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10021137030 = 23252327717477
BaseRepresentation
bin10010101010100111…
…00110101010000110
3221212101112111200100
421111103212222012
5131010402341110
64334215424530
7503222154642
oct112523465206
927771474610
1010021137030
114282741633
121b38085146
13c391ab2a8
146b0ca5c22
153d9b85bc0
hex2554e6a86

10021137030 has 96 divisors (see below), whose sum is σ = 27287492544. Its totient is φ = 2546742528.

The previous prime is 10021137013. The next prime is 10021137031. The reversal of 10021137030 is 3073112001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10021136994 and 10021137012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021137031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564652 + ... + 582128.

It is an arithmetic number, because the mean of its divisors is an integer number (284244714).

Almost surely, 210021137030 is an apocalyptic number.

10021137030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021137030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13643746272).

10021137030 is an abundant number, since it is smaller than the sum of its proper divisors (17266355514).

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

10021137030 is a wasteful number, since it uses less digits than its factorization.

10021137030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17790 (or 17787 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

Adding to 10021137030 its reverse (3073112001), we get a palindrome (13094249031).

The spelling of 10021137030 in words is "ten billion, twenty-one million, one hundred thirty-seven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 277 345 414 554 690 831 1035 1385 1662 2070 2493 2770 4155 4986 6371 8310 12465 12742 17477 19113 24930 31855 34954 38226 52431 57339 63710 87385 95565 104862 114678 157293 174770 191130 262155 286695 314586 401971 524310 573390 786465 803942 1205913 1572930 2009855 2411826 3617739 4019710 4841129 6029565 7235478 9682258 12059130 14523387 18088695 24205645 29046774 36177390 43570161 48411290 72616935 87140322 111345967 145233870 217850805 222691934 334037901 435701610 556729835 668075802 1002113703 1113459670 1670189505 2004227406 3340379010 5010568515 10021137030