Search a number
-
+
10100202010220 = 2257595772119211
BaseRepresentation
bin1001001011111010001011…
…1100111111011001101100
31022202120101102222210000002
42102332202330333121230
52310440203203311340
633251545125523432
72061500264362010
oct222764274773154
938676342883002
1010100202010220
1132445207a5413
1211715a1273578
135835a277722a
1426cbd0d36540
15127ae1c82715
hex92fa2f3f66c

10100202010220 has 96 divisors (see below), whose sum is σ = 24694075445760. Its totient is φ = 3398331248640.

The previous prime is 10100202010189. The next prime is 10100202010267. The reversal of 10100202010220 is 2201020200101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3706415 + ... + 5825625.

It is an arithmetic number, because the mean of its divisors is an integer number (257229952560).

Almost surely, 210100202010220 is an apocalyptic number.

10100202010220 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 10100202010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12347037722880).

10100202010220 is an abundant number, since it is smaller than the sum of its proper divisors (14593873435540).

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

10100202010220 is a wasteful number, since it uses less digits than its factorization.

10100202010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119863 (or 2119861 counting only the distinct ones).

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

Adding to 10100202010220 its reverse (2201020200101), we get a palindrome (12301222210321).

The spelling of 10100202010220 in words is "ten trillion, one hundred billion, two hundred two million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 577 590 826 1154 1180 1652 2065 2308 2885 4039 4130 5770 8078 8260 11540 16156 20195 34043 40390 68086 80780 136172 170215 238301 340430 476602 680860 953204 1191505 2119211 2383010 4238422 4766020 8476844 10596055 14834477 21192110 29668954 42384220 59337908 74172385 125033449 148344770 250066898 296689540 500133796 625167245 875234143 1222784747 1250334490 1750468286 2445569494 2500668980 3500936572 4376170715 4891138988 6113923735 8559493229 8752341430 12227847470 17118986458 17504682860 24455694940 34237972916 42797466145 72144300073 85594932290 144288600146 171189864580 288577200292 360721500365 505010100511 721443000730 1010020201022 1442886001460 2020040402044 2525050502555 5050101005110 10100202010220