Search a number
-
+
201501132130100 = 2252112513947184903
BaseRepresentation
bin101101110100001110100011…
…011001110000011100110100
3222102110022122100120100211102
4231310032203121300130310
5202402343304311130400
61552320201524425232
760304655620016105
oct5564164331603464
9872408570510742
10201501132130100
1159228171a66850
121a724329548218
1388586240c584a
1437a89c77943ac
151846790a199d5
hexb743a3670734

201501132130100 has 144 divisors (see below), whose sum is σ = 479032490958336. Its totient is φ = 72962329200000.

The previous prime is 201501132130099. The next prime is 201501132130121. The reversal of 201501132130100 is 1031231105102.

201501132130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089674249 + ... + 1089859151.

It is an arithmetic number, because the mean of its divisors is an integer number (3326614520544).

Almost surely, 2201501132130100 is an apocalyptic number.

201501132130100 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 201501132130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239516245479168).

201501132130100 is an abundant number, since it is smaller than the sum of its proper divisors (277531358828236).

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

201501132130100 is a wasteful number, since it uses less digits than its factorization.

201501132130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189126 (or 189119 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 201501132130100 its reverse (1031231105102), we get a palindrome (202532363235202).

The spelling of 201501132130100 in words is "two hundred one trillion, five hundred one billion, one hundred thirty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 251 275 502 550 1004 1100 1255 2510 2761 3947 5020 5522 6275 7894 11044 12550 13805 15788 19735 25100 27610 39470 43417 55220 69025 78940 86834 98675 138050 173668 184903 197350 217085 276100 369806 394700 434170 739612 868340 924515 990697 1085425 1849030 1981394 2033933 2170850 3698060 3962788 4067866 4341700 4622575 4953485 8135732 9245150 9906970 10169665 10897667 18490300 19813940 20339330 21795334 24767425 40678660 43590668 46410653 49534850 50848325 54488335 92821306 99069700 101696650 108976670 185642612 203393300 217953340 232053265 272441675 464106530 510517183 544883350 729812141 928213060 1021034366 1089766700 1160266325 1459624282 2042068732 2320532650 2552585915 2919248564 3649060705 4641065300 5105171830 7298121410 8027933551 10210343660 12762929575 14596242820 16055867102 18245303525 25525859150 32111734204 36490607050 40139667755 51051718300 72981214100 80279335510 160558671020 183182847391 200698338775 366365694782 401396677550 732731389564 802793355100 915914236955 1831828473910 2015011321301 3663656947820 4030022642602 4579571184775 8060045285204 9159142369550 10075056606505 18318284739100 20150113213010 40300226426020 50375283032525 100750566065050 201501132130100