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100222011220194 = 232291012563974143
BaseRepresentation
bin10110110010011011000001…
…011000001010000011100010
3111010212010112021121001110200
4112302123001120022003202
5101114014134333021234
6553053204545410030
730052541603316003
oct2662330130120342
9433763467531420
10100222011220194
1129a2aa09607946
12b2a7844939916
1343bcb83715166
141aa6ab23551aa
15b8c01033bd99
hex5b26c160a0e2

100222011220194 has 96 divisors (see below), whose sum is σ = 226871564774400. Its totient is φ = 31934323612800.

The previous prime is 100222011220171. The next prime is 100222011220207. The reversal of 100222011220194 is 491022110222001.

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 47 ways as a sum of consecutive naturals, for example, 1351702287 + ... + 1351776429.

It is an arithmetic number, because the mean of its divisors is an integer number (2363245466400).

Almost surely, 2100222011220194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222011220194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113435782387200).

100222011220194 is an abundant number, since it is smaller than the sum of its proper divisors (126649553554206).

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

100222011220194 is a wasteful number, since it uses less digits than its factorization.

100222011220194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99920 (or 99917 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 100222011220194 its reverse (491022110222001), we get a palindrome (591244121442195).

The spelling of 100222011220194 in words is "one hundred trillion, two hundred twenty-two billion, eleven million, two hundred twenty thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 29 58 87 101 174 202 261 303 522 606 909 1818 2929 5858 8787 17574 25639 26361 51278 52722 74143 76917 148286 153834 222429 230751 444858 461502 667287 743531 1334574 1487062 2150147 2230593 2589539 4300294 4461186 5179078 6450441 6691779 7488443 7768617 12900882 13383558 14976886 15537234 19351323 22465329 23305851 38702646 44930658 46611702 67395987 75096631 134791974 150193262 217164847 225289893 434329694 450579786 651494541 675869679 1302989082 1351739358 1900952377 1954483623 3801904754 3908967246 5702857131 11405714262 17108571393 34217142786 55127618933 110255237866 165382856799 191996190077 330765713598 383992380154 496148570397 575988570231 992297140794 1151977140462 1727965710693 3455931421386 5567889512233 11135779024466 16703668536699 33407337073398 50111005610097 100222011220194