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100110011110002 = 232193719141420593
BaseRepresentation
bin10110110000110010101101…
…101001101001001001110010
3111010110102102210121221201100
4112300302231221221021302
5101110200300321010002
6552525523150345230
730041465254144335
oct2660625551511162
9433412383557640
10100110011110002
1129997465455403
12b289ba81bb216
1343b2444a329ca
141aa14c968861c
15b8915785e11c
hex5b0cada69272

100110011110002 has 96 divisors (see below), whose sum is σ = 235719629982720. Its totient is φ = 30598219722240.

The previous prime is 100110011109949. The next prime is 100110011110049. The reversal of 100110011110002 is 200011110011001.

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

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 47 ways as a sum of consecutive naturals, for example, 18293383 + ... + 23127210.

It is an arithmetic number, because the mean of its divisors is an integer number (2455412812320).

Almost surely, 2100110011110002 is an apocalyptic number.

100110011110002 is an abundant number, since it is smaller than the sum of its proper divisors (135609618872718).

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

100110011110002 is a wasteful number, since it uses less digits than its factorization.

100110011110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41420848 (or 41420845 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100110011110002 its reverse (200011110011001), we get a palindrome (300121121121003).

The spelling of 100110011110002 in words is "one hundred trillion, one hundred ten billion, eleven million, one hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 191 222 333 342 382 573 666 703 1146 1406 1719 2109 3438 3629 4218 6327 7067 7258 10887 12654 14134 21201 21774 32661 42402 63603 65322 127206 134273 268546 402819 805638 1208457 2416914 41420593 82841186 124261779 248523558 372785337 745570674 786991267 1532561941 1573982534 2360973801 3065123882 4597685823 4721947602 7082921403 7911333263 9195371646 13793057469 14165842806 15822666526 23733999789 27586114938 29118676879 47467999578 58237353758 71201999367 87356030637 142403998734 150315331997 174712061274 262068091911 292719330731 300630663994 450945995991 524136183822 585438661462 878157992193 901891991982 1352837987973 1756315984386 2634473976579 2705675975946 5268947953158 5561667283889 11123334567778 16685001851667 33370003703334 50055005555001 100110011110002