Search a number
-
+
100001111004 = 223314911935209
BaseRepresentation
bin101110100100010000…
…1111101101111011100
3100120010020201210021000
41131020201331233130
53114300241023004
6113535002510300
710140056263404
oct1351041755734
9316106653230
10100001111004
1139457024893
121746a205390
139578b0b342
144ba926d804
1529043a8c39
hex174887dbdc

100001111004 has 96 divisors (see below), whose sum is σ = 261271080000. Its totient is φ = 33075883008.

The previous prime is 100001110969. The next prime is 100001111027. The reversal of 100001111004 is 400111100001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19195152 + ... + 19200360.

It is an arithmetic number, because the mean of its divisors is an integer number (2721573750).

Almost surely, 2100001111004 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 100001111004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130635540000).

100001111004 is an abundant number, since it is smaller than the sum of its proper divisors (161269968996).

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

100001111004 is a wasteful number, since it uses less digits than its factorization.

100001111004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6556 counting only the distinct ones).

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

Adding to 100001111004 its reverse (400111100001), we get a palindrome (500112211005).

The spelling of 100001111004 in words is "one hundred billion, one million, one hundred eleven thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 1193 1341 1788 2386 2682 3579 4023 4772 5209 5364 7158 8046 10418 10737 14316 15627 16092 20836 21474 31254 32211 42948 46881 62508 64422 93762 128844 140643 177757 187524 281286 355514 533271 562572 711028 776141 1066542 1552282 1599813 2133084 2328423 3104564 3199626 4656846 4799439 6214337 6399252 6985269 9313692 9598878 12428674 13970538 18643011 19197756 20955807 24857348 27941076 37286022 41911614 55929033 74572044 83823228 111858066 167787099 223716132 335574198 671148396 925936213 1851872426 2777808639 3703744852 5555617278 8333425917 11111234556 16666851834 25000277751 33333703668 50000555502 100001111004