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101000220011111 = 4179479578311257
BaseRepresentation
bin10110111101101111110010…
…001111000110101001100111
3111020121112012222201200021102
4112331233302033012221213
5101214241422310323421
6554450505512510315
730163011415022141
oct2675576217065147
9436545188650242
10101000220011111
112a1aaa53142733
12b3b26293ab39b
134448383b84275
141ad2618569c91
15ba23aa4e460b
hex5bdbf23c6a67

101000220011111 has 32 divisors (see below), whose sum is σ = 105019523481600. Its totient is φ = 97060977861120.

The previous prime is 101000220011107. The next prime is 101000220011113. The reversal of 101000220011111 is 111110022000101.

It is a cyclic number.

It is not a de Polignac number, because 101000220011111 - 22 = 101000220011107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000220011092 and 101000220011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000220011113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8972208995 + ... + 8972220251.

It is an arithmetic number, because the mean of its divisors is an integer number (3281860108800).

Almost surely, 2101000220011111 is an apocalyptic number.

101000220011111 is a deficient number, since it is larger than the sum of its proper divisors (4019303470489).

101000220011111 is a wasteful number, since it uses less digits than its factorization.

101000220011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17639.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101000220011111 its reverse (111110022000101), we get a palindrome (212110242011212).

The spelling of 101000220011111 in words is "one hundred one trillion, two hundred twenty million, eleven thousand, one hundred eleven".

Divisors: 1 41 79 479 3239 5783 11257 19639 37841 237103 456857 461537 889303 1551481 2770057 5392103 18731137 36461423 65099231 113572337 218834503 221076223 425976137 2669068471 5142839249 8972214623 17465021617 31182531649 210856409209 1278483797609 2463420000271 101000220011111