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1222135340034 = 2371092299471231
BaseRepresentation
bin10001110010001100111…
…100010101110000000010
311022211112201020220002010
4101302030330111300002
5130010413121340114
62333235145433350
7154203436663050
oct21621474256002
94284481226063
101222135340034
114313395a1744
12178a3679b856
138b3294a4c4b
144321a2591d0
1521bcd14ec59
hex11c8cf15c02

1222135340034 has 128 divisors (see below), whose sum is σ = 2836682956800. Its totient is φ = 343823927040.

The previous prime is 1222135340033. The next prime is 1222135340047. The reversal of 1222135340034 is 4300435312221.

It is a super-2 number, since 2×12221353400342 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1222135339983 and 1222135340010.

It is not an unprimeable number, because it can be changed into a prime (1222135340033) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 992798199 + ... + 992799429.

It is an arithmetic number, because the mean of its divisors is an integer number (22161585600).

Almost surely, 21222135340034 is an apocalyptic number.

1222135340034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1222135340034 is an abundant number, since it is smaller than the sum of its proper divisors (1614547616766).

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

1222135340034 is a wasteful number, since it uses less digits than its factorization.

1222135340034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528.

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 1222135340034 in words is "one trillion, two hundred twenty-two billion, one hundred thirty-five million, three hundred forty thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 109 218 229 327 458 654 687 763 947 1231 1374 1526 1603 1894 2289 2462 2841 3206 3693 4578 4809 5682 6629 7386 8617 9618 13258 17234 19887 24961 25851 39774 49922 51702 74883 103223 134179 149766 174727 206446 216863 268358 281899 309669 349454 402537 433726 524181 563798 619338 650589 722561 805074 845697 939253 1048362 1165757 1301178 1445122 1518041 1691394 1878506 1973293 2167683 2331514 2817759 3036082 3497271 3946586 4335366 4554123 5635518 5919879 6994542 8160299 9108246 11839758 16320598 23638067 24480897 30726991 47276134 48961794 61453982 70914201 92180973 127067513 141828402 165466469 184361946 215088937 254135026 266958353 330932938 381202539 430177874 496399407 533916706 645266811 762405078 800875059 889472591 992798814 1290533622 1601750118 1778945182 1868708471 2668417773 3737416942 5336835546 5606125413 11212250826 29098460477 58196920954 87295381431 174590762862 203689223339 407378446678 611067670017 1222135340034