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11055672100 = 225211101191521
BaseRepresentation
bin10100100101111100…
…00010101100100100
31001112111012100000001
422102332002230210
5140120223001400
65025013231044
7540653443114
oct122276025444
931474170001
1011055672100
1147637030a0
122186632484
13107261a715
1476c443044
1544a8d9a6a
hex292f82b24

11055672100 has 144 divisors (see below), whose sum is σ = 26620296192. Its totient is φ = 3952000000.

The previous prime is 11055672053. The next prime is 11055672109. The reversal of 11055672100 is 127655011.

It is not an unprimeable number, because it can be changed into a prime (11055672109) 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, 21219840 + ... + 21220360.

It is an arithmetic number, because the mean of its divisors is an integer number (184863168).

Almost surely, 211055672100 is an apocalyptic number.

11055672100 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 11055672100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310148096).

11055672100 is an abundant number, since it is smaller than the sum of its proper divisors (15564624092).

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

11055672100 is a wasteful number, since it uses less digits than its factorization.

11055672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The spelling of 11055672100 in words is "eleven billion, fifty-five million, six hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 191 202 220 275 382 404 505 521 550 764 955 1010 1042 1100 1111 1910 2020 2084 2101 2222 2525 2605 3820 4202 4444 4775 5050 5210 5555 5731 8404 9550 10100 10420 10505 11110 11462 13025 19100 19291 21010 22220 22924 26050 27775 28655 38582 42020 52100 52525 52621 55550 57310 77164 96455 99511 105050 105242 111100 114620 143275 192910 199022 210100 210484 212201 263105 286550 385820 398044 424402 482275 497555 526210 573100 578831 848804 964550 995110 1052420 1061005 1094621 1157662 1315525 1929100 1990220 2122010 2189242 2315324 2487775 2631050 2894155 4244020 4378484 4975550 5262100 5305025 5473105 5788310 9951100 10050611 10610050 10946210 11576620 14470775 20101222 21220100 21892420 27365525 28941550 40202444 50253055 54731050 57883100 100506110 109462100 110556721 201012220 221113442 251265275 442226884 502530550 552783605 1005061100 1105567210 2211134420 2763918025 5527836050 11055672100