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202102303113100 = 225213881428941143
BaseRepresentation
bin101101111100111110011011…
…111111000011111110001100
3222111120210100222211112000101
4231330332123333003332030
5202442221004044104400
61553500303305140444
760366260322036535
oct5574763377037614
9874523328745011
10202102303113100
115943a118347195
121a80094448a724
1388a021c527ab0
1437c9b3737368c
15185722859056a
hexb7cf9bfc3f8c

202102303113100 has 144 divisors (see below), whose sum is σ = 472955367044160. Its totient is φ = 74518496870400.

The previous prime is 202102303113083. The next prime is 202102303113133. The reversal of 202102303113100 is 1311303201202.

It is a super-2 number, since 2×2021023031131002 (a number of 29 digits) contains 22 as substring.

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, 4912171129 + ... + 4912212271.

It is an arithmetic number, because the mean of its divisors is an integer number (3284412271140).

Almost surely, 2202102303113100 is an apocalyptic number.

202102303113100 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 202102303113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236477683522080).

202102303113100 is an abundant number, since it is smaller than the sum of its proper divisors (270853063931060).

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

202102303113100 is a wasteful number, since it uses less digits than its factorization.

202102303113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46340 (or 46333 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 202102303113100 its reverse (1311303201202), we get a palindrome (203413606314302).

The spelling of 202102303113100 in words is "two hundred two trillion, one hundred two billion, three hundred three million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 881 1300 1762 3524 4289 4405 8578 8810 11453 17156 17620 21445 22025 22906 41143 42890 44050 45812 55757 57265 82286 85780 88100 107225 111514 114530 164572 205715 214450 223028 229060 278785 286325 411430 428900 534859 557570 572650 822860 1028575 1069718 1115140 1145300 1393925 2057150 2139436 2674295 2787850 3778609 4114300 5348590 5575700 7557218 10697180 13371475 15114436 18893045 26742950 36246983 37786090 49121917 53485900 72493966 75572180 94465225 98243834 144987932 176462327 181234915 188930450 196487668 245609585 352924654 362469830 377860900 471210779 491219170 705849308 724939660 882311635 906174575 942421558 982438340 1228047925 1764623270 1812349150 1884843116 2294010251 2356053895 2456095850 3529246540 3624698300 4411558175 4588020502 4712107790 4912191700 8823116350 9176041004 9424215580 11470051255 11780269475 17646232700 22940102510 23560538950 45880205020 47121077900 57350256275 114700512550 155463310087 229401025100 310926620174 621853240348 777316550435 1554633100870 2021023031131 3109266201740 3886582752175 4042046062262 7773165504350 8084092124524 10105115155655 15546331008700 20210230311310 40420460622620 50525575778275 101051151556550 202102303113100