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1110002100210 = 232529228152189
BaseRepresentation
bin10000001001110001010…
…001111110011111110010
310221010002221210002210200
4100021301101332133302
5121141241014201320
62205532233140030
7143123613114363
oct20116121763762
93833087702720
101110002100210
1139882727aa13
1215b16155a616
138089904c673
143ba1da15b6a
151dd18b26290
hex1027147e7f2

1110002100210 has 144 divisors (see below), whose sum is σ = 2999648850120. Its totient is φ = 284771128320.

The previous prime is 1110002100197. The next prime is 1110002100227. The reversal of 1110002100210 is 120012000111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4671585801 + 1105330514409 = 68349^2 + 1051347^2 .

It is a super-2 number, since 2×11100021002102 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1110002100192 and 1110002100201.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21242796 + ... + 21294984.

Almost surely, 21110002100210 is an apocalyptic number.

1110002100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110002100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499824425060).

1110002100210 is an abundant number, since it is smaller than the sum of its proper divisors (1889646749910).

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

1110002100210 is a wasteful number, since it uses less digits than its factorization.

1110002100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52541 (or 52509 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1110002100210 its reverse (120012000111), we get a palindrome (1230014100321).

The spelling of 1110002100210 in words is "one trillion, one hundred ten billion, two million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 281 290 435 522 562 841 843 870 1305 1405 1682 1686 2523 2529 2610 2810 4205 4215 5046 5058 7569 8149 8410 8430 12615 12645 15138 16298 24447 25230 25290 37845 40745 48894 52189 73341 75690 81490 104378 122235 146682 156567 236321 244470 260945 313134 366705 469701 472642 521890 708963 733410 782835 939402 1181605 1417926 1513481 1565670 2126889 2348505 2363210 3026962 3544815 4253778 4540443 4697010 7089630 7567405 9080886 10634445 13621329 14665109 15134810 21268890 22702215 27242658 29330218 43890949 43995327 45404430 68106645 73325545 87781898 87990654 131672847 131985981 136213290 146651090 219454745 219976635 263345694 263971962 395018541 425288161 438909490 439953270 658364235 659929905 790037082 850576322 1275864483 1316728470 1319859810 1975092705 2126440805 2551728966 3827593449 3950185410 4252881610 6379322415 7655186898 12333356669 12758644830 19137967245 24666713338 37000070007 38275934490 61666783345 74000140014 111000210021 123333566690 185000350035 222000420042 370000700070 555001050105 1110002100210