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32101341220 = 22513474016551
BaseRepresentation
bin11101111001011000…
…111001100000100100
310001212012100002121201
4131321120321200210
51011220420404340
622425215052244
72214333620044
oct357130714044
9101765302551
1032101341220
1112683408873
12627a811084
133047832580
1417a7563724
15c7d35879a
hex779639824

32101341220 has 96 divisors (see below), whose sum is σ = 74339306496. Its totient is φ = 11569920000.

The previous prime is 32101341197. The next prime is 32101341241. The reversal of 32101341220 is 2214310123.

It is a happy number.

It is a super-2 number, since 2×321013412202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4896945 + ... + 4903495.

It is an arithmetic number, because the mean of its divisors is an integer number (774367776).

Almost surely, 232101341220 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 32101341220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37169653248).

32101341220 is an abundant number, since it is smaller than the sum of its proper divisors (42237965276).

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

32101341220 is a wasteful number, since it uses less digits than its factorization.

32101341220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 32101341220 its reverse (2214310123), we get a palindrome (34315651343).

It can be divided in two parts, 32101 and 341220, that added together give a square (373321 = 6112).

The spelling of 32101341220 in words is "thirty-two billion, one hundred one million, three hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 401 470 611 802 940 1222 1604 2005 2444 3055 4010 5213 6110 6551 8020 10426 12220 13102 18847 20852 26065 26204 32755 37694 52130 65510 75388 85163 94235 104260 131020 170326 188470 245011 307897 340652 376940 425815 490022 615794 851630 980044 1225055 1231588 1539485 1703260 2450110 2626951 3078970 4002661 4900220 5253902 6157940 8005322 10507804 13134755 16010644 20013305 26269510 34150363 40026610 52539020 68300726 80053220 123466697 136601452 170751815 246933394 341503630 493866788 617333485 683007260 1234666970 1605067061 2469333940 3210134122 6420268244 8025335305 16050670610 32101341220