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100022120111 = 1934635412069
BaseRepresentation
bin101110100100111001…
…0000110111010101111
3100120011201021011100002
41131021302012322233
53114321130320421
6113541033054515
710140432664424
oct1351162067257
9316151234302
10100022120111
1139467974291
121747525743b
139580285b74
144babd7bd4b
152906158b0b
hex1749c86eaf

100022120111 has 16 divisors (see below), whose sum is σ = 100992551040. Its totient is φ = 99057530880.

The previous prime is 100022120101. The next prime is 100022120119. The reversal of 100022120111 is 111021220001.

It is a cyclic number.

It is not a de Polignac number, because 100022120111 - 218 = 100021857967 is a prime.

It is a super-2 number, since 2×1000221201112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022120092 and 100022120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022120119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48342185 + ... + 48344253.

It is an arithmetic number, because the mean of its divisors is an integer number (6312034440).

Almost surely, 2100022120111 is an apocalyptic number.

100022120111 is a deficient number, since it is larger than the sum of its proper divisors (970430929).

100022120111 is a wasteful number, since it uses less digits than its factorization.

100022120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100022120111 its reverse (111021220001), we get a palindrome (211043340112).

The spelling of 100022120111 in words is "one hundred billion, twenty-two million, one hundred twenty thousand, one hundred eleven".

Divisors: 1 193 463 541 2069 89359 104413 250483 399317 957947 1119329 48343219 184883771 216030497 518249327 100022120111