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100132213233330 = 23252161035148379
BaseRepresentation
bin10110110001000111011001…
…000000000001011010110010
3111010112112202002211200021100
4112301013121000001122302
5101111031233041431310
6552544034223105230
730043212406113015
oct2661073100013262
9433475662750240
10100132213233330
11299a5918a24263
12b292363742216
1343b45727035a5
141aa25d420137c
15b89a06ab5ec0
hex5b11d90016b2

100132213233330 has 48 divisors (see below), whose sum is σ = 260345009695680. Its totient is φ = 26701794781344.

The previous prime is 100132213233307. The next prime is 100132213233343. The reversal of 100132213233330 is 33332312231001.

100132213233330 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 2 + 2 + 1 + 323 + 3 + 330 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100132213233294 and 100132213233303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16875081 + ... + 22023459.

It is an arithmetic number, because the mean of its divisors is an integer number (5423854368660).

Almost surely, 2100132213233330 is an apocalyptic number.

100132213233330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100132213233330 is an abundant number, since it is smaller than the sum of its proper divisors (160212796462350).

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

100132213233330 is a wasteful number, since it uses less digits than its factorization.

100132213233330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364495 (or 5364492 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 100132213233330 its reverse (33332312231001), we get a palindrome (133464525464331).

The spelling of 100132213233330 in words is "one hundred trillion, one hundred thirty-two billion, two hundred thirteen million, two hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 216103 432206 648309 1080515 1296618 1944927 2161030 3241545 3889854 5148379 6483090 9724635 10296758 15445137 19449270 25741895 30890274 46335411 51483790 77225685 92670822 154451370 231677055 463354110 1112580147037 2225160294074 3337740441111 5562900735185 6675480882222 10013221323333 11125801470370 16688702205555 20026442646666 33377404411110 50066106616665 100132213233330