Search a number
-
+
10020111100220 = 2251343892113149
BaseRepresentation
bin1001000111001111110100…
…1010011010100100111100
31022110220122202210222221002
42101303331022122210330
52303132141420201340
633151101523425432
72052633460024454
oct221637512324474
938426582728832
1010020111100220
113213561546301
121159b6ab25278
13578b7a862220
14268d94094d64
151259a5807715
hex91cfd29a93c

10020111100220 has 144 divisors (see below), whose sum is σ = 23451535984800. Its totient is φ = 3573058148352.

The previous prime is 10020111100193. The next prime is 10020111100247. The reversal of 10020111100220 is 2200111102001.

It is an interprime number because it is at equal distance from previous prime (10020111100193) and next prime (10020111100247).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88500206 + ... + 88613354.

Almost surely, 210020111100220 is an apocalyptic number.

10020111100220 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 10020111100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11725767992400).

10020111100220 is an abundant number, since it is smaller than the sum of its proper divisors (13431424884580).

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

10020111100220 is a wasteful number, since it uses less digits than its factorization.

10020111100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113392 (or 113301 counting only the distinct ones).

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

Adding to 10020111100220 its reverse (2200111102001), we get a palindrome (12220222202221).

The spelling of 10020111100220 in words is "ten trillion, twenty billion, one hundred eleven million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 89 130 172 178 215 260 356 430 445 559 860 890 1118 1157 1780 2236 2314 2795 3827 4628 5590 5785 7654 7921 11180 11570 15308 15842 19135 23140 31684 38270 39605 49751 76540 79210 99502 102973 113149 158420 199004 205946 226298 248755 340603 411892 452596 497510 514865 565745 681206 995020 1029730 1131490 1362412 1470937 1703015 2059460 2262980 2941874 3406030 4427839 4865407 5883748 6812060 7354685 8855678 9730814 10070261 14709370 17711356 19461628 20140522 22139195 24327035 29418740 40281044 44278390 48654070 50351305 63250291 88556780 97308140 100702610 126500582 130913393 201405220 253001164 261826786 316251455 433021223 523653572 632502910 654566965 866042446 896253229 1265005820 1309133930 1732084892 1792506458 2165106115 2618267860 3585012916 4330212230 4481266145 5629275899 8660424460 8962532290 11258551798 11651291977 17925064580 22517103596 23302583954 28146379495 38538888847 46605167908 56292758990 58256459885 77077777694 112585517980 116512919770 154155555388 192694444235 233025839540 385388888470 501005555011 770777776940 1002011110022 2004022220044 2505027775055 5010055550110 10020111100220