Search a number
-
+
10120000220 = 22511317320327
BaseRepresentation
bin10010110110011001…
…01111001011011100
3222010021120021110222
421123030233023130
5131211210001340
64352110420512
7505532403551
oct113314571334
928107507428
1010120000220
114323526a50
121b65201738
13c53814515
146c007ca28
153e36b38b5
hex25b32f2dc

10120000220 has 96 divisors (see below), whose sum is σ = 24260898816. Its totient is φ = 3512332800.

The previous prime is 10120000213. The next prime is 10120000237. The reversal of 10120000220 is 2200002101.

It is a junction number, because it is equal to n+sod(n) for n = 10120000198 and 10120000207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487697 + ... + 508023.

It is an arithmetic number, because the mean of its divisors is an integer number (252717696).

Almost surely, 210120000220 is an apocalyptic number.

10120000220 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 10120000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12130449408).

10120000220 is an abundant number, since it is smaller than the sum of its proper divisors (14140898596).

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

10120000220 is a wasteful number, since it uses less digits than its factorization.

10120000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20451 (or 20449 counting only the distinct ones).

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

Adding to 10120000220 its reverse (2200002101), we get a palindrome (12320002321).

The spelling of 10120000220 in words is "ten billion, one hundred twenty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 73 110 124 146 155 220 292 310 341 365 620 682 730 803 1364 1460 1606 1705 2263 3212 3410 4015 4526 6820 8030 9052 11315 16060 20327 22630 24893 40654 45260 49786 81308 99572 101635 124465 203270 223597 248930 406540 447194 497860 630137 894388 1117985 1260274 1483871 2235970 2520548 2967742 3150685 4471940 5935484 6301370 6931507 7419355 12602740 13863014 14838710 16322581 27726028 29677420 32645162 34657535 46000001 65290324 69315070 81612905 92000002 138630140 163225810 184000004 230000005 326451620 460000010 506000011 920000020 1012000022 2024000044 2530000055 5060000110 10120000220