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10321142130 = 23251323834621
BaseRepresentation
bin10011001110011000…
…00010000101110010
3222122022001100022100
421213030002011302
5132114203022010
64424053521230
7513524155245
oct114714020562
928568040270
1010321142130
114417019932
122000643216
13c863ab4c0
146dca7b25c
154061962c0
hex267302172

10321142130 has 192 divisors, whose sum is σ = 30525610752. Its totient is φ = 2400330240.

The previous prime is 10321142087. The next prime is 10321142173. The reversal of 10321142130 is 3124112301.

10321142130 is a `hidden beast` number, since 1 + 0 + 3 + 211 + 421 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (10321142087) and next prime (10321142173).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2231220 + ... + 2235840.

It is an arithmetic number, because the mean of its divisors is an integer number (158987556).

Almost surely, 210321142130 is an apocalyptic number.

10321142130 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 10321142130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15262805376).

10321142130 is an abundant number, since it is smaller than the sum of its proper divisors (20204468622).

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

10321142130 is a wasteful number, since it uses less digits than its factorization.

10321142130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10321142130 its reverse (3124112301), we get a palindrome (13445254431).

The spelling of 10321142130 in words is "ten billion, three hundred twenty-one million, one hundred forty-two thousand, one hundred thirty".