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100222221738966 = 23291915881512779
BaseRepresentation
bin10110110010011011001101…
…111011001110001111010110
3111010212011001221201111221020
4112302123031323032033112
5101114020102231121331
6553053241505502010
730052550040563235
oct2662331573161726
9433764057644836
10100222221738966
1129a300074247a8
12b2a78a3341906
1343bcbb8213192
141aa6ad22b4b1c
15b8c023a72c96
hex5b26cdece3d6

100222221738966 has 64 divisors (see below), whose sum is σ = 208477805875200. Its totient is φ = 32081032569600.

The previous prime is 100222221738959. The next prime is 100222221738967. The reversal of 100222221738966 is 669837122222001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222221738967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195192765 + ... + 195705543.

It is an arithmetic number, because the mean of its divisors is an integer number (3257465716800).

Almost surely, 2100222221738966 is an apocalyptic number.

100222221738966 is an abundant number, since it is smaller than the sum of its proper divisors (108255584136234).

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

100222221738966 is a wasteful number, since it uses less digits than its factorization.

100222221738966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518885.

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 100222221738966 in words is "one hundred trillion, two hundred twenty-two billion, two hundred twenty-one million, seven hundred thirty-eight thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 29 58 87 174 191 382 573 1146 5539 5881 11078 11762 16617 17643 33234 35286 170549 341098 511647 512779 1023294 1025558 1123271 1538337 2246542 3076674 3369813 6739626 14870591 29741182 32574859 44611773 65149718 89223546 97724577 97940789 195449154 195881578 293822367 587644734 2840282881 3015653299 5680565762 6031306598 8520848643 9046959897 17041697286 18093919794 87453945671 174907891342 262361837013 524723674026 575989780109 1151979560218 1727969340327 3455938680654 16703703623161 33407407246322 50111110869483 100222221738966