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10342202130 = 23251375711677
BaseRepresentation
bin10011010000111000…
…10111101100010010
3222200202200022012100
421220130113230102
5132140100432010
64430125141230
7514201160541
oct115034275422
928622608170
1010342202130
1144279a3597
1220076ba816
13c8a873240
147017a0158
15407e562c0
hex268717b12

10342202130 has 96 divisors (see below), whose sum is σ = 28998903024. Its totient is φ = 2542192128.

The previous prime is 10342202107. The next prime is 10342202131. The reversal of 10342202130 is 3120224301.

It can be written as a sum of positive squares in 8 ways, for example, as 5071006521 + 5271195609 = 71211^2 + 72603^2 .

It is a super-2 number, since 2×103422021302 (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 not an unprimeable number, because it can be changed into a prime (10342202131) 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, 879852 + ... + 891528.

Almost surely, 210342202130 is an apocalyptic number.

10342202130 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 10342202130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14499451512).

10342202130 is an abundant number, since it is smaller than the sum of its proper divisors (18656700894).

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

10342202130 is a wasteful number, since it uses less digits than its factorization.

10342202130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12460 (or 12457 counting only the distinct ones).

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

Adding to 10342202130 its reverse (3120224301), we get a palindrome (13462426431).

The spelling of 10342202130 in words is "ten billion, three hundred forty-two million, two hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 757 1170 1514 2271 3785 4542 6813 7570 9841 11355 11677 13626 19682 22710 23354 29523 34065 35031 49205 58385 59046 68130 70062 88569 98410 105093 116770 147615 151801 175155 177138 210186 295230 303602 350310 442845 455403 525465 759005 885690 910806 1050930 1366209 1518010 2277015 2732418 4554030 6831045 8839489 13662090 17678978 26518467 44197445 53036934 79555401 88394890 114913357 132592335 159110802 229826714 265184670 344740071 397777005 574566785 689480142 795554010 1034220213 1149133570 1723700355 2068440426 3447400710 5171101065 10342202130