Search a number
-
+
201430200020 = 225737179217241
BaseRepresentation
bin1011101110011000101…
…1001110111011010100
3201020221000110101002112
42323212023032323110
511300012112400040
6232311420130152
720360425310240
oct2734613167324
9636830411075
10201430200020
1178476107695
1233056696958
1315cc171298a
149a6c015420
15538dcd2365
hex2ee62ceed4

201430200020 has 96 divisors (see below), whose sum is σ = 499274254080. Its totient is φ = 66819548160.

The previous prime is 201430200011. The next prime is 201430200031. The reversal of 201430200020 is 20002034102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201430199968 and 201430200004.

It is a congruent 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, 818600 + ... + 1035840.

It is an arithmetic number, because the mean of its divisors is an integer number (5200773480).

Almost surely, 2201430200020 is an apocalyptic number.

201430200020 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 201430200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249637127040).

201430200020 is an abundant number, since it is smaller than the sum of its proper divisors (297844054060).

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

201430200020 is a wasteful number, since it uses less digits than its factorization.

201430200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217473 (or 217471 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 201430200020 its reverse (20002034102), we get a palindrome (221432234122).

The spelling of 201430200020 in words is "two hundred one billion, four hundred thirty million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 179 185 259 358 370 518 716 740 895 1036 1253 1295 1790 2506 2590 3580 5012 5180 6265 6623 12530 13246 25060 26492 33115 46361 66230 92722 132460 185444 217241 231805 434482 463610 868964 927220 1086205 1520687 2172410 3041374 4344820 6082748 7603435 8037917 15206870 16075834 30413740 32151668 38886139 40189585 56265419 77772278 80379170 112530838 155544556 160758340 194430695 225061676 272202973 281327095 388861390 544405946 562654190 777722780 1088811892 1125308380 1361014865 1438787143 2722029730 2877574286 5444059460 5755148572 7193935715 10071510001 14387871430 20143020002 28775742860 40286040004 50357550005 100715100010 201430200020