Search a number
-
+
101111050610031 = 3711597418816539
BaseRepresentation
bin10110111111010111000000…
…010000010010010101101111
3111021000010021222001110011110
4112333113000100102111233
5101223100412424010111
6555013435253123103
730204014043410610
oct2677270020222557
9437003258043143
10101111050610031
112a242a57123030
12b40bbba329493
134455967488807
141ad7b2dba1c07
15ba51e54aa5a6
hex5bf5c041256f

101111050610031 has 32 divisors (see below), whose sum is σ = 170929533081600. Its totient is φ = 51634963104480.

The previous prime is 101111050610029. The next prime is 101111050610069. The reversal of 101111050610031 is 130016050111101.

It is not a de Polignac number, because 101111050610031 - 21 = 101111050610029 is a prime.

It is a super-2 number, since 2×1011110506100312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111050610081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3709394641 + ... + 3709421898.

It is an arithmetic number, because the mean of its divisors is an integer number (5341547908800).

Almost surely, 2101111050610031 is an apocalyptic number.

101111050610031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101111050610031 is a deficient number, since it is larger than the sum of its proper divisors (69818482471569).

101111050610031 is a wasteful number, since it uses less digits than its factorization.

101111050610031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418816619.

The product of its (nonzero) digits is 90, while the sum is 21.

The spelling of 101111050610031 in words is "one hundred one trillion, one hundred eleven billion, fifty million, six hundred ten thousand, thirty-one".

Divisors: 1 3 7 11 21 33 59 77 177 231 413 649 1239 1947 4543 13629 7418816539 22256449617 51931715773 81606981929 155795147319 244820945787 437710175801 571248873503 1313130527403 1713746620509 3063971230607 4814811933811 9191913691821 14444435801433 33703683536677 101111050610031