Search a number
-
+
20120102120 = 2355971120077
BaseRepresentation
bin10010101111010000…
…000110010011101000
31220221012112002101102
4102233100012103220
5312201221231440
613124255340532
71311411021566
oct225720062350
956835462342
1020120102120
118595300578
123a96221748
131b88539191
14d8c22aa36
157cb591b15
hex4af4064e8

20120102120 has 64 divisors (see below), whose sum is σ = 46686326400. Its totient is φ = 7800136960.

The previous prime is 20120102111. The next prime is 20120102129. The reversal of 20120102120 is 2120102102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20120102111) and next prime (20120102129).

It is not an unprimeable number, because it can be changed into a prime (20120102129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107522 + ... + 227598.

It is an arithmetic number, because the mean of its divisors is an integer number (729473850).

Almost surely, 220120102120 is an apocalyptic number.

20120102120 is a gapful number since it is divisible by the number (20) 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 20120102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23343163200).

20120102120 is an abundant number, since it is smaller than the sum of its proper divisors (26566224280).

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

20120102120 is a wasteful number, since it uses less digits than its factorization.

20120102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120218 (or 120214 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20120102120 its reverse (2120102102), we get a palindrome (22240204222).

The spelling of 20120102120 in words is "twenty billion, one hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 71 118 142 236 284 295 355 472 568 590 710 1180 1420 2360 2840 4189 8378 16756 20945 33512 41890 83780 120077 167560 240154 480308 600385 960616 1200770 2401540 4803080 7084543 8525467 14169086 17050934 28338172 34101868 35422715 42627335 56676344 68203736 70845430 85254670 141690860 170509340 283381720 341018680 503002553 1006005106 2012010212 2515012765 4024020424 5030025530 10060051060 20120102120