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132121301440020 = 223517331140927489
BaseRepresentation
bin11110000010100111100011…
…001111010101011000010100
3122022210200011122220202022120
4132002213203033111120110
5114304133411132040040
61144555404333455540
736554310005350644
oct3602474317253024
9568720148822276
10132121301440020
11391093692a42a2
1212999bb06415b0
135894ca6824169
14248a9c2b6c524
151041ba19037d0
hex7829e33d5614

132121301440020 has 96 divisors (see below), whose sum is σ = 373274424956160. Its totient is φ = 34916058562560.

The previous prime is 132121301440019. The next prime is 132121301440021. The reversal of 132121301440020 is 20044103121231.

It is an interprime number because it is at equal distance from previous prime (132121301440019) and next prime (132121301440021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121301440021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17235565 + ... + 23691924.

It is an arithmetic number, because the mean of its divisors is an integer number (3888275259960).

Almost surely, 2132121301440020 is an apocalyptic number.

132121301440020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132121301440020 is an abundant number, since it is smaller than the sum of its proper divisors (241153123516140).

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

132121301440020 is a wasteful number, since it uses less digits than its factorization.

132121301440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40927985 (or 40927983 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132121301440020 its reverse (20044103121231), we get a palindrome (152165404561251).

The spelling of 132121301440020 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, three hundred one million, four hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 173 311 346 519 622 692 865 933 1038 1244 1555 1730 1866 2076 2595 3110 3460 3732 4665 5190 6220 9330 10380 18660 53803 107606 161409 215212 269015 322818 538030 645636 807045 1076060 1614090 3228180 40927489 81854978 122782467 163709956 204637445 245564934 409274890 491129868 613912335 818549780 1227824670 2455649340 7080455597 12728449079 14160911194 21241366791 25456898158 28321822388 35402277985 38185347237 42482733582 50913796316 63642245395 70804555970 76370694474 84965467164 106206833955 127284490790 141609111940 152741388948 190926736185 212413667910 254568981580 381853472370 424827335820 763706944740 2202021690667 4404043381334 6606065072001 8808086762668 11010108453335 13212130144002 22020216906670 26424260288004 33030325360005 44040433813340 66060650720010 132121301440020