Search a number
-
+
1012505241041 = 72947675932671
BaseRepresentation
bin11101011101111100000…
…00111110010111010001
310120210110020020111020122
432232332000332113101
5113042102320203131
62053045525120025
7133102552355510
oct16567600762721
93523406214218
101012505241041
113604458a3648
12144291b59015
137462bccbb58
14370111c2677
151b50e537d7b
hexebbe03e5d1

1012505241041 has 64 divisors (see below), whose sum is σ = 1243323924480. Its totient is φ = 806202270720.

The previous prime is 1012505241029. The next prime is 1012505241047. The reversal of 1012505241041 is 1401425052101.

It is a happy number.

It is not a de Polignac number, because 1012505241041 - 234 = 995325371857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1012505241041.

It is not an unprimeable number, because it can be changed into a prime (1012505241047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379072136 + ... + 379074806.

It is an arithmetic number, because the mean of its divisors is an integer number (19426936320).

Almost surely, 21012505241041 is an apocalyptic number.

It is an amenable number.

1012505241041 is a deficient number, since it is larger than the sum of its proper divisors (230818683439).

1012505241041 is a wasteful number, since it uses less digits than its factorization.

1012505241041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414.

The product of its (nonzero) digits is 1600, while the sum is 26.

The spelling of 1012505241041 in words is "one trillion, twelve billion, five hundred five million, two hundred forty-one thousand, forty-one".

Divisors: 1 7 29 47 67 203 329 469 593 1363 1943 2671 3149 4151 9541 13601 17197 18697 22043 27871 39731 77459 91321 120379 125537 178957 195097 278117 542213 639247 808259 878759 1152199 1252699 1583903 1867357 3640573 5189753 5657813 8065393 8410979 11087321 13071499 25484011 36328271 45933187 54153353 58876853 74443441 106121501 243918391 321532309 379073471 521104087 742850507 1707428737 2158859789 3077523529 4987710547 15112018523 21542664703 34913973829 144643605863 1012505241041