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133322002020 = 223255716072137
BaseRepresentation
bin111110000101010011…
…1000100111001100100
3110202010102212102200200
41330022213010321210
54141020413031040
6141125225110500
712426562214304
oct1741247047144
9422112772620
10133322002020
11515a5881449
1221a09328430
13c7591bb5bc
14664a771604
153704810630
hex1f0a9c4e64

133322002020 has 144 divisors (see below), whose sum is σ = 405975618048. Its totient is φ = 35415221760.

The previous prime is 133322001979. The next prime is 133322002039. The reversal of 133322002020 is 20200223331.

It is a happy number.

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 = 133322001984 and 133322002002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62386392 + ... + 62388528.

Almost surely, 2133322002020 is an apocalyptic number.

133322002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133322002020 is an abundant number, since it is smaller than the sum of its proper divisors (272653616028).

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

133322002020 is a wasteful number, since it uses less digits than its factorization.

133322002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 133322002020 its reverse (20200223331), we get a palindrome (153522225351).

The spelling of 133322002020 in words is "one hundred thirty-three billion, three hundred twenty-two million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 571 607 1142 1214 1713 1821 2137 2284 2428 2855 3035 3426 3642 4274 5139 5463 5710 6070 6411 6852 7284 8548 8565 9105 10278 10685 10926 11420 12140 12822 17130 18210 19233 20556 21370 21852 25644 25695 27315 32055 34260 36420 38466 42740 51390 54630 64110 76932 96165 102780 109260 128220 192330 346597 384660 693194 1039791 1220227 1297159 1386388 1732985 2079582 2440454 2594318 3119373 3465970 3660681 3891477 4159164 4880908 5188636 5198955 6101135 6238746 6485795 6931940 7321362 7782954 10397910 10982043 11674431 12202270 12477492 12971590 14642724 15565908 15596865 18303405 19457385 20795820 21964086 23348862 24404540 25943180 31193730 36606810 38914770 43928172 46697724 54910215 58372155 62387460 73213620 77829540 109820430 116744310 219640860 233488620 740677789 1481355578 2222033367 2962711156 3703388945 4444066734 6666100101 7406777890 8888133468 11110166835 13332200202 14813555780 22220333670 26664400404 33330500505 44440667340 66661001010 133322002020