Search a number
-
+
201012110220 = 223531941114847
BaseRepresentation
bin1011101100110101000…
…0010110001110001100
3201012211212202012201010
42323031100112032030
511243133100011340
6232202123045220
720344160513445
oct2731520261614
9635755665633
10201012110220
1178281106629
1232b5a670810
1315c55c0956c
149a2c6a22cc
155367248b80
hex2ecd41638c

201012110220 has 96 divisors (see below), whose sum is σ = 581612322816. Its totient is φ = 51818515200.

The previous prime is 201012110197. The next prime is 201012110249. The reversal of 201012110220 is 22011210102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201012110196 and 201012110205.

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, 1692837 + ... + 1807683.

It is an arithmetic number, because the mean of its divisors is an integer number (6058461696).

Almost surely, 2201012110220 is an apocalyptic number.

201012110220 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 201012110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290806161408).

201012110220 is an abundant number, since it is smaller than the sum of its proper divisors (380600212596).

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

201012110220 is a wasteful number, since it uses less digits than its factorization.

201012110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115831 (or 115829 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201012110220 its reverse (22011210102), we get a palindrome (223023320322).

The spelling of 201012110220 in words is "two hundred one billion, twelve million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 941 1860 1882 2823 3764 4705 5646 9410 11292 14115 18820 28230 29171 56460 58342 87513 114847 116684 145855 175026 229694 291710 344541 350052 437565 459388 574235 583420 689082 875130 1148470 1378164 1722705 1750260 2296940 3445410 3560257 6890820 7120514 10680771 14241028 17801285 21361542 35602570 42723084 53403855 71205140 106807710 108071027 213615420 216142054 324213081 432284108 540355135 648426162 1080710270 1296852324 1621065405 2161420540 3242130810 3350201837 6484261620 6700403674 10050605511 13400807348 16751009185 20101211022 33502018370 40202422044 50253027555 67004036740 100506055110 201012110220