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10202013234 = 2337181149113
BaseRepresentation
bin10011000000001011…
…00101111000110010
3222022222212222012000
421200011211320302
5131343203410414
64404200314430
7510546452550
oct114005457062
928288788160
1010202013234
1143658525a6
121b88772a16
13c677cac2a
146cad0abd0
153ea9b3b09
hex260165e32

10202013234 has 64 divisors (see below), whose sum is σ = 26053198080. Its totient is φ = 2898737280.

The previous prime is 10202013187. The next prime is 10202013247. The reversal of 10202013234 is 43231020201.

It is a super-2 number, since 2×102020132342 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon 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, 6139 + ... + 142974.

It is an arithmetic number, because the mean of its divisors is an integer number (407081220).

Almost surely, 210202013234 is an apocalyptic number.

10202013234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202013234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13026599040).

10202013234 is an abundant number, since it is smaller than the sum of its proper divisors (15851184846).

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

10202013234 is a wasteful number, since it uses less digits than its factorization.

10202013234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149312 (or 149306 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10202013234 its reverse (43231020201), we get a palindrome (53433033435).

The spelling of 10202013234 in words is "ten billion, two hundred two million, thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 181 189 362 378 543 1086 1267 1629 2534 3258 3801 4887 7602 9774 11403 22806 34209 68418 149113 298226 447339 894678 1043791 1342017 2087582 2684034 3131373 4026051 6262746 8052102 9394119 18788238 26989453 28182357 53978906 56364714 80968359 161936718 188926171 242905077 377852342 485810154 566778513 728715231 1133557026 1457430462 1700335539 3400671078 5101006617 10202013234