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1042106310553 = 7111719711513511
BaseRepresentation
bin11110010101000100110…
…00000101111110011001
310200121212011212121212111
433022202120011332121
5114033213203414203
62114423110512321
7135201236325640
oct17124230057631
93617764777774
101042106310553
11371a55932260
12149b733656a1
13773688383b9
143861c664357
151c19311026d
hexf2a2605f99

1042106310553 has 64 divisors (see below), whose sum is σ = 1384254406656. Its totient is φ = 759507840000.

The previous prime is 1042106310551. The next prime is 1042106310617. The reversal of 1042106310553 is 3550136012401.

1042106310553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1042106310553 - 21 = 1042106310551 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1042106310551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296810068 + ... + 296813578.

It is an arithmetic number, because the mean of its divisors is an integer number (21628975104).

Almost surely, 21042106310553 is an apocalyptic number.

It is an amenable number.

1042106310553 is a deficient number, since it is larger than the sum of its proper divisors (342148096103).

1042106310553 is a wasteful number, since it uses less digits than its factorization.

1042106310553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4894.

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 1042106310553 in words is "one trillion, forty-two billion, one hundred six million, three hundred ten thousand, five hundred fifty-three".

Divisors: 1 7 11 17 77 119 187 197 1151 1309 1379 2167 3349 3511 8057 12661 15169 19567 23443 24577 36839 38621 59687 88627 136969 215237 226747 257873 270347 417809 656557 691667 1506659 1587229 2494217 3854699 4041161 4595899 4841669 7608337 11758339 17459519 26982893 28288127 42401689 44452771 53258359 68699737 82308373 129341729 296811823 311169397 480898159 755697107 796108717 905392103 5289879749 5572761019 8757195887 13533848189 61300371209 94736937323 148872330079 1042106310553