Search a number
-
+
100010000111100 = 223521606320753699
BaseRepresentation
bin10110101111010101100100…
…100001111101010111111100
3111010002212021212021210210220
4112233111210201331113330
5101102030440012023400
6552411543151501340
730031325014526142
oct2657254441752774
9433085255253726
10100010000111100
1129959003897702
12b272736827850
1343a5b96b71b51
141a9a71cda3592
15b867526a07a0
hex5af56487d5fc

100010000111100 has 72 divisors (see below), whose sum is σ = 289380295142400. Its totient is φ = 26667671782080.

The previous prime is 100010000111081. The next prime is 100010000111101. The reversal of 100010000111100 is 1111000010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010000111101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5557950 + ... + 15195749.

Almost surely, 2100010000111100 is an apocalyptic number.

100010000111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010000111100 is an abundant number, since it is smaller than the sum of its proper divisors (189370295031300).

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

100010000111100 is a wasteful number, since it uses less digits than its factorization.

100010000111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20769779 (or 20769772 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100010000111100 its reverse (1111000010001), we get a palindrome (101121000121101).

The spelling of 100010000111100 in words is "one hundred trillion, ten billion, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 16063 32126 48189 64252 80315 96378 160630 192756 240945 321260 401575 481890 803150 963780 1204725 1606300 2409450 4818900 20753699 41507398 62261097 83014796 103768495 124522194 207536990 249044388 311305485 415073980 518842475 622610970 1037684950 1245221940 1556527425 2075369900 3113054850 6226109700 333366667037 666733334074 1000100001111 1333466668148 1666833335185 2000200002222 3333666670370 4000400004444 5000500005555 6667333340740 8334166675925 10001000011110 16668333351850 20002000022220 25002500027775 33336666703700 50005000055550 100010000111100