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100553305202244 = 22333167194469987
BaseRepresentation
bin10110110111001111100100…
…000010011001111001000100
3111012000210122201200002021000
4112313033210002121321010
5101134431132112432434
6553505314541253300
730115510432564536
oct2667174402317104
9435023581602230
10100553305202244
112a048465405024
12b33baa2564230
13441519ca178bb
141ab8b3d6d7856
15b95950026b99
hex5b73e4099e44

100553305202244 has 96 divisors (see below), whose sum is σ = 269143341465600. Its totient is φ = 32431715223840.

The previous prime is 100553305202227. The next prime is 100553305202261. The reversal of 100553305202244 is 442202503355001.

100553305202244 is a `hidden beast` number, since 1 + 0 + 0 + 55 + 330 + 52 + 0 + 224 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (100553305202227) and next prime (100553305202261).

It is a super-2 number, since 2×1005533052022442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100553305202199 and 100553305202208.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20260219 + ... + 24730205.

It is an arithmetic number, because the mean of its divisors is an integer number (2803576473600).

Almost surely, 2100553305202244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100553305202244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134571670732800).

100553305202244 is an abundant number, since it is smaller than the sum of its proper divisors (168590036263356).

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

100553305202244 is a wasteful number, since it uses less digits than its factorization.

100553305202244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476750 (or 4476742 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 100553305202244 its reverse (442202503355001), we get a palindrome (542755808557245).

The spelling of 100553305202244 in words is "one hundred trillion, five hundred fifty-three billion, three hundred five million, two hundred two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 6719 13438 20157 26876 40314 60471 80628 120942 181413 208289 241884 362826 416578 624867 725652 833156 1249734 1874601 2499468 3749202 4469987 5623803 7498404 8939974 11247606 13409961 17879948 22495212 26819922 40229883 53639844 80459766 120689649 138569597 160919532 241379298 277139194 415708791 482758596 554278388 831417582 1247126373 1662835164 2494252746 3741379119 4988505492 7482758238 14965516476 30033842653 60067685306 90101527959 120135370612 180203055918 270304583877 360406111836 540609167754 810913751631 931049122243 1081218335508 1621827503262 1862098244486 2793147366729 3243655006524 3724196488972 5586294733458 8379442100187 11172589466916 16758884200374 25138326300561 33517768400748 50276652601122 100553305202244