Search a number
-
+
100200212000006 = 22323137239345479
BaseRepresentation
bin10110110010000110101110…
…000010101110110100000110
3111010210001021001111221010012
4112302012232002232310012
5101113140013233000011
6553035201504430222
730051140443103126
oct2662065602566406
9433701231457105
10100200212000006
1129a21742507098
12b2a3580318372
1343baabb3613c1
141aa5a0511ac86
15b8b68666da8b
hex5b21ae0aed06

100200212000006 has 96 divisors (see below), whose sum is σ = 167268481228800. Its totient is φ = 44933642550720.

The previous prime is 100200211999967. The next prime is 100200212000023. The reversal of 100200212000006 is 600000212002001.

It is a super-2 number, since 2×1002002120000062 (a number of 29 digits) contains 22 as substring.

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, 289859975 + ... + 290205453.

It is an arithmetic number, because the mean of its divisors is an integer number (1742380012800).

Almost surely, 2100200212000006 is an apocalyptic number.

100200212000006 is a deficient number, since it is larger than the sum of its proper divisors (67068269228794).

100200212000006 is a wasteful number, since it uses less digits than its factorization.

100200212000006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345834 (or 345811 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100200212000006 its reverse (600000212002001), we get a palindrome (700200424002007).

The spelling of 100200212000006 in words is "one hundred trillion, two hundred billion, two hundred twelve million, six", and thus it is an aban number.

Divisors: 1 2 23 31 37 46 62 74 239 478 529 713 851 1058 1147 1426 1702 2294 5497 7409 8843 10994 14818 16399 17686 19573 26381 32798 39146 52762 126431 170407 203389 252862 274133 340814 345479 406778 548266 606763 690958 1213526 3919361 4677947 6305059 7838722 7946017 9355894 10709849 12610118 12782723 15892034 21419698 25565446 82569481 145016357 165138962 182758391 246326527 290032714 294002629 365516782 396264413 492653054 588005258 792528826 1899098063 2559653911 3055070797 3798196126 5119307822 5665510121 6110141594 6762060467 9114081499 11331020242 13524120934 18228162998 43679255449 58872039953 70266628331 87358510898 94707194707 117744079906 140533256662 189414389414 209623874477 419247748954 1354056918919 1616132451613 2178265478261 2708113837838 3232264903226 4356530956522 50100106000003 100200212000006