Search a number
-
+
10131201220 = 2257539411451
BaseRepresentation
bin10010110111101110…
…11101110011000100
3222011001122100100211
421123313131303010
5131222041414340
64353150445204
7506026534540
oct113367356304
928131570324
1010131201220
114329887478
121b68b03804
13c55c3692a
146c1756a20
153e46775ea
hex25bdddcc4

10131201220 has 96 divisors (see below), whose sum is σ = 24817072896. Its totient is φ = 3402048000.

The previous prime is 10131201217. The next prime is 10131201247. The reversal of 10131201220 is 2210213101.

It is a self number, because there is not a number n which added to its sum of digits gives 10131201220.

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, 6981495 + ... + 6982945.

It is an arithmetic number, because the mean of its divisors is an integer number (258511176).

Almost surely, 210131201220 is an apocalyptic number.

10131201220 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 10131201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12408536448).

10131201220 is an abundant number, since it is smaller than the sum of its proper divisors (14685871676).

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

10131201220 is a wasteful number, since it uses less digits than its factorization.

10131201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10131201220 its reverse (2210213101), we get a palindrome (12341414321).

The spelling of 10131201220 in words is "ten billion, one hundred thirty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 941 1060 1451 1484 1855 1882 2902 3710 3764 4705 5804 6587 7255 7420 9410 10157 13174 14510 18820 20314 26348 29020 32935 40628 49873 50785 65870 76903 99746 101570 131740 153806 199492 203140 249365 307612 349111 384515 498730 538321 698222 769030 997460 1076642 1365391 1396444 1538060 1745555 2153284 2691605 2730782 3491110 5383210 5461564 6826955 6982220 9557737 10766420 13653910 19115474 27307820 38230948 47788685 72365723 95577370 144731446 191154740 289462892 361828615 506560061 723657230 1013120122 1447314460 2026240244 2532800305 5065600610 10131201220