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10000061430 = 2353075931831
BaseRepresentation
bin10010101000000110…
…01101001111110110
3221210220212202101120
421110003031033312
5130440003431210
64332144004410
7502545056022
oct112403151766
927726782346
1010000061430
114271857187
121b31000706
13c34a0c418
146ac17b382
153d7dc1270
hex2540cd3f6

10000061430 has 64 divisors (see below), whose sum is σ = 24132100608. Its totient is φ = 2652065280.

The previous prime is 10000061429. The next prime is 10000061441. The reversal of 10000061430 is 3416000001.

10000061430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5460615 + ... + 5462445.

It is an arithmetic number, because the mean of its divisors is an integer number (377064072).

Almost surely, 210000061430 is an apocalyptic number.

10000061430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000061430 is an abundant number, since it is smaller than the sum of its proper divisors (14132039178).

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

10000061430 is a wasteful number, since it uses less digits than its factorization.

10000061430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10000061430 its reverse (3416000001), we get a palindrome (13416061431).

The spelling of 10000061430 in words is "ten billion, sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 307 593 614 921 1186 1535 1779 1831 1842 2965 3070 3558 3662 4605 5493 5930 8895 9155 9210 10986 17790 18310 27465 54930 182051 364102 546153 562117 910255 1085783 1092306 1124234 1686351 1820510 2171566 2730765 2810585 3257349 3372702 5428915 5461530 5621170 6514698 8431755 10857830 16286745 16863510 32573490 333335381 666670762 1000006143 1666676905 2000012286 3333353810 5000030715 10000061430