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101101201120 = 2555910709873
BaseRepresentation
bin101111000101000011…
…0011110011011100000
3100122221220202011012101
41132022012132123200
53124023401413440
6114240101340144
710206245013253
oct1361206363340
9318856664171
10101101201120
1139970aa0877
1217716707654
1396c29c103a
144c713d309a
15296ac5b69a
hex178a19e6e0

101101201120 has 48 divisors (see below), whose sum is σ = 242899942320. Its totient is φ = 39755044864.

The previous prime is 101101201067. The next prime is 101101201147. The reversal of 101101201120 is 21102101101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101101201097 and 101101201106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5345497 + ... + 5364376.

It is an arithmetic number, because the mean of its divisors is an integer number (5060415465).

Almost surely, 2101101201120 is an apocalyptic number.

101101201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101201120 is an abundant number, since it is smaller than the sum of its proper divisors (141798741200).

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

101101201120 is a wasteful number, since it uses less digits than its factorization.

101101201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10709947 (or 10709939 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101101201120 its reverse (21102101101), we get a palindrome (122203302221).

The spelling of 101101201120 in words is "one hundred one billion, one hundred one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2360 4720 9440 10709873 21419746 42839492 53549365 85678984 107098730 171357968 214197460 342715936 428394920 631882507 856789840 1263765014 1713579680 2527530028 3159412535 5055060056 6318825070 10110120112 12637650140 20220240224 25275300280 50550600560 101101201120