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100388386243124 = 227177191213241817
BaseRepresentation
bin10110110100110101111110…
…000110100000001000110100
3111011110000222020112220212222
4112310311332012200020310
5101124230403334234444
6553301442111501512
730100551536553620
oct2664657606401064
9434400866486788
10100388386243124
1129a94525a070a1
12b313b37527898
1344027796554a5
141ab0b767ba180
15b914eb7deeee
hex5b4d7e1a0234

100388386243124 has 96 divisors (see below), whose sum is σ = 213059223659520. Its totient is φ = 40402973233152.

The previous prime is 100388386243097. The next prime is 100388386243129. The reversal of 100388386243124 is 421342683883001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100388386243129) 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, 415021064 + ... + 415262880.

It is an arithmetic number, because the mean of its divisors is an integer number (2219366913120).

Almost surely, 2100388386243124 is an apocalyptic number.

100388386243124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100388386243124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106529611829760).

100388386243124 is an abundant number, since it is smaller than the sum of its proper divisors (112670837416396).

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

100388386243124 is a wasteful number, since it uses less digits than its factorization.

100388386243124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243777 (or 243775 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 53.

The spelling of 100388386243124 in words is "one hundred trillion, three hundred eighty-eight billion, three hundred eighty-six million, two hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 719 1213 1438 2426 2876 4852 5033 8491 10066 12223 16982 20132 20621 24446 33964 41242 48892 82484 85561 144347 171122 241817 288694 342244 483634 577388 872147 967268 1692719 1744294 3385438 3488588 4110889 6105029 6770876 8221778 12210058 14826499 16443556 24420116 28776223 29652998 57552446 59305996 103785493 115104892 173866423 207570986 293324021 347732846 415141972 586648042 695465692 1173296084 1217064961 2053268147 2434129922 2955729191 4106536294 4868259844 4986508357 5911458382 8213072588 9973016714 11822916764 19946033428 20690104337 34905558499 41380208674 69811116998 82760417348 139622233996 210899971099 421799942198 843599884396 1476299797693 2952599595386 3585299508683 5905199190772 7170599017366 14341198034732 25097096560781 50194193121562 100388386243124