5600010555060 11200021110120