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20133122220 = 22325234863073
BaseRepresentation
bin10010110000000001…
…110001000010101100
31220222010000120121100
4102300001301002230
5312213034402340
613125442403100
71311626500221
oct226001610254
956863016540
1020133122220
1185a1693792
123a9a660490
131b8b147593
14d8dc59948
157cc7b4830
hex4b00710ac

20133122220 has 72 divisors (see below), whose sum is σ = 63725721696. Its totient is φ = 5135404032.

The previous prime is 20133122189. The next prime is 20133122221. The reversal of 20133122220 is 2222133102.

It is a super-2 number, since 2×201331222202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20133122193 and 20133122202.

It is not an unprimeable number, because it can be changed into a prime (20133122221) 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, 2427397 + ... + 2435676.

It is an arithmetic number, because the mean of its divisors is an integer number (885079468).

Almost surely, 220133122220 is an apocalyptic number.

20133122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20133122220 is an abundant number, since it is smaller than the sum of its proper divisors (43592599476).

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

20133122220 is a wasteful number, since it uses less digits than its factorization.

20133122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4863111 (or 4863106 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20133122220 its reverse (2222133102), we get a palindrome (22355255322).

The spelling of 20133122220 in words is "twenty billion, one hundred thirty-three million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 4863073 9726146 14589219 19452292 24315365 29178438 43767657 48630730 58356876 72946095 87535314 97261460 111850679 145892190 175070628 218838285 223701358 291784380 335552037 437676570 447402716 559253395 671104074 875353140 1006656111 1118506790 1342208148 1677760185 2013312222 2237013580 3355520370 4026624444 5033280555 6711040740 10066561110 20133122220