Search a number
-
+
101111010000000 = 27357721113237
BaseRepresentation
bin10110111111010110111101…
…110101010111110010000000
3111021000010012010122020200020
4112333112331311113302000
5101223100322030000000
6555013431242453440
730204013041262200
oct2677267565276200
9437003163566606
10101111010000000
112a242a36206120
12b40bba8804280
13445595bc3a400
141ad7b28630400
15ba51e1b37ba0
hex5bf5bdd57c80

101111010000000 has 4608 divisors, whose sum is σ = 473794365208320. Its totient is φ = 18869760000000.

The previous prime is 101111009999999. The next prime is 101111010000023. The reversal of 101111010000000 is 10111101.

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 an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2732729999982 + ... + 2732730000018.

Almost surely, 2101111010000000 is an apocalyptic number.

101111010000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236897182604160).

101111010000000 is an abundant number, since it is smaller than the sum of its proper divisors (372683355208320).

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

101111010000000 is an frugal number, since it uses more digits than its factorization.

101111010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 78 counting only the distinct ones).

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

Adding to 101111010000000 its reverse (10111101), we get a palindrome (101111020111101).

101111010000000 divided by its reverse (10111101) gives a 7-th power (10000000 = 107).

It can be divided in two parts, 1011 and 11010000000, that added together give a palindrome (11010001011).

The spelling of 101111010000000 in words is "one hundred one trillion, one hundred eleven billion, ten million", and thus it is an aban number.