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10082148037 = 1343113193827
BaseRepresentation
bin10010110001111000…
…10101111011000101
3222000122100012001021
421120330111323011
5131122012214122
64344235231141
7504562562413
oct113074257305
928018305037
1010082148037
114304123055
121b545a84b1
13c48a20490
146b90282b3
153e01d81c7
hex258f15ec5

10082148037 has 32 divisors (see below), whose sum is σ = 11280221568. Its totient is φ = 8952201216.

The previous prime is 10082147983. The next prime is 10082148053. The reversal of 10082148037 is 73084128001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10082148037 - 227 = 9947930309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10082147993 and 10082148011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082148067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12190818 + ... + 12191644.

It is an arithmetic number, because the mean of its divisors is an integer number (352506924).

Almost surely, 210082148037 is an apocalyptic number.

It is an amenable number.

10082148037 is a deficient number, since it is larger than the sum of its proper divisors (1198073531).

10082148037 is a wasteful number, since it uses less digits than its factorization.

10082148037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189.

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 10082148037 in words is "ten billion, eighty-two million, one hundred forty-eight thousand, thirty-seven".

Divisors: 1 13 43 113 193 559 827 1469 2509 4859 8299 10751 21809 35561 63167 93451 107887 159611 283517 462293 937787 1214863 2074943 4018393 6863273 12191231 18036043 52239109 89222549 234468559 775549849 10082148037