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22011113100 = 22352292530013
BaseRepresentation
bin10100011111111101…
…101110111010001100
32002210222210101210010
4110133331232322030
5330034321104400
614040050313220
71406312242254
oct243775567214
962728711703
1022011113100
119375777069
124323588810
1320ca2433a2
1410cb434964
1588c5c6450
hex51ff6ee8c

22011113100 has 72 divisors (see below), whose sum is σ = 65881564560. Its totient is φ = 5667226880.

The previous prime is 22011113057. The next prime is 22011113101. The reversal of 22011113100 is 131111022.

It is a super-2 number, since 2×220111131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22011113101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1256307 + ... + 1273706.

It is an arithmetic number, because the mean of its divisors is an integer number (915021730).

Almost surely, 222011113100 is an apocalyptic number.

22011113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011113100 is an abundant number, since it is smaller than the sum of its proper divisors (43870451460).

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

22011113100 is a wasteful number, since it uses less digits than its factorization.

22011113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530059 (or 2530052 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 22011113100 its reverse (131111022), we get a palindrome (22142224122).

The spelling of 22011113100 in words is "twenty-two billion, eleven million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 2530013 5060026 7590039 10120052 12650065 15180078 25300130 30360156 37950195 50600260 63250325 73370377 75900390 126500650 146740754 151800780 189750975 220111131 253001300 293481508 366851885 379501950 440222262 733703770 759003900 880444524 1100555655 1467407540 1834259425 2201111310 3668518850 4402222620 5502778275 7337037700 11005556550 22011113100