Search a number
-
+
10120100122010 = 2579179449159389
BaseRepresentation
bin1001001101000100010011…
…1110010000110110011010
31022211110202011210120220102
42103101010332100312122
52311301431112401020
633305035415255402
72063103341500514
oct223210476206632
938743664716812
1010120100122010
113251a017632aa
12117541507a562
13585423cc9a88
1426db5b898bb4
151283a8ac4475
hex93444f90d9a

10120100122010 has 64 divisors (see below), whose sum is σ = 18591249600000. Its totient is φ = 3965593841664.

The previous prime is 10120100122007. The next prime is 10120100122019. The reversal of 10120100122010 is 1022100102101.

It is a super-3 number, since 3×101201001220103 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120100121982 and 10120100122000.

It is not an unprimeable number, because it can be changed into a prime (10120100122019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63413396 + ... + 63572784.

It is an arithmetic number, because the mean of its divisors is an integer number (290488275000).

Almost surely, 210120100122010 is an apocalyptic number.

10120100122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120100122010 is a deficient number, since it is larger than the sum of its proper divisors (8471149477990).

10120100122010 is a wasteful number, since it uses less digits than its factorization.

10120100122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160103.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10120100122010 its reverse (1022100102101), we get a palindrome (11142200224111).

The spelling of 10120100122010 in words is "ten trillion, one hundred twenty billion, one hundred million, one hundred twenty-two thousand, ten".

Divisors: 1 2 5 10 79 158 179 358 395 449 790 895 898 1790 2245 4490 14141 28282 35471 70705 70942 80371 141410 159389 160742 177355 318778 354710 401855 796945 803710 1593890 6349309 12591731 12698618 25183462 28530631 31746545 57061262 62958655 63493090 71565661 125917310 142653155 143131322 285306310 357828305 715656610 2253919849 4507839698 5653687219 11269599245 11307374438 12810253319 22539198490 25620506638 28268436095 56536872190 64051266595 128102533190 1012010012201 2024020024402 5060050061005 10120100122010