Search a number
-
+
2111031356 = 2272371137337
BaseRepresentation
bin111110111010011…
…1100100000111100
312110010021111121112
41331310330200330
513310411000411
6545250421152
7103212320240
oct17564744074
95403244545
102111031356
11993693115
124aab917b8
13278480ca5
1416051c420
15c54e5b8b
hex7dd3c83c

2111031356 has 96 divisors (see below), whose sum is σ = 4513646592. Its totient is φ = 844462080.

The previous prime is 2111031353. The next prime is 2111031361. The reversal of 2111031356 is 6531301112.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111031353) 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, 6264020 + ... + 6264356.

It is an arithmetic number, because the mean of its divisors is an integer number (47017152).

Almost surely, 22111031356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111031356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256823296).

2111031356 is an abundant number, since it is smaller than the sum of its proper divisors (2402615236).

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

2111031356 is a wasteful number, since it uses less digits than its factorization.

2111031356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 2111031356 is about 45945.9612588528. The cubic root of 2111031356 is about 1282.8175556098.

Adding to 2111031356 its reverse (6531301112), we get a palindrome (8642332468).

The spelling of 2111031356 in words is "two billion, one hundred eleven million, thirty-one thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 23 28 46 71 92 137 142 161 274 284 322 337 497 548 644 674 959 994 1348 1633 1918 1988 2359 3151 3266 3836 4718 6302 6532 7751 9436 9727 11431 12604 15502 19454 22057 22862 23927 31004 38908 44114 45724 46169 47854 54257 68089 88228 92338 95708 108514 136178 167489 184676 217028 223721 272356 323183 334978 447442 550321 646366 669956 894884 1061887 1100642 1292732 1566047 2123774 2201284 3132094 3277999 3852247 4247548 6264188 6555998 7433209 7704494 13111996 14866418 15408988 22945993 29732836 45891986 75393977 91783972 150787954 301575908 527757839 1055515678 2111031356