Search a number
-
+
2102011032120 = 233522378550487
BaseRepresentation
bin11110100101101001100…
…111101111001000111000
321102221122202121012122220
4132211221213233020320
5233414404311011440
64245352303244040
7304602535653666
oct36455147571070
97387582535586
102102011032120
117405044790aa
1229b4732a9620
131232ac8b173c
1473a48a3bc36
1539a28a588d0
hex1e9699ef238

2102011032120 has 64 divisors (see below), whose sum is σ = 6334311352320. Its totient is φ = 558022652544.

The previous prime is 2102011032109. The next prime is 2102011032157. The reversal of 2102011032120 is 212301102012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2102011032120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39248484 + ... + 39302003.

It is an arithmetic number, because the mean of its divisors is an integer number (98973614880).

Almost surely, 22102011032120 is an apocalyptic number.

2102011032120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102011032120 is an abundant number, since it is smaller than the sum of its proper divisors (4232300320200).

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

2102011032120 is a wasteful number, since it uses less digits than its factorization.

2102011032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78550724 (or 78550720 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2102011032120 its reverse (212301102012), we get a palindrome (2314312134132).

The spelling of 2102011032120 in words is "two trillion, one hundred two billion, eleven million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 669 892 1115 1338 1784 2230 2676 3345 4460 5352 6690 8920 13380 26760 78550487 157100974 235651461 314201948 392752435 471302922 628403896 785504870 942605844 1178257305 1571009740 1885211688 2356514610 3142019480 4713029220 9426058440 17516758601 35033517202 52550275803 70067034404 87583793005 105100551606 140134068808 175167586010 210201103212 262751379015 350335172020 420402206424 525502758030 700670344040 1051005516060 2102011032120