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101010099999984 = 24371371312192249
BaseRepresentation
bin10110111101111000111111…
…001000010001010011110000
3111020122110201112200010002020
4112331320333020101103300
5101214422141044444414
6554455222131151440
730163511304365340
oct2675707710212360
9436573645603066
10101010099999984
112a20416313859a
12b3b4526145580
134449299a42726
141ad2cb47acd20
15ba2787a987a9
hex5bde3f2114f0

101010099999984 has 80 divisors (see below), whose sum is σ = 298222605984000. Its totient is φ = 28859804951040.

The previous prime is 101010099999983. The next prime is 101010100000081. The reversal of 101010099999984 is 489999990010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010099999983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44979892 + ... + 47172140.

It is an arithmetic number, because the mean of its divisors is an integer number (3727782574800).

Almost surely, 2101010099999984 is an apocalyptic number.

101010099999984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101010099999984 is an abundant number, since it is smaller than the sum of its proper divisors (197212505984016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101010099999984 is a wasteful number, since it uses less digits than its factorization.

101010099999984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329398 (or 2329392 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 69.

The spelling of 101010099999984 in words is "one hundred one trillion, ten billion, ninety-nine million, nine hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 137131 274262 411393 548524 822786 959917 1097048 1645572 1919834 2192249 2194096 2879751 3291144 3839668 4384498 5759502 6576747 6582288 7679336 8768996 11519004 13153494 15345743 15358672 17537992 23038008 26306988 30691486 35075984 46037229 46076016 52613976 61382972 92074458 105227952 122765944 184148916 245531888 368297832 736595664 300625297619 601250595238 901875892857 1202501190476 1803751785714 2104377083333 2405002380952 3607503571428 4208754166666 4810004761904 6313131249999 7215007142856 8417508333332 12626262499998 14430014285712 16835016666664 25252524999996 33670033333328 50505049999992 101010099999984