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100220200002 = 232134161317041
BaseRepresentation
bin101110101010110010…
…1101110010001000010
3100120200111222122212100
41131111211232101002
53120222332400002
6114012430411230
710145356434006
oct1352545562102
9316614878770
10100220200002
113955976567a
121750b660b16
1395b231a1c0
144bca3c0706
15291873411c
hex175596e442

100220200002 has 96 divisors (see below), whose sum is σ = 239955586416. Its totient is φ = 30034022400.

The previous prime is 100220200001. The next prime is 100220200009. The reversal of 100220200002 is 200002022001.

It can be written as a sum of positive squares in 8 ways, for example, as 3311887401 + 96908312601 = 57549^2 + 311301^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100220200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5872602 + ... + 5889642.

Almost surely, 2100220200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119977793208).

100220200002 is an abundant number, since it is smaller than the sum of its proper divisors (139735386414).

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

100220200002 is a wasteful number, since it uses less digits than its factorization.

100220200002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17716 (or 17713 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100220200002 its reverse (200002022001), we get a palindrome (300222222003).

The spelling of 100220200002 in words is "one hundred billion, two hundred twenty million, two hundred thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 613 738 1066 1226 1599 1839 3198 3678 4797 5517 7969 9594 11034 15938 17041 23907 25133 34082 47814 50266 51123 71721 75399 102246 143442 150798 153369 221533 226197 306738 326729 443066 452394 653458 664599 698681 980187 1329198 1397362 1960374 1993797 2096043 2940561 3987594 4192086 5881122 6288129 9082853 10446133 12576258 18165706 20892266 27248559 31338399 54497118 62676798 81745677 94015197 135799729 163491354 188030394 271599458 407399187 428291453 814798374 856582906 1222197561 1284874359 2444395122 2569748718 3854623077 5567788889 7709246154 11135577778 16703366667 33406733334 50110100001 100220200002