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106470104013 = 32713295098807
BaseRepresentation
bin110001100101000011…
…1001101101111001101
3101011211002021200101200
41203022013031233031
53221022321312023
6120524531500113
710456266644340
oct1431207155715
9334732250350
10106470104013
1141176663aa9
1218774757639
13a06a0c3a60
145220482457
152b82282743
hex18ca1cdbcd

106470104013 has 96 divisors (see below), whose sum is σ = 196214054400. Its totient is φ = 54110827008.

The previous prime is 106470104009. The next prime is 106470104017. The reversal of 106470104013 is 310401074601.

It is a happy number.

106470104013 is a `hidden beast` number, since 1 + 0 + 647 + 0 + 1 + 0 + 4 + 0 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (106470104009) and next prime (106470104017).

It is not a de Polignac number, because 106470104013 - 22 = 106470104009 is a prime.

It is a super-2 number, since 2×1064701040132 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106470104017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12084856 + ... + 12093662.

It is an arithmetic number, because the mean of its divisors is an integer number (2043896400).

Almost surely, 2106470104013 is an apocalyptic number.

106470104013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106470104013 is a deficient number, since it is larger than the sum of its proper divisors (89743950387).

106470104013 is a wasteful number, since it uses less digits than its factorization.

106470104013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9371 (or 9368 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 106470104013 its reverse (310401074601), we get a palindrome (416871178614).

The spelling of 106470104013 in words is "one hundred six billion, four hundred seventy million, one hundred four thousand, thirteen".

Divisors: 1 3 7 9 13 21 29 39 63 87 91 117 203 261 273 377 509 609 819 1131 1527 1827 2639 3393 3563 4581 6617 7917 8807 10689 14761 19851 23751 26421 32067 44283 46319 59553 61649 79263 103327 114491 132849 138957 184947 191893 255403 309981 343473 416871 554841 575679 766209 801437 929943 1030419 1343251 1727037 1787821 2298627 2404311 3320239 4029753 4482763 5363463 7212933 9960717 12089259 13448289 16090389 23241673 29882151 31379341 40344867 58275919 69725019 94138023 130000127 174827757 209175057 282414069 390000381 407931433 524483271 910000889 1170001143 1223794299 1690001651 2730002667 3671382897 5070004953 8190008001 11830011557 15210014859 35490034671 106470104013