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132355224213100 = 225271711122287749
BaseRepresentation
bin11110000110000001011010…
…000111111001011001101100
3122100122000222010212212012221
4132012001122013321121230
5114322001444344304400
61145255052310405124
736610230561204010
oct3606013207713154
9570560863785187
10132355224213100
1139199598635a49
1212a173b49607a4
1358b1075b2aa15
142498054268540
151047ce306ec1a
hex78605a1f966c

132355224213100 has 72 divisors (see below), whose sum is σ = 347549247612000. Its totient is φ = 42709584952320.

The previous prime is 132355224213097. The next prime is 132355224213127. The reversal of 132355224213100 is 1312422553231.

It is a super-3 number, since 3×1323552242131003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5561131975 + ... + 5561155774.

It is an arithmetic number, because the mean of its divisors is an integer number (4827072883500).

Almost surely, 2132355224213100 is an apocalyptic number.

132355224213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132355224213100 is an abundant number, since it is smaller than the sum of its proper divisors (215194023398900).

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

132355224213100 is a wasteful number, since it uses less digits than its factorization.

132355224213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122287787 (or 11122287780 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 132355224213100 its reverse (1312422553231), we get a palindrome (133667646766331).

The spelling of 132355224213100 in words is "one hundred thirty-two trillion, three hundred fifty-five billion, two hundred twenty-four million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11900 11122287749 22244575498 44489150996 55611438745 77856014243 111222877490 155712028486 189078891733 222445754980 278057193725 311424056972 378157783466 389280071215 556114387450 756315566932 778560142430 945394458665 1112228774900 1323552242131 1557120284860 1890788917330 1946400356075 2647104484262 3781577834660 3892800712150 4726972293325 5294208968524 6617761210655 7785601424300 9453944586650 13235522421310 18907889173300 26471044842620 33088806053275 66177612106550 132355224213100