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100122200244 = 2232113741166667
BaseRepresentation
bin101110100111110111…
…1111000100010110100
3100120102200120202110200
41131033233320202310
53120022240401434
6113555010120500
710143056442303
oct1351757704264
9316380522420
10100122200244
113950940aa40
12174a2880130
139597c26c91
144bbb39043a
15290ed27199
hex174fbf88b4

100122200244 has 144 divisors (see below), whose sum is σ = 290474323776. Its totient is φ = 28799884800.

The previous prime is 100122200237. The next prime is 100122200257. The reversal of 100122200244 is 442002221001.

100122200244 is a `hidden beast` number, since 100 + 122 + 200 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517399 + ... + 684065.

It is an arithmetic number, because the mean of its divisors is an integer number (2017182804).

Almost surely, 2100122200244 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 100122200244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145237161888).

100122200244 is an abundant number, since it is smaller than the sum of its proper divisors (190352123532).

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

100122200244 is a wasteful number, since it uses less digits than its factorization.

100122200244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166766 (or 166761 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100122200244 its reverse (442002221001), we get a palindrome (542124421245).

The spelling of 100122200244 in words is "one hundred billion, one hundred twenty-two million, two hundred thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 41 44 66 74 82 99 111 123 132 148 164 198 222 246 333 369 396 407 444 451 492 666 738 814 902 1221 1332 1353 1476 1517 1628 1804 2442 2706 3034 3663 4059 4551 4884 5412 6068 7326 8118 9102 13653 14652 16236 16687 18204 27306 33374 50061 54612 66748 100122 150183 166667 200244 300366 333334 500001 600732 666668 1000002 1500003 1833337 2000004 3000006 3666674 5500011 6000012 6166679 6833347 7333348 11000022 12333358 13666694 16500033 18500037 20500041 22000044 24666716 27333388 33000066 37000074 41000082 55500111 61500123 66000132 67833469 74000148 75166817 82000164 111000222 123000246 135666938 150333634 203500407 222000444 225500451 246000492 252833839 271333876 300667268 407000814 451000902 505667678 610501221 676501353 758501517 814001628 902001804 1011335356 1221002442 1353002706 1517003034 2275504551 2442004884 2706005412 2781172229 3034006068 4551009102 5562344458 8343516687 9102018204 11124688916 16687033374 25030550061 33374066748 50061100122 100122200244