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7830106141 = 112132478147
BaseRepresentation
bin1110100101011010…
…11111000000011101
3202012200201121100011
413102231133000131
5112014001344031
63332550203221
7365015542534
oct72255370035
922180647304
107830106141
113358988700
121626353511
1397a29a200
14543cc131b
1530c63b6b1
hex1d2b5f01d

7830106141 has 36 divisors (see below), whose sum is σ = 9519080256. Its totient is φ = 6430126560.

The previous prime is 7830106129. The next prime is 7830106153. The reversal of 7830106141 is 1416010387.

It is an interprime number because it is at equal distance from previous prime (7830106129) and next prime (7830106153).

It is a de Polignac number, because none of the positive numbers 2k-7830106141 is a prime.

It is a super-2 number, since 2×78301061412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7830106181) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 957030 + ... + 965176.

It is an arithmetic number, because the mean of its divisors is an integer number (264418896).

Almost surely, 27830106141 is an apocalyptic number.

It is an amenable number.

7830106141 is a deficient number, since it is larger than the sum of its proper divisors (1688974115).

7830106141 is a wasteful number, since it uses less digits than its factorization.

7830106141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8242 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 7830106141 is about 88487.8869733027. The cubic root of 7830106141 is about 1985.7407570177.

The spelling of 7830106141 in words is "seven billion, eight hundred thirty million, one hundred six thousand, one hundred forty-one".

Divisors: 1 11 13 47 121 143 169 517 611 1573 1859 5687 6721 7943 8147 20449 73931 87373 89617 105911 382909 961103 985787 1165021 1376843 4211999 4977817 12815231 15145273 46331989 54755987 64711621 166598003 602315857 711827831 7830106141